THERMADYNE HOLDINGS CORP /DE
POS AM, 1999-04-14
MACHINE TOOLS, METAL CUTTING TYPES
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<PAGE>   1
 
   
     AS FILED WITH THE SECURITIES AND EXCHANGE COMMISSION ON APRIL 14, 1999
    
 
                                                      REGISTRATION NO. 333-57455
- --------------------------------------------------------------------------------
- --------------------------------------------------------------------------------
 
                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549
                             ---------------------
                                 POST EFFECTIVE
   
                                AMENDMENT NO. 1
    
                                       TO
                                    FORM S-1
                                       ON
                                    FORM S-3
            REGISTRATION STATEMENT UNDER THE SECURITIES ACT OF 1933
                             ---------------------
                        THERMADYNE HOLDINGS CORPORATION
             (Exact name of registrant as specified in its charter)
 
<TABLE>
<S>                            <C>                            <C>
           DELAWARE                         3548                        74-2482571
 (State or other jurisdiction   (Primary Standard Industrial         (I.R.S. Employer
              of                Classification Code Number)        Identification No.)
incorporation or organization)
</TABLE>
 
   
                        101 SOUTH HANLEY ROAD, SUITE 300
    
                           ST. LOUIS, MISSOURI 63105
                                 (314) 721-5573
   (Address, including zip code, and telephone number, including area code of
                   registrant's principal executive offices)
 
                               RANDALL E. CURRAN
                CHAIRMAN, PRESIDENT AND CHIEF EXECUTIVE OFFICER
                        THERMADYNE HOLDINGS CORPORATION
                        101 SOUTH HANLEY ROAD, SUITE 300
                           ST. LOUIS, MISSOURI 63105
                                 (314) 721-5573
 (Name, address, including zip code, and telephone number, including area code,
                             of agent for service)
 
                                    Copy to:
 
                                 R. SCOTT COHEN
                           WEIL, GOTSHAL & MANGES LLP
                         100 CRESCENT COURT, SUITE 1300
                              DALLAS, TEXAS 75201
 
   
     APPROXIMATE DATE OF COMMENCEMENT OF PROPOSED SALE TO THE PUBLIC: From time
to time after the effectiveness of this Post-Effective Amendment.
    
   
     If the only securities being registered on this form are being offered
pursuant to dividend or interest reinvestment plans, please check the following
box.  [ ]
    
     If any of the securities being registered on this Form are to be offered on
a delayed or continuous basis pursuant to Rule 415 under the Securities Act of
1933, check the following box.  [X]
     If this Form is filed to register additional securities for an offering
pursuant to Rule 462(b) under the Securities Act, check the following box and
list the Securities Act registration statement number of the earlier effective
registration statement for the same offering.  [ ]
     If this Form is a post-effective amendment filed pursuant to Rule 462(c)
under the Securities Act, check the following box and list the Securities Act
registration statement number of the earlier effective registration statement
for the same offering.  [ ]
     If delivery of the prospectus is expected to be made pursuant to Rule 434,
please check the following box.  [ ]
   
     THE REGISTRANT HEREBY AMENDS THIS REGISTRATION STATEMENT ON SUCH DATE OR
DATES AS MAY BE NECESSARY TO DELAY ITS EFFECTIVE DATE, UNTIL THE REGISTRANT
SHALL FILE A FURTHER AMENDMENT WHICH SPECIFICALLY STATES THAT THIS REGISTRATION
STATEMENT SHALL THEREAFTER BECOME EFFECTIVE IN ACCORDANCE WITH SECTION 8(A) OF
THE SECURITIES ACT OF 1933 OR UNTIL THE REGISTRATION STATEMENT SHALL BECOME
EFFECTIVE ON SUCH DATE AS THE COMMISSION, ACTING PURSUANT TO SAID SECTION 8(A),
MAY DETERMINE.
    
- --------------------------------------------------------------------------------
- --------------------------------------------------------------------------------
<PAGE>   2
 
                                EXPLANATORY NOTE
 
This Registration Statement covers the registration of an aggregate principal
amount at maturity of $174,000,000 of 12 1/2% Senior Discount Debentures due
2008 of Thermadyne Holdings Corporation for resale by Donaldson, Lufkin &
Jenrette Securities Corporation in market-making transactions.
<PAGE>   3
 
PROSPECTUS
 
                                  $174,000,000
 
                        Thermadyne Holdings Corporation
   
                  12 1/2% Senior Discount Debentures due 2008
    
 
- - OFFERING PRICE
   
  The debentures will be offered at negotiated prices, which will relate to
  prevailing market prices at the time of sale.
    
 
- - INTEREST
   
  The debentures will accrete at a rate of 12 1/2%, compounded semiannually, to
  an aggregate principal amount of $174 million on June 1, 2003. Cash interest
  will not accrue on the debentures before June 1, 2003. We will pay cash
  interest on the debentures at a rate of 12 1/2% per year on June 1 and
  December 1, beginning on December 1, 2003.
    
 
- - MATURITY
   
  The debentures will mature on June 1, 2008.
    
 
- - REDEMPTION
   
  We may redeem all or some of the debentures at any time on or after June 1,
  2003, in cash at the redemption prices described in this prospectus, plus
  accrued and unpaid interest and liquidated damages, if any.
    
 
   
- - CHANGE OF CONTROL OFFER TO REPURCHASE
    
   
  If we experience a change of control, we must offer to repurchase the
  debentures at
  a price equal to 101% of their principal amount.
    
- - RANKING
   
  The debentures will rank equally with all of our future senior indebtedness
  and will be senior to all of our future subordinated indebtedness. As a result
  of our holding company structure, the debentures will be structurally junior
  to all liabilities of our subsidiaries.
    
 
- - MARKET FOR THE DEBENTURES
  The debentures are not listed on any securities exchange or quoted through any
  automated quotation system, and no active public market for the debentures is
  anticipated.
 
   
For a more detailed description of the debentures, see "Description of the
Debentures" beginning on page 14.
    
 
   
INVESTING IN THE DEBENTURES INVOLVES RISKS. SEE "RISK FACTORS" BEGINNING ON PAGE
4.
    
 
Neither the Securities and Exchange Commission nor any state securities
commission has approved or disapproved of these securities or has passed upon
the adequacy or accuracy of this prospectus. Any representation to the contrary
is a criminal offense.
 
This prospectus will be used by Donaldson, Lufkin & Jenrette Securities
Corporation for offers and sales in market-making transactions at negotiated
prices, which relate to prevailing market prices at the time of the sale.
Donaldson, Lufkin & Jenrette intends to make a market in the debentures, however
it is not obligated to do so and any market-making may be discontinued at any
time. We will not receive any of the proceeds from the sale of the debentures
but we will incur expenses related to their registration.
 
                          DONALDSON, LUFKIN & JENRETTE
 
   
April   , 1999
    
<PAGE>   4
 
                                    SUMMARY
 
This brief summary highlights selected information from the prospectus. It does
not contain all of the information that is important to you. We urge you to read
the entire prospectus and the other documents to which it refers to fully
understand the terms of the debentures.
 
                                  THE COMPANY
 
OVERVIEW
 
Thermadyne is a leading global manufacturer of cutting and welding products and
accessories. We manufacture a broad range of gas (oxy-fuel) and electric arc
cutting and welding products that are ultimately sold to end-user customers who
are principally engaged in the following industries:
 
     - aerospace,
 
     - automotive,
 
     - construction,
 
     - metal fabrication,
 
     - mining,
 
     - mill and foundry,
 
     - petroleum, and
 
     - shipbuilding.
 
Our mailing address and telephone number are as follows:
 
   
101 South Hanley Road, Suite 300
    
St. Louis, Missouri 63105
(314) 721-5573
 
                                 THE DEBENTURES
 
   
The summary below describes the principal terms of the debentures. This summary
is not intended to be complete. We urge you to read the complete description of
the debentures shown in the section entitled "Description of the Debentures"
beginning on page 14.
    
 
   
Issuer.......................   Thermadyne Holdings
    
 
Securities Offered...........   $174 million aggregate principal amount at
                                maturity of 12 1/2% Senior Discount Debentures
                                due 2008.
 
Maturity Date................   June 1, 2008.
 
   
Yield and Interest...........   12 1/2%, computed on a semi-annual bond
                                equivalent basis, calculated from May 22, 1998.
                                The debentures will accrete at a rate of
                                12 1/2%, compounded semi-annually, to an
                                aggregate principal amount at maturity of $174
                                million on June 1, 2003. Cash interest will not
                                accrue on the debentures before June 1, 2003. We
                                will
    
                                        1
<PAGE>   5
 
                                pay cash interest on the debentures at a rate of
                                12 1/2% per year on each June 1 and December 1,
                                beginning December 1, 2003.
 
   
Optional Redemption..........   We may redeem all or a portion of the debentures
                                at any time on or after June 1, 2003 in cash at
                                the redemption prices provided in this
                                prospectus, plus accrued and unpaid interest and
                                liquidated damages, if any, to the applicable
                                redemption date. In addition, at any time before
                                June 1, 2003, we may, upon the occurrence of a
                                change of control of our Company, redeem all but
                                not some of the debentures, at a cash price
                                equal to:
    
 
   
                                - the present value of the sum of all the
                                  remaining premium and principal payments that
                                  would become due on the debentures as if the
                                  debentures were to remain outstanding and be
                                  redeemed on June 1, 2003, computed using a
                                  discount rate equal to the Treasury Rate, as
                                  that term is defined on page 16, plus 50 basis
                                  points, plus
    
 
                                - liquidated damages, if any, to the date of
                                  redemption.
 
   
Optional Redemption after
  Public Equity Offerings....   On or before June 1, 2001, we may redeem the
                                debentures at a cash price of 112.50% of the
                                accreted value of the debentures, plus
                                liquidated damages, if any, to the redemption
                                date, with the net cash proceeds of one or more
                                public equity offerings, as that term is defined
                                on page 48. If we redeem less than 100% of the
                                then outstanding debentures, at least 60% of the
                                aggregate principal amount at maturity of
                                debentures must remain outstanding immediately
                                after any redemption of this type.
    
 
Change of Control............   Upon the occurrence of a change of control of
                                our Company, you will have the right to require
                                us to repurchase all or any part of your
                                debentures at a cash price equal to:
 
                                - 101% of the accreted value of the debentures
                                  plus accrued and unpaid interest and any
                                  liquidated damages, if we repurchase the
                                  debentures before June 1, 2003, or
 
                                - 101% of the aggregate principal amount at
                                  maturity of the debentures plus accrued and
                                  unpaid interest and any liquidated damages, if
                                  we repurchase the debentures on or after June
                                  1, 2003.
 
                                We cannot assure you that we will have enough
                                money to repurchase the debentures following a
                                change of control of our Company.
                                        2
<PAGE>   6
 
   
Ranking......................   The debentures are senior obligations of our
                                Company, will rank equal in right of payment
                                with all of our future senior indebtedness and
                                will rank senior in right of payment to all of
                                our future indebtedness that is subordinate to
                                the debentures. As a result of our holding
                                company structure, the debentures will be
                                structurally junior to all liabilities of our
                                subsidiaries.
    
 
   
Original Issue Discount......   The debentures were issued at an original issue
                                discount for United States federal income tax
                                purposes. Thus, although cash interest will not
                                accrue on the debentures before June 1, 2003,
                                original issue discount, which is the difference
                                between the sum of all principal and interest
                                payable on the debentures and the issue price of
                                the debentures, will accrue from the issue date
                                of the debentures and will be included as
                                interest income periodically, including for
                                periods ending before June 1, 2003, in your
                                gross income for United States federal income
                                tax purposes before receipt of the cash payments
                                to which the income is attributable.
    
 
   
Certain Indenture
Provisions...................   The indenture governing the debentures contains
                                certain covenants that limit our and most of our
                                subsidiaries' ability to:
    
 
   
                                - incur indebtedness and issue preferred stock,
    
 
   
                                - repurchase our capital stock and certain
                                  indebtedness,
    
 
   
                                - enter into transactions with affiliates,
    
 
   
                                - enter into sale and leaseback transactions,
    
 
   
                                - incur or allow the existence of certain liens,
    
 
   
                                - pay dividends or make other distributions,
    
 
   
                                - make certain investments,
    
 
   
                                - sell assets, and
    
 
                                - merge or consolidate with another company.
 
                                USE OF PROCEEDS
 
This prospectus is being delivered to you in connection with the sale of the
debentures by Donaldson, Lufkin & Jenrette Securities Corporation in
market-making transactions. We will not receive any of the proceeds from the
sale.
 
                                  RISK FACTORS
 
   
We urge you to carefully review the Risk Factors beginning on page 4 for a
discussion of factors you should consider in evaluating an investment in the
debentures.
    
                                        3
<PAGE>   7
 
                                  RISK FACTORS
 
In addition to the other information contained in this prospectus, you should
carefully consider the following information about our business before making an
investment in the debentures.
 
   
YOU SHOULD NOT PLACE UNDUE RELIANCE ON ANY OF OUR FORWARD-LOOKING STATEMENTS.
    
 
   
This prospectus contains certain forward-looking statements about our financial
condition, results of operations and business. You can identify many of these
statements by looking for words such as "believes," "expects," "may," "will,"
"should," "seeks," "pro forma," "anticipates" or "intends" or the negative of
any of these words, or any other similar words, or by discussions of strategy or
intentions.
    
 
   
These forward-looking statements are subject to numerous assumptions, risks and
uncertainties. Factors which may cause our actual results, performance or
achievements, to be materially different from any future results, performance or
achievements expressed or implied by us in those statements include the
following:
    
 
     - the competitive nature of the cutting and welding industry in general as
       well as our specific market areas;
 
     - changes in prevailing interest rates and the availability of and terms of
       financing to fund the anticipated growth of our business;
 
     - inflation;
 
     - changes in costs of goods and services;
 
     - economic conditions in general as well as in our specific market areas;
 
     - changes in or our failure to comply with federal, state and/or local
       government regulations;
 
     - liability and other claims asserted against us;
 
     - changes in our operating strategy or development plans;
 
     - our ability to attract and retain qualified personnel;
 
     - our ability to pay interest and principal on a very large amount of debt;
 
     - labor disturbances;
 
     - changes in our acquisition and capital expenditure plans; and
 
     - any other factors described in this prospectus.
 
   
Because these statements are necessarily dependent upon assumptions, estimates
and dates that may be incorrect or imprecise and involve known and unknown
risks, uncertainties and other factors, you should not consider any of the
forward-looking statements included in this prospectus to be predictions of
future events. Given these uncertainties, you are cautioned not to place undue
reliance on any forward-looking statements. We do not undertake any
responsibility to update you on the occurrence of any unanticipated events or to
publicly announce the results of any revisions to any of the forward-looking
statements contained in this prospectus to reflect future events or
developments.
    
 
                                        4
<PAGE>   8
 
   
WE HAVE A SUBSTANTIAL AMOUNT OF DEBT, WHICH COULD ADVERSELY AFFECT OUR FINANCIAL
CONDITION AND RESULTS OF OPERATIONS AND PREVENT US FROM FULFILLING OUR
OBLIGATIONS UNDER THESE DEBENTURES.
    
 
   
We have a large amount of consolidated indebtedness when compared to the
consolidated equity of our stockholders. As of December 31, 1998, we had
outstanding consolidated indebtedness of approximately $710.7 million, $77.4
million of additional borrowings available under the credit facility of our
subsidiary, Thermadyne Mfg. LLC, and a stockholder's deficit of $496.3 million.
Our subsidiaries, Thermadyne Mfg. and Thermadyne Capital Corp., are parties to
the credit facility, the indenture that governs the 9 7/8% senior subordinated
notes due 2008 issued by Thermadyne Mfg. and Thermadyne Capital and the
indenture that governs the debentures. The credit facility and the various
indentures limit, but do not prohibit, the incurrence of additional indebtedness
by us.
    
 
   
Such a large amount of indebtedness could have negative consequences for us,
including the following:
    
 
     - our cash flow available for general corporate purposes, including
       acquisitions, could be limited because a substantial portion of our cash
       flow from operations is used to pay our debt;
 
     - our ability to obtain financing in the future for working capital,
       capital expenditures or acquisitions could be limited;
 
     - our flexibility in reacting to competitive and other changes in the
       industry and economic conditions generally could be limited; and
 
     - some of our borrowings are at variable rates of interest, which may make
       us vulnerable to increases in interest rates.
 
   
OUR ABILITY TO GENERATE SIGNIFICANT CASH FLOW REQUIRED TO SERVICE OUR
INDEBTEDNESS DEPENDS ON MANY FACTORS BEYOND OUR CONTROL.
    
 
   
Our ability to make scheduled payments of principal of, to pay interest on or to
refinance our indebtedness and to satisfy our other debt obligations depends
upon our future operating performance, which will be affected by general
economic, financial, competitive, legislative, regulatory, business and other
factors beyond our control. We anticipate that our operating cash flow, together
with borrowings under the credit facility, will be sufficient to meet our
anticipated future operating expenses, capital expenditures and to pay our
indebtedness as it becomes due. However, if our future operating cash flows are
less than currently anticipated we may be forced, in order to meet our debt
service obligations, to reduce or delay acquisitions or capital expenditures,
sell assets or reduce operating expenses, including investment spending such as
selling and marketing expenses, expenditures on management information systems
and expenditures on new products. If we were unable to meet our debt service
obligations, we could attempt to restructure or refinance our indebtedness or to
seek additional equity capital. We cannot guarantee that we will be able to do
any of the foregoing on satisfactory terms, if at all.
    
 
   
WE ARE DEPENDENT ON OUR SUBSIDIARIES DUE TO OUR HOLDING COMPANY STRUCTURE.
    
 
   
We are a holding company, and our ability to pay interest on the debentures is
dependent upon the receipt of dividends from our direct and indirect
subsidiaries. We do not have, and may not in the future have, any assets other
than ownership interests in Thermadyne Mfg. Thermadyne Mfg. and certain of its
subsidiaries are parties to the credit facility and the indenture that governs
the senior subordinated notes issued by Thermadyne Mfg. and
    
 
                                        5
<PAGE>   9
 
   
Thermadyne Capital, each of which imposes substantial restrictions on Thermadyne
Mfg.'s ability to pay dividends to us. Any payment of dividends will be subject
to the satisfaction of certain financial conditions provided in the indenture
that governs the senior subordinated notes and the credit facility. The ability
of Thermadyne Mfg. and its subsidiaries to comply with the conditions in the
indenture that governs the outstanding 9 7/8% senior subordinated notes of
Thermadyne Mfg. and Thermadyne Capital may be affected by events that are beyond
our control. The breach of any of these conditions could result in a default
under the senior subordinated notes indenture and/or the credit facility, and if
a default occurs, the holders of the senior subordinated notes or the lenders
under the credit facility could elect to accelerate the maturity of all the
senior subordinated notes or the loans under the credit facility. If this
occurred, all this outstanding debt would be required to be paid in full before
Thermadyne Mfg. or its subsidiaries would be permitted to distribute any assets
or cash to our Company.
    
 
   
We cannot guarantee that our assets will be sufficient to repay all of our
outstanding debt and to meet our obligations under the indenture that governs
the debentures. Future borrowings by Thermadyne Mfg. can be expected to contain
restrictions or prohibitions on the payment of dividends by our subsidiaries to
us. In addition, under Delaware law, a limited liability company may not make
distributions to its members if, after giving effect to the proposed
distributions, the liabilities of the limited liability company would exceed the
fair value of its assets. We cannot predict what the value of our subsidiaries'
assets or the amount of their liabilities will be in the future and whether
these values or amounts will permit the payment of distributions to us.
Accordingly, we cannot guarantee that we will be able to pay our debt service
obligations on the debentures.
    
 
   
As a result of our holding company structure, the holders of the debentures will
be structurally junior to all creditors of our subsidiaries, except to the
extent that we are recognized as a creditor of any of our subsidiaries, in which
case our claims would still be subordinate to any security in the assets of the
subsidiary and any indebtedness of the subsidiary senior to that held by us. In
the event of insolvency, liquidation, reorganization, dissolution or other
winding-up of our subsidiaries, we will not receive any funds available to pay
to creditors of the subsidiaries. As of December 31, 1998, the aggregate amount
of indebtedness and other obligations of our subsidiaries, including trade
payables, was approximately $720.9 million.
    
 
   
WE MAY NOT HAVE THE ABILITY TO RAISE THE FUNDS NECESSARY TO FINANCE THE CHANGE
OF CONTROL OFFER REQUIRED BY THE INDENTURE.
    
 
   
If there is a change of control of our Company, you will have the right to
require us to repurchase all or any part of your debentures at a cash price
equal to 101% of the aggregate principal amount of the debentures, plus accrued
and unpaid interest and liquidated damages, if any, on the debentures to the
date of repurchase. We cannot guarantee that we will have enough money to
repurchase the debentures if a change of control occurs.
    
 
   
If we do not obtain the consent of the lenders under the agreements governing
the outstanding indebtedness of our subsidiaries, including under the credit
facility and the senior subordinated notes indenture, to permit the repurchase
of the debentures or do not refinance such indebtedness, we will probably not
have the financial resources to repurchase the debentures if there is a change
of control, and our subsidiaries will be restricted by the terms of their
outstanding indebtedness from paying dividends to us or otherwise lending or
distributing funds to us for the purpose of any repurchase. In any
    
 
                                        6
<PAGE>   10
 
   
event, we cannot guarantee that our subsidiaries will have the resources
available to pay a dividend to us or make any distribution to us.
    
 
   
Furthermore, the credit facility provides that certain change of control events
will constitute a default under the credit facility, and the senior subordinated
notes indenture provides that, if there is a change of control, Thermadyne Mfg.
and Thermadyne Capital will be required to offer to repurchase the senior
subordinated notes at the price specified in the notes indenture.
    
 
   
Our failure to make an offer to repurchase the debentures upon a change of
control of our Company when required or to repurchase tendered debentures when
tendered would constitute an event of default under the indenture that governs
the debentures.
    
 
   
YOU WILL BE REQUIRED TO PAY FEDERAL INCOME TAX ON INTEREST PAYMENTS YOU HAVE NOT
YET RECEIVED AND YOU MAY NOT BE ABLE TO RECOVER THE PRINCIPAL AMOUNT AT MATURITY
OF THE DEBENTURES IF THERE IS AN EVENT OF DEFAULT.
    
 
The debentures were issued at a substantial original issue discount from their
principal amount at maturity. Consequently, if you purchase the debentures you
will be required to include amounts in gross income for federal income tax
purposes before you receive the cash payments to which the income is
attributable.
 
   
Under the indenture that governs the debentures, if there is an acceleration of
the maturity of the debentures upon the occurrence of an event of default, you
may be entitled to recover only the amount which may be declared due and payable
under the indenture, which will be less than the principal amount at maturity of
your debentures. See "Description of the Debentures--Events of Default and
Remedies" beginning on page 32 for more information.
    
 
If a bankruptcy case is commenced by or against us under the United States
Bankruptcy Code, your claim as a holder of debentures with respect to the
principal amount of the debentures may be limited to an amount equal to the sum
of
 
     - the issue price of the debentures and
 
   
     - that portion of the original issue discount, as determined on the basis
       of the issue price, which is not considered "unmatured interest" for
       purposes of the Bankruptcy Code.
    
 
Accordingly, under these circumstances you may, even if sufficient funds are
available, receive a lesser amount than you would be entitled to under the
express terms of the indenture. In addition, we cannot assure you that a
bankruptcy court would compute the accrual of interest under the same rules as
those used for the calculation of original issue discount under federal income
tax law. As a result, you might be required to recognize gain or loss for any
distributions resulting from a bankruptcy case.
 
   
CERTAIN AFFILIATED FUNDS AND ENTITIES OF DONALDSON, LUFKIN & JENRETTE ARE OUR
PRINCIPAL STOCKHOLDERS AND EXERCISE CONTROL OVER US.
    
 
   
Approximately 82.5% of the outstanding shares of our common stock is held by
affiliated funds and entities of DLJ Merchant Banking Partners II, L.P. As a
result of their stock ownership, these funds and entities control our company
and have the power to elect a majority of our directors, appoint new management
and approve any action requiring the approval of the holders of our common
stock. This includes adopting certain amendments to our certificate of
incorporation and approving mergers or sales of all or substantially all
    
 
                                        7
<PAGE>   11
 
   
of our assets. The directors elected by the funds and entities will have the
authority to make decisions that affect our capital structure, including the
issuance of additional capital stock, the implementation of stock repurchase
programs and the declaration of dividends. Your interests may differ from the
interests of the funds and other entities affiliated with Donaldson, Lufkin &
Jenrette.
    
 
   
The general partners of each of the funds and entities are affiliates or
employees of Donaldson, Lufkin & Jenrette, Inc. DLJ Capital Funding, which acted
as syndication agent for the credit facility, is also an affiliate of Donaldson,
Lufkin & Jenrette, Inc. Donaldson, Lufkin & Jenrette Securities Corporation,
which placed the senior subordinated notes and the debentures, is also an
affiliate of Donaldson, Lufkin & Jenrette, Inc.
    
 
Having a controlling stockholder is likely to make it more difficult for a third
party to acquire, or to discourage a third party from seeking to acquire, a
majority of our outstanding common stock. A third party would be required to
negotiate any of these transactions with the funds and the interests of the
funds may be different from yours.
 
   
WE MAY NOT BE ABLE TO CONTINUE OUR AGGRESSIVE ACQUISITION STRATEGY.
    
 
   
We have historically pursued an aggressive acquisition strategy. We have
completed ten acquisitions from September 13, 1994 to December 31, 1998, and we
expect to continue to pursue this strategy to promote our growth. There are
various risks associated with pursuing a growth strategy of this nature. For
example:
    
 
     - any future growth will require us to manage our expanding domestic and
       international operations, integrate new businesses and adapt our
       operational and financial systems to respond to changes in our business
       environment, while maintaining a competitive cost structure;
 
     - our acquisition strategy will continue to place significant demands on us
       and our management to improve our operational, financial and management
       information systems, to develop further the skills of our managers and
       supervisors, and to continue to retain, train, motivate and effectively
       manage our employees;
 
     - our failure to manage our prior or future growth effectively could have a
       material adverse effect on our Company; and
 
     - we cannot guarantee that suitable acquisition candidates will be
       available or that acquisitions can be completed on reasonable terms.
 
   
Additionally, our ability to maintain and increase our revenue base and to
respond to shifts in customer demand and changes in industry trends will be
partially dependent on our ability to generate enough cash flow or obtain enough
capital for the purpose of, among other things, financing acquisitions,
satisfying customer contractual requirements and financing infrastructure
growth. We cannot guarantee that we will be able to generate sufficient cash
flow or that financing will be available on acceptable terms, if at all, or will
be permitted under the terms of the credit facility or notes indenture and any
future indebtedness, to fund our future growth.
    
 
   
BECAUSE OUR INDUSTRY IS CYCLICAL IN NATURE, WE MAY BE ADVERSELY AFFECTED BY
CYCLICAL DOWNTURNS IN THE INDUSTRY.
    
 
The cutting and welding industry in the United States is a mature industry that
is cyclical in nature. The substitution of plastic, concrete and other materials
impacts the use of fabricated metal parts in many products and structures.
Increased offshore manufacturing
 
                                        8
<PAGE>   12
 
by United States companies has contributed to slow growth rates in the domestic
manufacturing industry and in turn has led to slower growth in the United States
cutting and welding industry. During periods of economic expansion the cutting
and welding industry has grown at double digit rates but has experienced
contraction during periods of slowing industrial activity. We cannot guarantee
that during future periods of economic expansion the cutting and welding
industry will experience the same growth rates as it has in the past. Although
we believe that our exposure to cyclical downturns is moderated by our broad
customer base and the diversity of the industries we serve, cyclical downturns
could have an adverse effect on our period-to-period results.
 
   
INVESTING IN INTERNATIONAL MARKETS PRESENTS MANY RISKS.
    
 
   
Our growth strategy includes increasing the marketing of our existing products
into Europe, Asia, Latin America and other developing economies. However, we
cannot assure you that we will be successful in our expansion efforts.
    
 
Approximately 37% of our net sales in 1998, including our United States third
party export sales, were made to purchasers located in foreign countries.
Because of our foreign operations, our business is subject to the currency risks
of doing business abroad, including exchange rate fluctuations and limits on the
repatriation of funds.
 
Additionally, as a result of the current downturn in the Asian economy, there
may be a decrease in infrastructure development in the Asian region or an
overall worldwide contraction of industrial development. The impact of decreased
development could have a material adverse effect on our business, financial
condition or results of operations.
 
Further, many developing economies have a significant degree of political and
economic uncertainty. Social unrest, the absence of trained labor pools and the
uncertainty of entering into joint ventures or other partnership arrangements
with local organizations have slowed business activities in some large
developing economies. The political and economic uncertainties present in these
promising growth markets may adversely impact our ability to implement and
achieve our foreign growth objectives.
 
   
OUR INDUSTRY IS HIGHLY COMPETITIVE.
    
 
The cutting and welding industry is highly competitive. While we believe we are
one of only a few worldwide broad line manufacturers of both cutting and welding
equipment and consumable products, we compete in each of our businesses with
other broad line manufacturers and numerous smaller competitors that specialize
in particular products.
 
   
Although we have historically experienced little direct foreign competition in
the United States, fluctuations in the value of the United States dollar against
other currencies could make the United States market more attractive to foreign
exporters.
    
 
   
We currently experience substantial competition in the foreign markets in which
we compete.
    
 
   
WE MAY INCUR ENVIRONMENTAL LIABILITY WHICH COULD HAVE A MATERIAL ADVERSE EFFECT
ON OUR OPERATIONS.
    
 
Our operations are subject to federal, state, local and foreign laws and
regulations relating to the storage, handling, generation, treatment, emission,
release, discharge and disposal of certain substances and wastes. As a result,
we are occasionally involved in administrative or legal proceedings relating to
environmental matters and have in the past and will continue in the future to
incur capital costs and other expenditures relating to
 
                                        9
<PAGE>   13
 
   
environmental matters. Liability under environmental laws may be imposed on
current and prior owners and operators of property or businesses without regard
to fault or to knowledge about the condition or action causing the liability. We
may be required to incur costs relating to the remediation of properties,
including properties at which we dispose of waste. Environmental conditions
could also lead to claims for personal injury, property damage or damages to
natural resources. We are aware of environmental conditions at certain
properties which we now or previously owned or leased that are undergoing
remediation and we have in the past and may in the future be named a potentially
responsible party at off-site disposal sites where we have sent waste.
    
 
   
We believe, based on current information, that any costs we may incur relating
to environmental matters will not have a material adverse effect on our
business, financial condition or our result of operations. We cannot guarantee,
however, that we will not incur significant fines, penalties or other
liabilities associated with noncompliance or clean-up liabilities or that future
events, such as changes in laws or the interpretation of those laws, the
development of new facts or the failure of other potentially responsible parties
to pay their share of remediation costs will not cause us to incur additional
costs that could have a material adverse effect on our business, financial
condition or results of operations.
    
 
   
YOU CANNOT BE SURE THAT AN ACTIVE TRADING MARKET WILL DEVELOP FOR THE
DEBENTURES.
    
 
   
There is no existing trading market for the debentures and we cannot guarantee
that there will be a market at any time in the future. We also cannot assure you
that you will be able to sell your debentures. If a market were to develop, the
debentures could trade at prices that may be higher or lower than their initial
offering price depending upon many factors, including:
    
 
     - prevailing interest rates;
 
     - our operating results; and
 
     - the market for similar securities.
 
   
Although not obligated to do so, Donaldson, Lufkin & Jenrette Securities
Corporation intends to make a market in the debentures. This market-making
activity may be discontinued at any time, for any reason, without notice at the
sole discretion of Donaldson, Lufkin & Jenrette Securities Corporation.
    
 
                                       10
<PAGE>   14
 
   
OUR BUSINESS AND OUR SUPPLIERS' BUSINESSES ARE HIGHLY DEPENDENT ON COMPUTER
SYSTEMS. ANY COMPUTER PROBLEMS DUE TO THE YEAR 2000 MAY ADVERSELY AFFECT OUR
BUSINESS.
    
 
   
An issue exists for all companies that rely on computers as the year 2000
approaches. The "Year 2000" problem is the result of the past practice in the
computer industry of using two digits rather than four to define the applicable
year. This practice could result in incorrect results when computers perform
arithmetic operations, comparisons or data field sorting involving years later
than 1999. As a result, any of our computer programs that have time-sensitive
software may recognize a date using "00" as the year 1900 rather than the year
2000. This could result in a system failure or miscalculations causing
disruptions of operations, including, among other things, a temporary inability
to process transactions, send invoices, or engage in similar normal business
activities. We believe that our internal systems are Year 2000 compliant or will
be upgraded or replaced in connection with previously planned changes to
information systems before the need to comply with Year 2000 requirements.
However, we are uncertain as to the extent our customers and vendors may be
affected by Year 2000 issues that require commitment of significant resources
and may cause disruptions in our customers' and our vendors' businesses.
    
 
                                       11
<PAGE>   15
 
                       RATIO OF EARNINGS TO FIXED CHARGES
 
   
The following table sets forth our unaudited historical ratios of earnings to
fixed charges. For purposes of this computation, "earnings" consist of income
(loss) before income taxes plus fixed charges. "Fixed charges" consist of
interest expense, amortization of deferred financing costs and one-third of the
rent expense from our operating losses, which we believe is a reasonable
approximation of the interest component of rent expense. Earnings were not
sufficient to cover fixed charges by $80.8 million, $123.3 million, $63.5
million and $34.8 million for the fiscal years ended December 31, 1994, 1995,
1996 and 1998 respectively.
    
 
   
<TABLE>
<CAPTION>
    YEAR ENDED DECEMBER 31,
- --------------------------------
1998   1997   1996   1995   1994
- ----   ----   ----   ----   ----
          (UNAUDITED)
<S>    <C>    <C>    <C>    <C>
  --   1.6x    --     --     --
</TABLE>
    
 
                                USE OF PROCEEDS
 
   
This prospectus is being delivered in connection with the sale of debentures by
Donaldson, Lufkin & Jenrette Securities Corporation in market-making
transactions. We will not receive any of the proceeds from the sale of the
debentures.
    
 
                                       12
<PAGE>   16
 
                              PLAN OF DISTRIBUTION
 
   
This prospectus will be used by Donaldson, Lufkin & Jenrette Securities
Corporation ("DLJSC") in connection with offers and sales of the debentures in
market-making transactions effected from time to time. DLJSC may act as a
principal or agent in these transactions, including as agent for the
counterparty when acting as principal or as agent for both counterparties, and
may receive compensation in the form of discounts and commissions, including
from both counterparties when it acts as agent for both. Such sales will be made
at prevailing market prices at the time of sale, at prices related thereto or at
negotiated prices.
    
 
   
DLJ Merchant Banking Partners II, L.P. ("DLJMB"), an affiliate of DLJSC, and
certain of its affiliates beneficially own approximately 82.5% of the common
stock of Thermadyne Holdings Corporation (the "Company"). Peter T. Grauer, a
principal of DLJMB, is a member of the Board of Directors of Thermadyne Mfg.,
Thermadyne Capital and the Company; William F. Dawson, Jr., a principal of
DLJMB, is a member of the Board of Directors of Thermadyne Mfg., Thermadyne
Capital and the Company; and Lawrence M.v.D. Schloss, a principal of DLJMB, is a
member of the Board of Directors of the Company. DLJSC has informed the Company
that it does not intend to confirm sales of the debentures to any accounts over
which it exercises discretionary authority without the prior specific written
approval of such transactions by the customer.
    
 
   
The Company has been advised by DLJSC that, subject to applicable laws and
regulations, DLJSC, as the initial purchaser of the debentures, currently
intends to make a market in the debentures. However, DLJSC is not obligated to
do so and any such market-making may be interrupted or discontinued at any time
without notice. In addition, this market-making activity will be subject to the
limits imposed by the Securities Act of 1933 and the Securities Exchange Act of
1934. There can be no assurance that an active trading market will develop or be
sustained. See "Risk Factors."
    
 
   
DLJSC has, from time to time, provided investment banking and other financial
advisory services to the Company in the past for which they have received
customary compensation, including fees received in connection with the offering
of the debentures, and may provide such services and financial advisory services
to the Company in the future. DLJSC acted as purchasers in connection with the
initial sale of the debentures for which it received an underwriting discount of
approximately $9 million.
    
 
   
We have entered into a Registration Rights Agreement with DLJSC with respect to
its use of this prospectus. Pursuant to this agreement, we agreed to bear all
registration expenses incurred under the agreement, and we agreed to indemnify
DLJSC against certain liabilities under the Securities Act.
    
 
                                       13
<PAGE>   17
 
   
                         DESCRIPTION OF THE DEBENTURES
    
 
GENERAL
 
   
The 12 1/2% Senior Discount Debentures due 2008 (the "Debentures") were issued
pursuant to an Indenture (the "Indenture") among Thermadyne Holdings Corporation
(the "Issuer") and IBJ Schroder Bank & Trust Company, as trustee (the
"Trustee"). The terms of the Debentures include those stated in the Indenture
and those made part of the Indenture by reference to the Trust Indenture Act of
1939, as amended (the "Trust Indenture Act"). The Debentures are subject to all
of these terms, and holders of Debentures are referred to the Indenture and the
Trust Indenture Act for a statement of the terms. A copy of the Indenture has
been filed as an exhibit to the Registration Statement of which this Prospectus
is a part and the summary in this section of certain provisions of the Indenture
and the Trust Indenture Act does not purport to be complete and is qualified in
its entirety by reference to the Indenture and the Trust Indenture Act. The
definitions of certain terms used in the following summary are shown below under
the caption "--Certain Definitions."
    
 
   
The Debentures are general unsecured obligations of the Issuer and are senior in
right of payment to all future Indebtedness of the Issuer that is subordinated
to the Debentures and pari passu in right of payment with all future
Indebtedness of the Issuer that is not subordinated to the Debentures. The
Issuer is the sole obligor with respect to the Debentures and the operations of
the Issuer are conducted entirely through its Subsidiaries. Therefore, the
Issuer is completely dependent upon the operations and cash flow of its
Subsidiaries to meet its obligations, including its obligations under the
Debentures. The New Credit Facility and the Senior Subordinated Notes restrict
Thermadyne LLC from paying any dividends or making any other distributions to
the Issuer. The ability of Thermadyne LLC to comply with the conditions in the
Senior Subordinated Notes may be affected by certain events that are beyond the
Issuer's control. The Debentures are effectively subordinated to all
Indebtedness and other liabilities, including trade payables and lease
obligations, of the Issuer's Subsidiaries, including to Thermadyne LLC's
obligations under the New Credit Facility and the Senior Subordinated Notes. Any
right of the Issuer to receive assets of any of its Subsidiaries upon the
Subsidiary's liquidation or reorganization and the consequent right of Holders
of the Senior Subordinated Notes to participate in those assets is effectively
subordinated to the claims of that Subsidiary's creditors except to the extent
that the Issuer itself is recognized as a creditor of such Subsidiary. In this
case, the claims of the Issuer would still be subordinate to the claims of the
creditors who hold security in the assets of the Subsidiary and to the claims of
the creditors who hold Indebtedness of the Subsidiary senior to that held by the
Issuer. As of December 31, 1998, the Issuer had outstanding approximately $710.7
million of Indebtedness and the Issuer's Subsidiaries had approximately $720.9
million of liabilities outstanding, including Indebtedness under the Senior
Subordinated Notes and the New Credit Facility and including trade payables. The
Indenture permits the incurrence of certain additional Indebtedness of the
Issuer and the Issuer's Subsidiaries in the future. See "--Certain
Covenants--Incurrence of Indebtedness and Issuance of Preferred Stock."
    
 
   
Substantially all of the Issuer's Subsidiaries, other than Thermadyne
Receivables, Inc., are Restricted Subsidiaries. However, under certain
circumstances, the Issuer will be permitted to designate current or future
Subsidiaries as Unrestricted Subsidiaries. Unrestricted Subsidiaries will not be
subject to the restrictive covenants set forth in the Indenture.
    
 
                                       14
<PAGE>   18
 
PRINCIPAL, MATURITY AND INTEREST
 
   
The Debentures are limited in aggregate principal amount at maturity to $174
million and will mature on June 1, 2008. The Debentures were issued at a
substantial discount from their principal amount at maturity. Until June 1,
2003, no interest will accrue on the Debentures, but the Accreted Value will
increase (representing amortization of original issue discount) between the date
of original issuance and June 1, 2003, on a semi-annual bond equivalent basis
using a 360-day year comprised of twelve 30-day months, such that the Accreted
Value shall be equal to the full principal amount at maturity of the Debentures
on June 1, 2003. Beginning on June 1, 2003, interest on the Debentures will
accrue at the rate of 12 1/2% per annum and will be payable in cash
semi-annually in arrears on June 1 and December 1, beginning on December 1,
2003, to Holders of record on the immediately preceding May 15 and November 15.
Interest on the Debentures will accrue from the most recent date to which
interest has been paid or, if no interest has been paid, from June 1, 2003.
Interest will be computed on the basis of a 360-day year comprised of twelve
30-day months. Principal of, premium, if any, and interest and Liquidated
Damages, if any, on the Debentures will be payable at the office or agency of
the Issuer maintained for such purpose within the City and State of New York or,
at the option of the Issuer, payment of interest and Liquidated Damages may be
made by check mailed to the Holders of the Debentures at their respective
addresses set forth in the register of Holders of Debentures; provided that all
payments of principal, premium, interest and Liquidated Damages with respect to
Debentures represented by one or more permanent global Debentures will be paid
by wire transfer of immediately available funds to the account of The Depository
Trust Company or any successor thereto. Until otherwise designated by the
Issuer, the Issuer's office or agency in New York will be the office of the
Trustee maintained for such purpose. The Debentures will be issued in
denominations of $1,000 and integral multiples thereof.
    
 
   
Subject to the covenants described below, the Issuer may issue additional notes
under the Indenture having the same terms in all respects as the Debentures, or
in all respects except for the payment of interest on the Debentures (a)
scheduled and paid prior to the date of issuance of such notes or (b) payable on
the first interest payment date, as specified in the Debenture, following such
date of issuance. The Debentures and any additional notes would be treated as a
single class for all purposes under the Indenture.
    
 
OPTIONAL REDEMPTION
 
   
Except as provided below, the Debentures are not redeemable at the Issuer's
option before June 1, 2003. Thereafter, the Debentures will be redeemable at any
time at the option of the Issuer, in whole or in part, upon not less than 30 nor
more than 60 days' notice, in cash at the redemption prices, expressed as
percentages of principal amount at maturity, shown below, plus accrued and
unpaid interest and Liquidated Damages, if any, thereon to the applicable
redemption date, if redeemed during the twelve-month period beginning on June 1
of the years indicated below:
    
 
<TABLE>
<CAPTION>
YEAR                                                  PERCENTAGE
<S>                                                   <C>
2003................................................   106.250%
2004................................................   104.167%
2005................................................   102.083%
2006 and thereafter.................................   100.000%
</TABLE>
 
                                       15
<PAGE>   19
 
   
Notwithstanding the foregoing, on or before June 1, 2001, the Issuer may redeem
up to 100% of the aggregate principal amount at maturity of Debentures ever
issued under the Indenture in cash at a redemption price of 112.50% of the
Accreted Value thereof, plus Liquidated Damages, if any, thereon to the
redemption date, with the net cash proceeds of one or more Public Equity
Offerings; provided that, if the Issuer redeems less than 100% of the then
outstanding Debentures, at least 60% of the aggregate principal amount at
maturity of Debentures ever issued under the Indenture remains outstanding
immediately after the occurrence of any such redemption; and provided further
that such redemption shall occur within 90 days of the date of the closing of
any such Public Equity Offering.
    
 
   
In addition, at any time before June 1, 2003, the Issuer may, at its option upon
the occurrence of a Change of Control (as hereinafter defined), redeem the
Debentures, in whole but not in part, upon not less than 30 nor more than 60
days' prior notice, but in no event may any such redemption occur more than 60
days after the occurrence of such Change of Control, in cash at a redemption
price equal to:
    
 
   
     - the present value of the sum of all the remaining premium and principal
       payments that would become due on the Debentures as if the Debentures
       were to remain outstanding and be redeemed on June 1, 2003, computed
       using a discount rate equal to the Treasury Rate plus 50 basis points,
       plus
    
 
   
     - Liquidated Damages, if any, to the date of redemption.
    
 
   
"Treasury Rate" means, as of any redemption date, the yield to maturity as of
such redemption date of United States Treasury securities with a constant
maturity, as compiled and published in the most recent Federal Reserve
Statistical Release H.15 (519) that has become publicly available at least two
Business Days prior to the redemption date (or, if such Statistical Release is
no longer published, any publicly available source of similar market data), most
nearly equal to the period from the redemption date to June 1, 2003; provided
that if the period from the redemption date to June 1, 2003 is less than one
year, the weekly average yield on actually traded United States Treasury
securities adjusted to a constant maturity of one year shall be used.
    
 
SELECTION AND NOTICE
 
If less than all of the Debentures are to be redeemed at any time, selection of
Debentures for redemption will be made by the Trustee in compliance with the
requirements of the principal national securities exchange, if any, on which the
Debentures are listed, or, if the Debentures are not so listed, on a pro rata
basis, by lot or by such method as the Trustee shall deem fair and appropriate;
provided that no Debentures having a principal amount at maturity of $1,000 or
less shall be redeemed in part. Notices of redemption shall be mailed by first
class mail at least 30 but not more than 60 days before the redemption date to
each Holder of Debentures to be redeemed at its registered address. Notices of
redemption may not be conditional. If any Debenture is to be redeemed in part
only, the notice of redemption that relates to such Debenture shall state the
portion of the principal amount at maturity thereof to be redeemed. A new
Debenture in principal amount at maturity equal to the unredeemed portion
thereof will be issued in the name of the Holder thereof upon cancellation of
the original Debenture. Debentures called for redemption become due on the date
fixed for redemption. On and after the redemption date, interest ceases to
accrue on Debentures or portions of them called for redemption.
 
                                       16
<PAGE>   20
 
MANDATORY REDEMPTION
 
The Issuer is not required to make mandatory redemption of, or sinking fund
payments with respect to, the Debentures.
 
REPURCHASE AT THE OPTION OF HOLDERS
 
CHANGE OF CONTROL
 
   
Upon the occurrence of a Change of Control, each Holder of Debentures will have
the right to require the Issuer to repurchase all or any part, equal to $1,000
principal amount at maturity or an integral multiple thereof, of such Holder's
Debentures pursuant to the offer described below (the "Change of Control Offer")
at an offer price in cash equal to 101% of the aggregate principal amount at
maturity thereof, plus accrued and unpaid interest and Liquidated Damages, if
any, thereon to the date of repurchase (or, in the case of repurchases of
Debentures before June 1, 2003, at a purchase price equal to 101% of the
Accreted Value thereof, plus Liquidated Damages, if any, thereon as of the date
of redemption) (the "Change of Control Payment"). Within 65 days following any
Change of Control, the Issuer will, or will cause the Trustee to, mail a notice
to each Holder describing the transaction or transactions that constitute the
Change of Control and offering to repurchase Debentures, pursuant to the
procedures required by the Indenture and described in such notice. The Issuer
will comply with the requirements of Rule 14e-1 under the Securities Exchange
Act and any other securities laws and regulations thereunder to the extent such
laws and regulations are applicable in connection with the repurchase of the
Debentures as a result of a Change of Control. To the extent that the provisions
of any securities laws or regulations conflict with the provisions of the
Indenture relating to the Change of Control Offer, the Issuer will comply with
the applicable securities laws and regulations and shall not be deemed to have
breached its obligations described in the Indenture by virtue thereof.
    
 
On the Change of Control Payment Date, the Issuer will, to the extent lawful,
 
   
     - accept for payment all Debentures or portions thereof properly tendered
       pursuant to the Change of Control Offer,
    
 
   
     - deposit with the Paying Agent an amount equal to the Change of Control
       Payment in respect of all Debentures or portions thereof so tendered and
    
 
   
     - deliver or cause to be delivered to the Trustee the Debentures so
       accepted together with an Officers' Certificate stating the aggregate
       principal amount at maturity of Debentures or portions thereof being
       purchased by the Issuer.
    
 
   
The Paying Agent will promptly mail to each Holder of Debentures so tendered the
Change of Control Payment for the Debentures, and the Trustee will promptly
authenticate and mail, or cause to be transferred by book-entry, to each Holder
a new Debenture equal in principal amount at maturity to any unpurchased portion
of the Debentures surrendered, if any; provided that each new Debenture will be
in a principal amount at maturity of $1,000 or an integral multiple thereof. The
Issuer will publicly announce the results of the Change of Control Offer on or
as soon as practicable after the Change of Control Payment Date.
    
 
   
The Indenture provides that the Issuer will fix the Change of Control Payment
Date no earlier than 30 but no more than 60 days after the Change of Control
Offer is mailed as provided above. Before complying with the provisions of the
preceding sentence, but in any event within 60 days following a Change of
Control, the Issuer will either repay all
    
 
                                       17
<PAGE>   21
 
   
outstanding Indebtedness of its Subsidiaries or obtain the requisite consents,
if any, under all agreements governing all such outstanding Indebtedness of its
Subsidiaries to permit the repurchase of the Debentures required by this
covenant. The New Credit Facility and the Senior Subordinated Notes restrict
Thermadyne LLC from paying any dividends or making any other distributions to
the Issuer. If the Issuer does not obtain the consent of the lenders under
agreements governing outstanding Indebtedness of its Subsidiaries, including
under the New Credit Facility and the Senior Subordinated Notes, to permit the
repurchase of the Debentures or does not refinance such Indebtedness, the Issuer
will likely not have the financial resources to purchase Debentures and the
Issuer's Subsidiaries will be restricted by the terms of such Indebtedness from
paying dividends to the Issuer or otherwise lending or distributing funds to the
Issuer for the purpose of such purchase. In any event, there can be no assurance
that the Issuer's Subsidiaries will have the resources available to pay any such
dividend or make any such distribution. The Issuer's failure to make a Change of
Control Offer when required or to purchase tendered Debentures when tendered
would constitute an Event of Default (as hereinafter defined) under the
Indenture. See "Risk Factors."
    
 
   
The Change of Control provisions described above will be applicable whether or
not any other provisions of the Indenture are applicable. Except as described
above with respect to a Change of Control, the Indenture does not contain
provisions that permit the Holders of the Debentures to require that the Issuer
repurchase or redeem the Debentures if a takeover, recapitalization or similar
transaction occurs.
    
 
   
The Issuer will not be required to make a Change of Control Offer upon a Change
of Control if a third party makes the Change of Control Offer in the manner, at
the times and otherwise in compliance with the requirements provided in the
Indenture applicable to a Change of Control Offer made by the Issuer and
purchases all Debentures validly tendered and not withdrawn under such Change of
Control Offer.
    
 
"Change of Control" means the occurrence of any of the following:
 
   
     - the sale, lease, transfer, conveyance or other disposition (other than by
       way of merger or consolidation), in one or a series of related
       transactions, of all or substantially all of the assets of the Issuer and
       its Subsidiaries, taken as a whole, to any "person" or "group," as those
       terms are used in Section 13(d) of the Securities Exchange Act, other
       than the Principals and their Related Parties;
    
 
     - the adoption of a plan for the liquidation or dissolution of the Issuer;
 
   
     - the consummation of any transaction, including any merger or
       consolidation, the result of which is that any "person" or "group," as
       such terms are used in Section 13(d) of the Securities Exchange Act,
       other than the Principals and their Related Parties, becomes the
       "beneficial owner," as such term is defined in Rule 13d-3 and Rule 13d-5
       under the Securities Exchange Act, directly or indirectly through one or
       more intermediaries, of 50% or more of the voting power of the
       outstanding voting stock of the Issuer; or
    
 
   
     - the first day on which a majority of the members of the Board of
       Directors of the Issuer are not Continuing Directors.
    
 
The definition of Change of Control includes a phrase relating to the sale,
lease, transfer, conveyance or other disposition of "all or substantially all"
of the assets of the Issuer and its Subsidiaries taken as a whole. Although
there is a developing body of case law interpreting the phrase "substantially
all," there is no precise established definition of the
 
                                       18
<PAGE>   22
 
   
phrase under applicable law. Accordingly, the ability of a Holder of Debentures
to require the Issuer to repurchase the Debentures as a result of a sale, lease,
transfer, conveyance or other disposition of less than all of the assets of the
Issuer and its Subsidiaries taken as a whole to another Person or group may be
uncertain.
    
 
   
"Continuing Directors" means, as of any date of determination, any member of the
Board of Directors of the Issuer who (a) was a member of the Board of Directors
immediately after consummation of the Merger or (b) was nominated for election
or elected to the Board of Directors with the approval of, or whose election to
the Board of Directors was ratified by, at least a majority of the Continuing
Directors who were members of the Board of Directors at the time of such
nomination or election.
    
 
ASSET SALES
 
   
The Indenture provides that the Issuer will not, and will not permit any of its
Restricted Subsidiaries to, consummate an Asset Sale unless (a) the Issuer or
such Restricted Subsidiary, as the case may be, receives consideration at the
time of the Asset Sale at least equal to the fair market value, evidenced by a
resolution of the Board of Directors provided in an Officers' Certificate
delivered to the Trustee, of the assets or Equity Interests issued or sold or
otherwise disposed of and (b) at least 75% of the consideration therefor
received by the Issuer or such Restricted Subsidiary is in the form of (i) cash
or Cash Equivalents or (ii) property or assets that are used or useful in a
Permitted Business, or the Capital Stock of any Person engaged in a Permitted
Business if, as a result of the acquisition by the Issuer or any Restricted
Subsidiary thereof, such Person becomes a Restricted Subsidiary; provided that
the amount of (x) any liabilities, as shown on the Issuer's or such Restricted
Subsidiary's most recent balance sheet, of the Issuer or any Restricted
Subsidiary (other than contingent liabilities and liabilities that are by their
terms subordinated to the Debentures or any guarantee thereof) that are assumed
by the transferee of any such assets pursuant to a customary novation agreement
that releases the Issuer or such Restricted Subsidiary from further liability,
(y) any securities, notes or other obligations received by the Issuer or any
such Restricted Subsidiary from such transferee that are contemporaneously
(subject to ordinary settlement periods) converted by the Issuer or such
Restricted Subsidiary into cash or Cash Equivalents (to the extent of the cash
or Cash Equivalents received), and (z) any Designated Noncash Consideration
received by the Issuer or any of its Restricted Subsidiaries in such Asset Sale
having an aggregate fair market value, taken together with all other Designated
Noncash Consideration received pursuant to this clause (z) that is at that time
outstanding, not to exceed 15% of Total Assets at the time of the receipt of
such Designated Noncash Consideration (with the fair market value of each item
of Designated Noncash Consideration being measured at the time received and
without giving effect to subsequent changes in value), shall be deemed to be
cash for purposes of this provision; and provided further that the 75%
limitation referred to in clause (b) above will not apply to any Asset Sale in
which the cash or Cash Equivalents portion of the consideration received
therefrom, determined in accordance with the foregoing proviso, is equal to or
greater than what the after-tax proceeds would have been had such Asset Sale
complied with the aforementioned 75% limitation.
    
 
Within 365 days after the receipt of any Net Proceeds from an Asset Sale, the
Issuer or any such Restricted Subsidiary shall apply such Net Proceeds, at its
option, to (a) repay or purchase Pari Passu Indebtedness of the Issuer or any
Indebtedness of any Restricted Subsidiary, provided that, if the Issuer shall so
repay or purchase Pari Passu Indebtedness of the Issuer, it will equally and
ratably reduce Indebtedness under the Debentures if the
 
                                       19
<PAGE>   23
 
   
Debentures are then redeemable, or, if the Debentures may not then be redeemed,
the Issuer shall make an offer, in accordance with the procedures shown below
for an Asset Sale Offer, to all Holders of Debentures to purchase at a purchase
price equal to 100% of the principal amount at maturity of the Debentures (or,
in the case of purchases of Debentures before June 1, 2003, at a purchase price
equal to 100% of the Accreted Value thereof), plus accrued and unpaid interest
and Liquidated Damages, if any, thereon to the date of purchase, the Debentures
that would otherwise be redeemed, or (b) an investment in property, the making
of a capital expenditure or the acquisition of assets that are used or useful in
a Permitted Business, or Capital Stock of any Person primarily engaged in a
Permitted Business if (i) as a result of the acquisition by the Issuer or any
Restricted Subsidiary thereof, such Person becomes a Restricted Subsidiary or
(ii) the Investment in such Capital Stock is permitted by clause (f) of the
definition of Permitted Investments. Pending the final application of any such
Net Proceeds, the Issuer may temporarily reduce Indebtedness or otherwise invest
the Net Proceeds in any manner that is not prohibited by the Indenture. Any Net
Proceeds from Asset Sales that are not applied or invested as provided in the
first sentence of this paragraph will be deemed to constitute "Excess Proceeds."
    
 
   
When the aggregate amount of Excess Proceeds exceeds $15.0 million, the Issuer
will be required to make an offer to all Holders of Debentures (an "Asset Sale
Offer") to purchase the maximum principal amount at maturity of Debentures that
may be purchased out of the Excess Proceeds, at an offer price in cash in an
amount equal to 100% of the principal amount at maturity thereof, plus accrued
and unpaid interest and Liquidated Damages, if any, thereon to the date of
purchase (or, in the case of repurchases of Debentures before June 1, 2003, at a
purchase price equal to 100% of the Accreted Value, plus Liquidated Damages, if
any, thereon as of the date of repurchase), in accordance with the procedures
provided in the Indenture. To the extent that any Excess Proceeds remain after
consummation of an Asset Sale Offer, the Issuer may use such Excess Proceeds for
any purpose not otherwise prohibited by the Indenture. If the aggregate
principal amount at maturity or Accreted Value, as applicable, of Debentures
surrendered by Holders thereof in connection with an Asset Sale Offer exceeds
the amount of Excess Proceeds, the Trustee shall select the Debentures to be
purchased as provided under "--Selection and Notice." Upon completion of the
offer to purchase, the amount of Excess Proceeds shall be reset at zero.
    
 
   
The Issuer will comply with the requirements of Rule 14e-1 under the Securities
Exchange Act and any other securities laws and regulations thereunder to the
extent such laws and regulations are applicable in connection with the
repurchase of the Debentures pursuant to an Asset Sale Offer. To the extent that
the provisions of any securities laws or regulations conflict with the
provisions of the Indenture relating to the Asset Sale Offer, the Issuer will
comply with the applicable securities laws and regulations and shall not be
deemed to have breached its obligations described in the Indenture by virtue
thereof.
    
 
   
The New Credit Facility and the Senior Subordinated Notes restrict Thermadyne
LLC from paying any dividends or making any other distributions to the Issuer.
If the Issuer does not obtain the consent of the lenders under agreements
governing outstanding Indebtedness of its Subsidiaries, including under the New
Credit Facility and the Senior Subordinated Notes, to permit the repurchase of
the Debentures or does not refinance such Indebtedness, the Issuer will likely
not have the financial resources to purchase Debentures and the Issuer's
Subsidiaries will be restricted by the terms of such Indebtedness from paying
dividends to the Issuer or otherwise lending or distributing funds to the Issuer
for the purpose of such purchase. In any event, there can be no assurance that
the Issuer's
    
 
                                       20
<PAGE>   24
 
   
Subsidiaries will have the resources available to pay any dividends or make any
distributions. The Issuer's failure to make an Asset Sale Offer when required or
to purchase tendered Debentures when tendered would constitute an Event of
Default under the Indenture. See "Risk Factors."
    
 
CERTAIN COVENANTS
 
RESTRICTED PAYMENTS
 
The Indenture provides that the Issuer will not, and will not permit any of its
Restricted Subsidiaries to, directly or indirectly,
 
   
     - declare or pay any dividend or make any other payment or distribution on
       account of the Issuer's or any of its Restricted Subsidiaries' Equity
       Interests, other than dividends or distributions payable in Equity
       Interests (other than Disqualified Stock) of the Issuer or dividends or
       distributions payable to the Issuer or any Wholly Owned Restricted
       Subsidiary of the Issuer;
    
 
   
     - purchase, redeem or otherwise acquire or retire for value any Equity
       Interests of the Issuer, any of its Restricted Subsidiaries or any other
       Affiliate of the Issuer, other than any Equity Interests owned by the
       Issuer or any Restricted Subsidiary of the Issuer;
    
 
   
     - make any principal payment on or with respect to, or purchase, redeem,
       defease or otherwise acquire or retire for value, any Indebtedness of the
       Issuer, other than the Debentures, that is pari passu or subordinated in
       right of payment to the Debentures, except in accordance with the
       mandatory redemption or repayment provisions provided in the original
       documentation governing such Indebtedness or in accordance with the
       covenant described under the caption entitled "--Repurchase at the Option
       of Holders--Asset Sales" (but not pursuant to any mandatory offer to
       repurchase upon the occurrence of any event); or
    
 
   
     - make any Restricted Investment.
    
 
   
All such payments and other actions enumerated above are collectively referred
to as "Restricted Payments" unless, at the time of and after giving effect to
such Restricted Payment:
    
 
   
     - no Default or Event of Default shall have occurred and be continuing or
       would occur as a consequence thereof;
    
 
   
     - the Issuer would, immediately after giving pro forma effect thereto as if
       such Restricted Payment had been made at the beginning of the applicable
       four-quarter period, have been permitted to incur at least $1.00 of
       additional Indebtedness pursuant to the Fixed Charge Coverage Ratio test
       provided in the first paragraph of the covenant described under caption
       "--Incurrence of Indebtedness and Issuance of Preferred Stock"; and
    
 
   
     - such Restricted Payment, together with the aggregate amount of all other
       Restricted Payments made by the Issuer and its Restricted Subsidiaries
       after the date of the Indenture (excluding Restricted Payments permitted
       by clauses (a), to the extent that the declaration of any dividend
       referred to therein reduces amounts available for Restricted Payments
       pursuant to this sentence, (b), (c), (e) through (g), (j), and (m)
       through (p) of the next succeeding paragraph), is less than the sum,
       without duplication, of (A) 50% of the Consolidated Net Income of the
    
 
                                       21
<PAGE>   25
 
   
       Issuer for the period (taken as one accounting period) commencing July 1,
       1998 to the end of the Issuer's most recently ended fiscal quarter for
       which internal financial statements are available at the time of such
       Restricted Payment (or, if such Consolidated Net Income for such period
       is a deficit, less 100% of such deficit), plus (B) 100% of the Qualified
       Proceeds received by the Issuer on or after the date of the Indenture
       from contributions to the Issuer's capital or from the issue or sale on
       or after the date of the Indenture of Equity Interests of the Issuer or
       of Disqualified Stock or convertible debt securities of the Issuer to the
       extent that they have been converted into such Equity Interests (other
       than Equity Interests, Disqualified Stock or convertible debt securities
       sold to a Subsidiary of the Issuer and other than Disqualified Stock or
       convertible debt securities that have been converted into Disqualified
       Stock), plus (C) the amount equal to the net reduction in Investments in
       Persons after the date of the Indenture who are not Restricted
       Subsidiaries (other than Permitted Investments) resulting from (x)
       Qualified Proceeds received as a dividend, repayment of a loan or advance
       or other transfer of assets (valued at the fair market value thereof) to
       the Issuer or any Restricted Subsidiary from such Persons, (y) Qualified
       Proceeds received upon the sale or liquidation of such Investment and (z)
       the redesignation of Unrestricted Subsidiaries (other than any
       Unrestricted Subsidiary designated as such pursuant to clause (n) of the
       following paragraph) whose assets are used or useful in, or which is
       engaged in, one or more Permitted Business as Restricted Subsidiaries
       valued (proportionate to the Issuer's equity interest in the Subsidiary),
       at the fair market value of the net assets of the Subsidiary at the time
       of the redesignation.
    
 
The foregoing provisions will not prohibit:
 
   
     (a) the payment of any dividend within 60 days after the date of
     declaration thereof, if at the date of declaration such payment would have
     complied with the provisions of the Indenture;
    
 
   
     (b) (i) the redemption, repurchase, retirement, defeasance or other
     acquisition of any Pari Passu Indebtedness, Subordinated Indebtedness or
     Equity Interests of the Issuer (the "Retired Capital Stock") in exchange
     for, or out of the net cash proceeds of the substantially concurrent sale
     (other than to a Subsidiary of the Issuer) of, other Equity Interests of
     the Issuer, other than any Disqualified Stock (the "Refunding Capital
     Stock"), provided that the amount of any net cash proceeds that are
     utilized for any such redemption, repurchase, retirement, defeasance or
     other acquisition shall be excluded from clause (iii)(B) of the preceding
     paragraph and (ii) if immediately prior to the retirement of Retired
     Capital Stock, the declaration and payment of dividends thereon was
     permitted under clause (f) below, the declaration and payment of dividends
     on the Refunding Capital Stock in an aggregate amount per year no greater
     than the aggregate amount of dividends per annum that was declarable and
     payable on such Retired Capital Stock immediately prior to such retirement;
     provided that, at the time of the declaration of any such dividends, no
     Default or Event of Default shall have occurred and be continuing or would
     occur as a consequence thereof;
    
 
     (c) the defeasance, redemption, repurchase, retirement or other acquisition
     of Pari Passu Indebtedness or Subordinated Indebtedness with the net cash
     proceeds from an incurrence of, or in exchange for, Permitted Refinancing
     Indebtedness;
 
                                       22
<PAGE>   26
 
   
     (d) the repurchase, redemption or other acquisition or retirement for value
     of any Equity Interests of the Issuer or Thermadyne LLC held by any member
     of Thermadyne LLC's or the Issuer's, or any of its Restricted
     Subsidiaries', management pursuant to any management equity subscription
     agreement or stock option agreement, provided that the aggregate price paid
     for all such repurchased, redeemed, acquired or retired Equity Interests
     shall not exceed (x) $7.5 million in any calendar year (with unused amounts
     in any calendar year being carried over to succeeding calendar years
     subject to a maximum, without giving effect to the following clause (y), of
     $15.0 million in any calendar year), plus (y) the aggregate cash proceeds
     received by the Issuer during such calendar year from any reissuance of
     Equity Interests by the Issuer or Thermadyne LLC to members of management
     of the Issuer and its Restricted Subsidiaries and (ii) no Default or Event
     of Default shall have occurred and be continuing immediately after such
     transaction;
    
 
   
     (e) payments and transactions in connection with the Recapitalization, the
     New Credit Facility, including commitment, syndication and arrangement fees
     payable thereunder, and the application of the proceeds thereof, and the
     payment of fees and expenses with respect thereto;
    
 
   
     (f) the declaration and payment of dividends to holders of any class or
     series of preferred stock, other than Disqualified Stock, provided that, at
     the time of such issuance, after giving effect to such issuance on a pro
     forma basis, the Fixed Charge Coverage Ratio for the Issuer for the most
     recently ended four full fiscal quarters for which internal financial
     statements are available immediately preceding the date of such issuance
     would have been no less than 1.5 to 1;
    
 
     (g) the payment of dividends or distributions by a Restricted Subsidiary on
     any class of common stock or membership interests of such Restricted
     Subsidiary if (i) such dividend or distribution is paid pro rata to all
     holders of such class of common stock or membership interests and (ii) at
     least 51% of such class of common stock or membership interests is held by
     the Issuer or one or more of its Restricted Subsidiaries;
 
     (h) the repurchase of any class of common stock or membership interests of
     a Restricted Subsidiary if (i) such repurchase is made pro rata with
     respect to such class of common stock or membership interests and (ii) at
     least 51% of such class of common stock or membership interests is held by
     the Issuer or one or more of its Restricted Subsidiaries;
 
     (i) any other Restricted Investment made in a Permitted Business which,
     together with all other Restricted Investments made pursuant to this clause
     (i) since the date of the Indenture, does not exceed $25.0 million (in each
     case, after giving effect to all subsequent reductions in the amount of any
     Restricted Investment made pursuant to this clause (i), either as a result
     of (A) the repayment or disposition thereof for cash or (B) the
     redesignation of an Unrestricted Subsidiary as a Restricted Subsidiary
     (valued proportionate to the Issuer's equity interest in such Subsidiary at
     the time of such redesignation) at the fair market value of the net assets
     of such Subsidiary at the time of such redesignation), in the case of
     clause (A) and (B), not to exceed the amount of such Restricted Investment
     previously made pursuant to this clause (i); provided that no Default or
     Event of Default shall have occurred and be continuing immediately after
     making such Restricted Investment;
 
                                       23
<PAGE>   27
 
     (j) the declaration and payment of dividends to holders of any class or
     series of Disqualified Stock of the Issuer or any Restricted Subsidiary
     issued on or after the date of the Indenture in accordance with the
     covenant described under the caption "--Incurrence of Indebtedness and
     Issuance of Preferred Stock"; provided that no Default or Event of Default
     shall have occurred and be continuing immediately after making such
     Restricted Payment;
 
     (k) repurchases of Equity Interests deemed to occur upon exercise of stock
     options if such Equity Interests represent a portion of the exercise price
     of such options;
 
   
     (l) the payment of dividends or distributions on the Issuer's common stock
     or Thermadyne LLC's membership interests, following the first public
     offering of the Issuer's common stock or Thermadyne LLC's membership
     interests after the date of the Indenture, of up to 6.0% per annum of the
     net proceeds received by the Issuer or Thermadyne LLC from such public
     offering, other than, in each case, with respect to public offerings with
     respect to the Issuer's common stock or Thermadyne LLC's membership
     interests registered on Form S-8; provided that no Default or Event of
     Default shall have occurred and be continuing immediately after any such
     payment of dividends or distributions;
    
 
     (m) any other Restricted Payment which, together with all other Restricted
     Payments made pursuant to this clause (m) since the date of the Indenture,
     does not exceed $25.0 million (in each case, after giving effect to all
     subsequent reductions in the amount of any Restricted Investment made
     pursuant to this clause (m) either as a result of (i) the repayment or
     disposition thereof for cash or (ii) the redesignation of an Unrestricted
     Subsidiary as a Restricted Subsidiary (valued proportionate to the Issuer's
     equity interest in such Subsidiary at the time of such redesignation) at
     the fair market value of the net assets of such Subsidiary at the time of
     such redesignation), in the case of clause (i) and (ii), not to exceed the
     amount of such Restricted Investment previously made pursuant to this
     clause (m); provided that no Default or Event of Default shall have
     occurred and be continuing immediately after making such Restricted
     Payment;
 
     (n) the pledge by the Issuer of the Capital Stock of an Unrestricted
     Subsidiary of the Issuer to secure Non-Recourse Debt of such Unrestricted
     Subsidiary;
 
     (o) the purchase, redemption or other acquisition or retirement for value
     of any Equity Interests of any Restricted Subsidiary issued after the date
     of the Indenture, provided that the aggregate price paid for any such
     repurchased, redeemed, acquired or retired Equity Interests shall not
     exceed the sum of (i) the amount of cash and Cash Equivalents received by
     such Restricted Subsidiary from the issue or sale thereof and (ii) any
     accrued dividends thereon the payment of which would be permitted pursuant
     to clause (j) above;
 
     (p) distributions or payments of Receivables Fees; and
 
     (q) the purchase, redemption or other acquisition or retirement for value
     of rights issued pursuant to the Issuer's Rights Plan as in effect on the
     date of the Indenture.
 
   
The Board of Directors may designate any Restricted Subsidiary, other than
Thermadyne LLC and Thermadyne Capital, to be an Unrestricted Subsidiary if this
designation would not cause a Default. For purposes of making this designation,
all outstanding Investments by the Issuer and its Restricted Subsidiaries,
except to the extent repaid in cash, in the Subsidiary so designated will be
deemed to be Restricted Payments at the time of the
    
 
                                       24
<PAGE>   28
 
   
designation and will reduce the amount available for Restricted Payments under
the first paragraph of this covenant. All of these outstanding Investments will
be deemed to constitute Restricted Investments in an amount equal to the greater
of (A) the net book value of the Investments at the time of the designation and
(B) the fair market value of the Investments at the time of the designation. The
designation will only be permitted if the Restricted Investment would be
permitted at such time and if the Restricted Subsidiary otherwise meets the
definition of an Unrestricted Subsidiary.
    
 
   
The amount of (A) all Restricted Payments, other than cash, shall be the fair
market value on the date of the Restricted Payment of the asset(s) or securities
proposed to be transferred or issued by the Issuer or the Restricted Subsidiary,
as the case may be, pursuant to the Restricted Payment and (B) Qualified
Proceeds, other than cash, shall be the fair market value on the date of receipt
thereof by the Issuer of the Qualified Proceeds. The fair market value of any
non-cash Restricted Payment shall be determined by the Board of Directors whose
resolution with respect thereto shall be delivered to the Trustee. Not later
than the date of making any Restricted Payment, the Issuer shall deliver to the
Trustee an Officers' Certificate stating that such Restricted Payment is
permitted and setting forth the basis upon which the calculations required by
the covenant "Restricted Payments" were computed.
    
 
INCURRENCE OF INDEBTEDNESS AND ISSUANCE OF PREFERRED STOCK
 
   
The Indenture provides that:
    
 
   
     - the Issuer will not, and will not permit any of its Restricted
       Subsidiaries to, directly or indirectly, create, incur, issue, assume,
       guarantee or otherwise become directly or indirectly liable, contingently
       or otherwise, with respect to (collectively, "incur") any Indebtedness
       (including Acquired Indebtedness);
    
 
   
     - the Issuer will not, and will not permit any of its Restricted
       Subsidiaries to, issue any shares of Disqualified Stock; and
    
 
   
     - the Issuer will not permit any of its Restricted Subsidiaries to issue
       any shares of preferred stock; provided that the Issuer or any Restricted
       Subsidiary may incur Indebtedness (including Acquired Indebtedness) or
       issue shares of Disqualified Stock if the Fixed Charge Coverage Ratio for
       the Issuer's most recently ended four full fiscal quarters for which
       internal financial statements are available immediately preceding the
       date on which such additional Indebtedness is incurred or such
       Disqualified Stock is issued would have been at least 1.5 to 1,
       determined on a consolidated pro forma basis (including a pro forma
       application of the net proceeds therefrom), as if the additional
       Indebtedness had been incurred, or the Disqualified Stock had been
       issued, as the case may be, at the beginning of such four-quarter period.
    
 
The Indenture also provides that the Issuer will not incur any Indebtedness that
is contractually subordinated in right of payment to any other Indebtedness of
the Issuer unless such Indebtedness is also contractually subordinated in right
of payment to the Debentures on substantially identical terms; provided that no
Indebtedness of the Issuer shall be deemed to be contractually subordinated in
right of payment to any other Indebtedness of the Issuer solely by virtue of
being unsecured.
 
The provisions of the first paragraph of this covenant will not apply to the
incurrence of any of the following items of Indebtedness (collectively,
"Permitted Indebtedness"):
 
   
     (a) the incurrence by the Issuer and its Restricted Subsidiaries of
     Indebtedness under the New Credit Facility; provided that the aggregate
     principal amount of all
    
 
                                       25
<PAGE>   29
 
   
     Indebtedness, with letters of credit being deemed to have a principal
     amount equal to the maximum potential liability of the Issuer and such
     Restricted Subsidiaries thereunder, then classified as having been incurred
     in reliance upon this clause (a) that remains outstanding under the New
     Credit Facility after giving effect to such incurrence does not exceed an
     amount equal to $430.0 million;
    
 
   
     (b) the incurrence by the Issuer and its Restricted Subsidiaries of
     Existing Indebtedness;
    
 
   
     (c) the incurrence by (A) the Issuer and the Issuer's Restricted
     Subsidiaries of Indebtedness represented by the Debentures and the
     Indenture and (B) Thermadyne LLC and Thermadyne Capital of Indebtedness
     represented by the Senior Subordinated Notes and the related Indenture;
    
 
   
     (d) the incurrence by the Issuer or any of its Restricted Subsidiaries of
     Indebtedness represented by Capital Expenditure Indebtedness, Capital Lease
     Obligations or purchase money obligations, in each case, incurred for the
     purpose of financing all or any part of the purchase price or cost of
     construction or improvement of property, plant or equipment used in the
     business of the Issuer or such Restricted Subsidiary, in an aggregate
     principal amount (or accreted value, as applicable) not to exceed $40.0
     million outstanding after giving effect to such incurrence;
    
 
   
     (e) Indebtedness arising from agreements of the Issuer or any Restricted
     Subsidiary providing for indemnification, adjustment of purchase price or
     similar obligations, in each case, incurred or assumed in connection with
     the disposition of any business, assets or a Subsidiary, other than
     guarantees of Indebtedness incurred by any Person acquiring all or any
     portion of such business, assets or Restricted Subsidiary for the purpose
     of financing such acquisition; provided that (A) such Indebtedness is not
     reflected on the balance sheet of the Issuer or any Restricted Subsidiary
     (contingent obligations referred to in a footnote or footnotes to financial
     statements and not otherwise reflected on the balance sheet will not be
     deemed to be reflected on such balance sheet for purposes of this clause
     (A)) and (B) the maximum assumable liability in respect of such
     Indebtedness shall at no time exceed the gross proceeds including non-cash
     proceeds, the fair market value of such non-cash proceeds being measured at
     the time received and without giving effect to any subsequent changes in
     value, actually received by the Issuer and/or such Restricted Subsidiary in
     connection with such disposition;
    
 
   
     (f) the incurrence by the Issuer or any of its Restricted Subsidiaries of
     Permitted Refinancing Indebtedness in exchange for, or the net proceeds of
     which are used to refund, refinance or replace Indebtedness, other than
     intercompany Indebtedness, that was permitted by the Indenture to be
     incurred;
    
 
   
     (g) the incurrence by the Issuer or any of its Restricted Subsidiaries of
     intercompany Indebtedness between or among the Issuer and/or any of its
     Restricted Subsidiaries; provided that (i) if the Issuer is the obligor on
     such Indebtedness, such Indebtedness is expressly subordinated to the prior
     payment in full in cash of all Obligations with respect to the Debentures
     and (ii) (A) any subsequent issuance or transfer of Equity Interests that
     results in any such Indebtedness being held by a Person other than the
     Issuer or a Restricted Subsidiary thereof and (B) any sale or other
     transfer of any such Indebtedness to a Person that is not either the Issuer
     or a Restricted Subsidiary thereof shall be deemed, in each case, to
     constitute an incurrence of such
    
 
                                       26
<PAGE>   30
 
   
     Indebtedness by the Issuer or such Restricted Subsidiary, as the case may
     be, that was not permitted by this clause (g);
    
 
   
     (h) the incurrence by the Issuer or any of its Restricted Subsidiaries of
     Hedging Obligations that are incurred for the purpose of fixing or hedging
     (A) interest rate risk with respect to any floating rate Indebtedness that
     is permitted by the terms of this Indenture to be outstanding and (B)
     exchange rate risk with respect to agreements or Indebtedness of such
     Person payable denominated in a currency other than U.S. dollars, provided
     that such agreements do not increase the Indebtedness of the obligor
     outstanding at any time other than as a result of fluctuations in foreign
     currency exchange rates or interest rates or by reason of fees, indemnities
     and compensation payable thereunder;
    
 
   
     (i) the guarantee by the Issuer or any of its Restricted Subsidiaries of
     Indebtedness of the Issuer or a Restricted Subsidiary of the Issuer that
     was permitted to be incurred by another provision of this covenant;
    
 
   
     (j) the incurrence by the Issuer or any of its Restricted Subsidiaries of
     Acquired Indebtedness in an aggregate principal amount (or accreted value,
     as applicable) not to exceed $25.0 million outstanding after giving effect
     to such incurrence;
    
 
   
     (k) obligations in respect of performance and surety bonds and completion
     guarantees provided by the Issuer or any Restricted Subsidiary in the
     ordinary course of business; and
    
 
   
     (l) the incurrence by the Issuer or any of its Restricted Subsidiaries of
     additional Indebtedness in an aggregate principal amount (or accreted
     value, as applicable) outstanding after giving effect to such incurrence,
     including all Permitted Refinancing Indebtedness incurred to refund,
     refinance or replace any Indebtedness incurred pursuant to this clause (l),
     not to exceed $50.0 million.
    
 
   
For purposes of determining compliance with this covenant, if an item of
Indebtedness meets the criteria of more than one of the categories of Permitted
Indebtedness described in clauses (a) through (l) above or is entitled to be
incurred pursuant to the first paragraph of this covenant, the Issuer shall, in
its sole discretion, classify such item of Indebtedness in any manner that
complies with this covenant and such item of Indebtedness will be treated as
having been incurred pursuant to only one of such clauses or pursuant to the
first paragraph hereof. In addition, the Issuer may, at any time, change the
classification of an item of Indebtedness (or any portion thereof) to any other
clause or to the first paragraph hereof, provided that the Issuer would be
permitted to incur such item of Indebtedness (or such portion thereof) pursuant
to such other clause or the first paragraph hereof, as the case may be, at such
time of reclassification. Accrual of interest, accretion or amortization of
original issue discount will not be deemed to be an incurrence of Indebtedness
for purposes of this covenant.
    
 
   
All Indebtedness under the New Credit Facility outstanding on the date on which
Debentures are first issued and authenticated under the Indenture shall be
deemed to have been incurred on such date in reliance on the first paragraph of
the covenant described under the caption "--Certain Covenants--Incurrence of
Indebtedness and Issuance of Preferred Stock." As a result, the Issuer will be
permitted to incur significant additional secured indebtedness under clause (a)
of the definition of "Permitted Indebtedness." See "Risk Factors."
    
 
                                       27
<PAGE>   31
 
LIENS
 
The Indenture provides that the Issuer will not, and will not permit any of its
Restricted Subsidiaries to, directly or indirectly, create, incur, assume or
suffer to exist any Lien, other than a Permitted Lien, that secures obligations
under any Pari Passu Indebtedness or Subordinated Indebtedness of the Issuer on
any asset or property now owned or hereafter acquired by the Issuer or any of
its Restricted Subsidiaries, or any income or profits therefrom or assign or
convey any right to receive income therefrom, unless the Debentures are equally
and ratably secured with the obligations so secured until such time as such
obligations are no longer secured by a Lien.
 
DIVIDEND AND OTHER PAYMENT RESTRICTIONS AFFECTING RESTRICTED SUBSIDIARIES
 
   
The Indenture provides that the Issuer will not, and will not permit any of its
Restricted Subsidiaries to, directly or indirectly, create or otherwise cause or
suffer to exist or become effective any encumbrance or restriction on the
ability of any Restricted Subsidiary to:
    
 
   
     - (i) pay dividends or make any other distributions to the Issuer or any of
       its Restricted Subsidiaries (A) on its Capital Stock or (B) with respect
       to any other interest or participation in, or measured by, its profits,
       or (ii) pay any Indebtedness owed to the Issuer or any of its Restricted
       Subsidiaries;
    
 
   
     - make loans or advances to the Issuer or any of its Restricted
       Subsidiaries; or
    
 
   
     - transfer any of its properties or assets to the Issuer or any of its
       Restricted Subsidiaries.
    
 
   
However, the foregoing restrictions will not apply to encumbrances or
restrictions existing under or by reason of:
    
 
   
     - Existing Indebtedness as in effect on the date of the Indenture;
    
 
   
     - the terms of any Indebtedness permitted by the Indenture to be incurred
       by any Restricted Subsidiary of the Issuer;
    
 
   
     - the Indenture and the Debentures;
    
 
   
     - applicable law and any applicable rule, regulation or order;
    
 
   
     - any agreement or instrument of a Person acquired by the Issuer or any of
       its Restricted Subsidiaries as in effect at the time of such acquisition
       (except to the extent created in contemplation of such acquisition),
       which encumbrance or restriction is not applicable to any Person, or the
       properties or assets of any Person, other than the Person, or the
       property or assets of the Person, so acquired, provided that, in the case
       of Indebtedness, such Indebtedness was permitted by the terms of the
       Indenture to be incurred;
    
 
   
     - customary non-assignment provisions in leases entered into in the
       ordinary course of business and consistent with past practices;
    
 
   
     - purchase money obligations for property acquired in the ordinary course
       of business that impose restrictions of the nature described in the
       second clause above on the property so acquired;
    
 
   
     - contracts for the sale of assets, including, without limitation,
       customary restrictions with respect to a Subsidiary pursuant to an
       agreement that has been entered into for the sale or disposition of all
       or substantially all of the Capital Stock or assets of such Subsidiary;
    
 
                                       28
<PAGE>   32
 
   
     - Permitted Refinancing Indebtedness, provided that the restrictions
       contained in the agreements governing such Permitted Refinancing
       Indebtedness are, in the good faith judgment of the Issuer's Board of
       Directors, not materially less favorable, taken as a whole, to the
       Holders of the Debentures than those contained in the agreements
       governing the Indebtedness being refinanced;
    
 
   
     - secured Indebtedness otherwise permitted to be incurred pursuant to the
       covenants described under "--Incurrence of Indebtedness and Issuance of
       Preferred Stock" and "--Liens" that limit the right of the debtor to
       dispose of the assets securing such Indebtedness;
    
 
   
     - restrictions on cash or other deposits or net worth imposed by customers
       under contracts entered into in the ordinary course of business;
    
 
   
     - other Indebtedness or Disqualified Stock of Restricted Subsidiaries
       permitted to be incurred subsequent to the date of issuance of the
       Debentures pursuant to the provisions of the covenant described under
       "--Incurrence of Indebtedness and Issuance of Preferred Stock";
    
 
   
     - customary provisions in joint venture agreements and other similar
       agreements entered into in the ordinary course of business; and
    
 
   
     - restrictions created in connection with any Receivables Facility that, in
       the good faith determination of the Board of Directors of the Issuer, are
       necessary or advisable to effect such Receivables Facility.
    
 
The New Credit Facility and the Senior Subordinated Notes restrict Thermadyne
LLC from paying any dividends or making any other distributions to the Issuer.
The existence of such restrictions could have an adverse effect on the Issuer's
ability to pay interest and principal on the Debentures. See "Risk Factors."
 
MERGER, CONSOLIDATION, OR SALE OF ASSETS
 
   
The Indenture provides that the Issuer may not consolidate or merge with or
into, whether or not the Issuer is the surviving corporation, or sell, assign,
transfer, convey or otherwise dispose of all or substantially all of its
properties or assets in one or more related transactions, to another Person
unless:
    
 
   
     - the Issuer is the surviving corporation or the Person formed by or
       surviving any such consolidation or merger, if other than the Issuer, or
       to which such sale, assignment, transfer, conveyance or other disposition
       shall have been made is a corporation organized or existing under the
       laws of the United States, any state thereof or the District of Columbia;
    
 
   
     - the Person formed by or surviving any such consolidation or merger, if
       other than the Issuer, or the Person to which such sale, assignment,
       transfer, conveyance or other disposition shall have been made assumes
       all the obligations of the Issuer under the Registration Rights
       Agreement, the Debentures and the Indenture pursuant to a supplemental
       indenture in a form reasonably satisfactory to the Trustee;
    
 
   
     - immediately after such transaction no Default or Event of Default exists;
       and
    
 
   
     - the Issuer or the Person formed by or surviving any such consolidation or
       merger, if other than the Issuer, or to which such sale, assignment,
       transfer, conveyance or other disposition shall have been made (a) will,
       at the time of such transaction and
    
 
                                       29
<PAGE>   33
 
   
       after giving pro forma effect thereto as if such transaction had occurred
       at the beginning of the applicable four-quarter period, be permitted to
       incur at least $1.00 of additional Indebtedness pursuant to the Fixed
       Charge Coverage Ratio test provided in the first paragraph of the
       covenant described under the caption "--Incurrence of Indebtedness and
       Issuance of Preferred Stock" or (b) would (together with its Restricted
       Subsidiaries) have a higher Fixed Charge Coverage Ratio immediately after
       such transaction (after giving pro forma effect thereto as if such
       transaction had occurred at the beginning of the applicable four-quarter
       period) than the Fixed Charge Coverage Ratio of the Issuer and its
       Restricted Subsidiaries immediately before such transaction.
    
 
   
The foregoing clause will not prohibit:
    
 
   
     - a merger between the Issuer and an Affiliate of the Issuer created for
       the purpose of holding the Capital Stock of the Issuer;
    
 
   
     - a merger between the Issuer and a Wholly Owned Restricted Subsidiary; or
    
 
   
     - a merger between the Issuer and an Affiliate incorporated solely for the
       purpose of reincorporating the Issuer in another State of the United
       States so long as, in each case, the amount of Indebtedness of the Issuer
       and its Restricted Subsidiaries is not increased thereby.
    
 
   
The Indenture also provides that the Issuer shall not lease all or substantially
all of its assets to any Person.
    
 
TRANSACTIONS WITH AFFILIATES
 
   
The Indenture provides that the Issuer will not, and will not permit any of its
Restricted Subsidiaries to, make any payment to, or sell, lease, transfer or
otherwise dispose of any of its properties or assets to, or purchase any
property or assets from, or enter into or make or amend any transaction,
contract, agreement, understanding, loan, advance or guarantee with, or for the
benefit of, any Affiliate of the Issuer (each of the foregoing, an "Affiliate
Transaction"), unless:
    
 
   
     (a) such Affiliate Transaction is on terms that are no less favorable to
     the Issuer or such Restricted Subsidiary than those that would have been
     obtained in a comparable transaction by the Issuer or such Restricted
     Subsidiary with an unrelated Person and
    
 
   
     (b) the Issuer delivers to the Trustee, with respect to any Affiliate
     Transaction or series of related Affiliate Transactions involving aggregate
     consideration in excess of $7.5 million, either (i) a resolution of the
     Board of Directors provided in an Officers' Certificate certifying that
     such Affiliate Transaction complies with clause (a) above and that such
     Affiliate Transaction has been approved by a majority of the disinterested
     members of the Board of Directors or (ii) an opinion as to the fairness to
     the Holders of such Affiliate Transaction from a financial point of view
     issued by an accounting, appraisal or investment banking firm of national
     standing.
    
 
Notwithstanding the foregoing, the following items shall not be deemed to be
Affiliate Transactions:
 
   
     - customary directors' fees, indemnification or similar arrangements or any
       employment agreement or other compensation plan or arrangement entered
       into by the Issuer or any of its Restricted Subsidiaries in the ordinary
       course of business
    
 
                                       30
<PAGE>   34
 
   
       (including ordinary course loans to employees not to exceed (a) $5.0
       million outstanding in the aggregate at any time and (b) $2.0 million to
       any one employee) and consistent with the past practice of the Issuer or
       such Restricted Subsidiary;
    
 
   
     - transactions between or among the Issuer and/or its Restricted
       Subsidiaries;
    
 
   
     - payments of customary fees by the Issuer or any of its Restricted
       Subsidiaries to DLJMB and its Affiliates made for any financial advisory,
       financing, underwriting or placement services or in respect of other
       investment banking activities, including, without limitation, in
       connection with acquisitions or divestitures which are approved by a
       majority of the Board of Directors in good faith;
    
 
   
     - any agreement as in effect on the date of the Indenture or any amendment
       thereto (so long as such amendment is not disadvantageous to the Holders
       of the Debentures in any material respect) or any transaction
       contemplated thereby;
    
 
   
     - payments and transactions in connection with the Merger, the New Credit
       Facility (including commitment, syndication and arrangement fees payable
       thereunder) and the Original Offerings (including underwriting discounts
       and commissions in connection therewith) and the application of the
       proceeds thereof, and the payment of the fees and expenses with respect
       thereto;
    
 
   
     - Restricted Payments that are permitted by the provisions of the Indenture
       described under the caption "--Restricted Payments";
    
 
   
     - sales of accounts receivable, or participations therein, in connection
       with any Receivables Facility; and
    
 
   
     - transactions pursuant to the Management Loans.
    
 
SALE AND LEASEBACK TRANSACTIONS
 
   
The Indenture provides that the Issuer will not, and will not permit any of its
Restricted Subsidiaries to, enter into any sale and leaseback transaction;
provided that the Issuer or any Restricted Subsidiary may enter into a sale and
leaseback transaction if:
    
 
   
     - the Issuer or such Restricted Subsidiary, as the case may be, could have
       (a) incurred Indebtedness in an amount equal to the Attributable
       Indebtedness relating to such sale and leaseback transaction pursuant to
       the Fixed Charge Coverage Ratio test shown in the first paragraph of the
       covenant described under the caption "--Incurrence of Indebtedness and
       Issuance of Preferred Stock" and (b) incurred a Lien to secure such
       Indebtedness pursuant to the covenant described under the caption
       "--Liens;"
    
 
   
     - the gross cash proceeds of such sale and leaseback transaction are at
       least equal to the fair market value (as determined in good faith by the
       Board of Directors and provided in an Officers' Certificate delivered to
       the Trustee) of the property that is the subject of such sale and
       leaseback transaction; and
    
 
   
     - the transfer of assets in such sale and leaseback transaction is
       permitted by, and the Issuer applies the proceeds of such transaction in
       compliance with, the covenant described under the caption "Repurchase at
       the Option of Holders--Asset Sales."
    
 
ACCOUNTS RECEIVABLE FACILITY
 
The Indenture provides that no Accounts Receivable Subsidiary will incur any
Indebtedness if immediately after giving effect to such incurrence the aggregate
outstanding
 
                                       31
<PAGE>   35
 
   
Indebtedness of all Accounts Receivable Subsidiaries, excluding any Indebtedness
owed to the Issuer or any Restricted Subsidiary, would exceed $60.0 million.
    
 
REPORTS
 
   
The Indenture provides that, whether or not required by the rules and
regulations of the SEC, so long as any Debentures are outstanding, the Issuer
will furnish to the Holders of Debentures
    
 
   
     - all quarterly and annual financial information that would be required to
       be contained in a filing with the SEC on Forms 10-Q and 10-K if the
       Issuer were required to file such Forms, including a "Management's
       Discussion and Analysis of Financial Condition and Results of Operations"
       and, with respect to the annual information only, a report thereon by the
       Issuer's certified independent accountants and
    
 
   
     - all current reports that would be required to be filed with the SEC on
       Form 8-K if the Issuer were required to file such reports, in each case,
       within the time periods specified in the SEC's rules and regulations. In
       addition, whether or not required by the rules and regulations of the
       SEC, the Issuer will file a copy of all such information and reports with
       the SEC for public availability within the time periods specified in the
       SEC's rules and regulations (unless the SEC will not accept such a
       filing) and make such information available to securities analysts and
       prospective investors upon request. In addition, the Issuer has agreed
       that, for so long as any Debentures remain outstanding, it will furnish
       to the Holders and to securities analysts and prospective investors, upon
       their request, the information required to be delivered pursuant to Rule
       144A(d)(4) under the Securities Act.
    
 
EVENTS OF DEFAULT AND REMEDIES
 
The Indenture provides that each of the following constitutes an Event of
Default:
 
   
     (a) default for 30 days in the payment when due of interest on, or
     Liquidated Damages with respect to, the Debentures;
    
 
   
     (b) default in payment when due of the principal of or premium, if any, on
     the Debentures at maturity, upon redemption or otherwise;
    
 
   
     (c) failure by the Issuer or any of its Restricted Subsidiaries for 30 days
     after receipt of notice from the Trustee or Holders of at least 25% in
     principal amount at maturity of the Debentures then outstanding to comply
     with the provisions described under the captions "Repurchase at the Option
     of Holders--Change of Control," "--Asset Sales," "Certain
     Covenants--Restricted Payments," "--Incurrence of Indebtedness and Issuance
     of Preferred Stock" or "Merger, Consolidation or Sale of Assets";
    
 
   
     (d) failure by the Issuer for 60 days after notice from the Trustee or the
     Holders of at least 25% in principal amount at maturity of the Debentures
     then outstanding to comply with any of its other agreements in the
     Indenture or the Debentures;
    
 
   
     (e) default under any mortgage, indenture or instrument under which there
     may be issued or by which there may be secured or evidenced any
     Indebtedness for money borrowed by the Issuer or any of its Restricted
     Subsidiaries (or the payment of which is guaranteed by the Issuer or any of
     its Restricted Subsidiaries), whether such Indebtedness or guarantee now
     exists, or is created after the date of the Indenture, which default (a) is
     caused by a failure to pay Indebtedness at its stated final
    
 
                                       32
<PAGE>   36
 
   
     maturity (after giving effect to any applicable grace period provided in
     such Indebtedness) (a "Payment Default") or (b) results in the acceleration
     of such Indebtedness before its stated final maturity and, in each case,
     the principal amount of any such Indebtedness, together with the principal
     amount of any other such Indebtedness under which there has been a Payment
     Default or the maturity of which has been so accelerated, aggregates $10.0
     million or more;
    
 
   
     (f) failure by the Issuer or any of its Restricted Subsidiaries to pay
     final judgments aggregating in excess of $10.0 million, net of any amounts
     with respect to which a reputable and creditworthy insurance Company has
     acknowledged liability in writing, which judgments are not paid, discharged
     or stayed for a period of 60 days; and
    
 
   
     (g) certain events of bankruptcy or insolvency with respect to the Issuer
     or any of its Restricted Subsidiaries that is a Significant Subsidiary.
    
 
   
If any Event of Default occurs and is continuing, the Trustee or the Holders of
at least 25% in principal amount at maturity of the then outstanding Debentures
may declare all the Debentures to be due and payable immediately; provided that,
so long as any Indebtedness permitted to be incurred pursuant to the New Credit
Facility shall be outstanding, such acceleration shall not be effective until
the earlier of:
    
 
   
     - an acceleration of any such Indebtedness under the New Credit Facility or
    
 
   
     - five business days after receipt by the Issuer and the administrative
       agent under the New Credit Facility of written notice of the
       acceleration.
    
 
   
Notwithstanding the foregoing, in the case of an Event of Default arising from
certain events of bankruptcy or insolvency with respect to the Issuer or any
Significant Subsidiary, all outstanding Debentures will become due and payable
without further action or notice. Upon any acceleration of maturity of the
Debentures, all principal of and accrued interest on (if on or after June 1,
2003) or Accreted Value of (if before June 1, 2003) the Debentures shall be due
and payable immediately. Holders of the Debentures may not enforce the Indenture
or the Debentures except as provided in the Indenture. In the event of a
declaration of acceleration of the Debentures because an Event of Default has
occurred and is continuing as a result of the acceleration of any Indebtedness
described in clause (e) of the second preceding paragraph, the declaration of
acceleration of the Debentures shall be automatically annulled if the holders of
any Indebtedness described in such clause (e) have rescinded the declaration of
acceleration in respect of such Indebtedness within 30 days of the date of such
declaration and if (a) the annulment of the acceleration of the Debentures would
not conflict with any judgment or decree of a court of competent jurisdiction
and (b) all existing Events of Default, except non-payment of principal or
interest on the Debentures that became due solely because of the acceleration of
the Debentures, have been cured or waived.
    
 
Subject to certain limitations, Holders of a majority in principal amount at
maturity of the then outstanding Debentures may direct the Trustee in its
exercise of any trust or power. The Trustee may withhold from Holders of the
Debentures notice of any continuing Default or Event of Default (except a
Default or Event of Default relating to the payment of principal or interest) if
it determines that withholding notice is in their interest.
 
The Holders of a majority in aggregate principal amount at maturity of the
Debentures then outstanding by notice to the Trustee may on behalf of the
Holders of all of the Debentures waive any existing Default or Event of Default
and its consequences under the Indenture except a continuing Default or Event of
Default in the payment of interest on, or the principal of, the Debentures.
 
                                       33
<PAGE>   37
 
The Issuer is required to deliver to the Trustee annually a statement regarding
compliance with the Indenture, and the Issuer is required upon becoming aware of
any Default or Event of Default to deliver to the Trustee a statement specifying
such Default or Event of Default.
 
NO PERSONAL LIABILITY OF DIRECTORS, OFFICERS, EMPLOYEES AND STOCKHOLDERS
 
   
No director, officer, employee, incorporator or stockholder of the Issuer, as
such, shall have any liability for any obligations of the Issuer under the
Debentures or the Indenture or for any claim based on, in respect of, or by
reason of, such obligations or their creation. Each Holder of Debentures by
accepting a Debenture waives and releases all such liability. The waiver and
release are part of the consideration for issuance of the Debentures. Such
waiver may not be effective to waive liabilities under the federal securities
laws, and it is the view of the SEC that such a waiver is against public policy.
    
 
LEGAL DEFEASANCE AND COVENANT DEFEASANCE
 
The Issuer may, at its option and at any time, elect to have all of its
obligations discharged with respect to the outstanding Debentures ("Legal
Defeasance") except for:
 
   
     - the rights of Holders of outstanding Debentures to receive payments in
       respect of the principal of, premium, if any, and interest and Liquidated
       Damages, if any, on such Debentures when such payments are due from the
       trust referred to below;
    
 
   
     - the Issuer's obligations with respect to the Debentures concerning
       issuing temporary Debentures, registration of Debentures, mutilated,
       destroyed, lost or stolen Debentures and the maintenance of an office or
       agency for payment and money for security payments held in trust;
    
 
   
     - the rights, powers, trusts, duties and immunities of the Trustee, and the
       Issuer's obligations in connection therewith; and
    
 
     - the Legal Defeasance provisions of the Indenture.
 
   
In addition, the Issuer may, at its option and at any time, elect to have the
obligations of the Issuer released with respect to certain covenants that are
described in the Indenture ("Covenant Defeasance") and thereafter any omission
to comply with such obligations shall not constitute a Default or Event of
Default with respect to the Debentures. In the event Covenant Defeasance occurs,
certain events, not including non-payment, bankruptcy, receivership,
rehabilitation and insolvency events, described under "Events of Default and
Remedies" will no longer constitute an Event of Default with respect to the
Debentures.
    
 
In order to exercise either Legal Defeasance or Covenant Defeasance,
 
     - the Issuer must irrevocably deposit with the Trustee, in trust, for the
       benefit of the Holders of the Debentures, cash in U.S. dollars,
       non-callable Government Securities, or a combination thereof, in such
       amounts as will be sufficient, in the opinion of a nationally recognized
       firm of independent public accountants, to pay the principal of, premium,
       if any, and interest and Liquidated Damages, if any, on the outstanding
       Debentures on the stated maturity or on the applicable redemption date,
       as the case may be, and the Issuer must specify whether the Debentures
       are being defeased to maturity or to a particular redemption date;
 
                                       34
<PAGE>   38
 
     - in the case of Legal Defeasance, the Issuer shall have delivered to the
       Trustee an opinion of counsel in the United States reasonably acceptable
       to the Trustee confirming that (i) the Issuer has received from, or there
       has been published by, the Internal Revenue Service a ruling or (ii)
       since the date of the Indenture, there has been a change in the
       applicable federal income tax law, in either case to the effect that, and
       based thereon such opinion of counsel shall confirm that, subject to
       customary assumptions and exclusions, the Holders of the outstanding
       Debentures will not recognize income, gain or loss for federal income tax
       purposes as a result of such Legal Defeasance and will be subject to
       federal income tax on the same amounts, in the same manner and at the
       same times as would have been the case if such Legal Defeasance had not
       occurred;
 
     - in the case of Covenant Defeasance, the Issuer shall have delivered to
       the Trustee an opinion of counsel in the United States reasonably
       acceptable to the Trustee confirming that, subject to customary
       assumptions and exclusions, the Holders of the outstanding Debentures
       will not recognize income, gain or loss for federal income tax purposes
       as a result of such Covenant Defeasance and will be subject to federal
       income tax on the same amounts, in the same manner and at the same times
       as would have been the case if such Covenant Defeasance had not occurred;
 
   
     - no Default or Event of Default shall have occurred and be continuing on
       the date of such deposit, other than a Default or Event of Default
       resulting from the borrowing of funds to be applied to such deposit or,
       insofar as Events of Default from bankruptcy or insolvency events are
       concerned, at any time in the period ending on the 123rd day after the
       date of deposit;
    
 
   
     - such Legal Defeasance or Covenant Defeasance will not result in a breach
       or violation of, or constitute a default under, any material agreement or
       instrument, other than the Indenture, to which the Issuer or any of its
       Subsidiaries is a party or by which the Issuer or any of its Subsidiaries
       is bound;
    
 
     - the Issuer must have delivered to the Trustee an opinion of counsel to
       the effect that, subject to customary assumptions and exclusions, after
       the 123rd day following the deposit, the trust funds will not be subject
       to the effect of Section 547 of the United States Bankruptcy Code or any
       analogous New York State law provision or any other applicable federal or
       New York bankruptcy, insolvency, reorganization or similar laws affecting
       creditors' rights generally;
 
     - the Issuer must deliver to the Trustee an Officers' Certificate stating
       that the deposit was not made by the Issuer with the intent of preferring
       the Holders of Debentures over the other creditors of the Issuer with the
       intent of defeating, hindering, delaying or defrauding creditors of the
       Issuer or others; and
 
   
     - the Issuer must deliver to the Trustee an Officers' Certificate and an
       opinion of counsel, which opinion may be subject to customary assumptions
       and exclusions, each stating that all conditions precedent provided for
       relating to the Legal Defeasance or the Covenant Defeasance have been
       complied with.
    
 
TRANSFER AND EXCHANGE
 
   
A Holder may transfer or exchange Debentures in accordance with the Indenture.
The Registrar and the Trustee may require a Holder, among other things, to
furnish appropriate endorsements and transfer documents and the Issuer may
require a Holder to pay any taxes and fees required by law or permitted by the
Indenture. The Issuer is not required to transfer or exchange any Debenture
selected for redemption. Also, the Issuer is not
    
 
                                       35
<PAGE>   39
 
   
required to transfer or exchange any Debenture for a period of 15 days before a
selection of Debentures to be redeemed. The registered Holder of a Debenture
will be treated as the owner of it for all purposes.
    
 
AMENDMENT, SUPPLEMENT AND WAIVER
 
   
Except as provided in the next two succeeding paragraphs, the Indenture and the
Debentures may be amended or supplemented with the consent of the Holders of at
least a majority in principal amount at maturity of the Debentures then
outstanding (including consents obtained in connection with a purchase of, or
tender offer or exchange offer for, Debentures), and any existing default or
compliance with any provision of the Indenture or the Debentures may be waived
with the consent of the Holders of a majority in principal amount at maturity of
the then outstanding Debentures, including consents obtained in connection with
a purchase of, or tender offer or exchange offer for, Debentures.
    
 
   
Without the consent of each Holder affected, an amendment or waiver may not,
with respect to any Debentures held by a non-consenting Holder:
    
 
   
     - reduce the principal amount at maturity of Debentures whose Holders must
       consent to an amendment, supplement or waiver;
    
 
   
     - reduce the principal of or change the fixed maturity of any Debenture or
       alter the provisions with respect to the redemption of the Debentures,
       other than the provisions described under the caption "--Repurchase at
       the Option of Holders", or amend or modify the calculation of the
       Accreted Value so as to reduce the amount of the Accreted Value of the
       Debentures;
    
 
   
     - reduce the rate of or change the time for payment of interest on any
       Debenture;
    
 
   
     - waive a Default or Event of Default in the payment of principal of or
       premium, if any, or interest or Liquidated Damages, if any, on the
       Debentures, except a rescission of acceleration of the Debentures by the
       Holders of at least a majority in aggregate principal amount at maturity
       of the Debentures and a waiver of the payment default that resulted from
       such acceleration;
    
 
   
     - make any Debenture payable in money other than that stated in the
       Debentures;
    
 
   
     - make any change in the provisions of the Indenture relating to waivers of
       past Defaults;
    
 
   
     - waive a redemption payment with respect to any Debenture, other than the
       provisions described under the caption "--Repurchase at the Option of
       Holders";
    
 
   
     - make any change in the foregoing amendment and waiver provisions;
    
 
   
     - modify any provision of the Indenture with respect to the priority of the
       Debentures in right of payment; or
    
 
     - make any change to the right of Holders to waive an existing Default or
       Event of Default or the right of Holders to receive payments of
       principal, premium, if any, and interest and Liquidated Damages, if any,
       on the Debentures.
 
Notwithstanding the foregoing, any amendment to or waiver of the covenant
described under the caption "--Repurchase at the Option of Holders--Change of
Control" will require the consent of the Holders of at least two-thirds in
aggregate principal amount at maturity of the Debentures then outstanding if
such amendment would materially adversely affect the rights of Holders of
Debentures. Notwithstanding the foregoing,
 
                                       36
<PAGE>   40
 
   
without the consent of any Holder of Debentures, the Issuer and the Trustee may
amend or supplement the Indenture or the Debentures to cure any ambiguity,
defect or inconsistency, to provide for uncertificated Debentures in addition to
or in place of certificated Debentures, to provide for the assumption of the
Issuer's obligations to Holders of Debentures in the case of a merger or
consolidation or sale of all or substantially all of the Issuer's assets, to
make any change that would provide any additional rights or benefits to the
Holders of Debentures or that does not materially adversely affect the legal
rights under the Indenture of any such Holder, or to comply with requirements of
the SEC in order to effect or maintain the qualification of the Indenture under
the Trust Indenture Act or to provide for guarantees of the Debentures.
    
 
CONCERNING THE TRUSTEE
 
   
The Indenture contains certain limitations on the rights of the Trustee, should
it become a creditor of the Issuer, to obtain payment of claims in certain
cases, or to realize on certain property received in respect of any such claim
as security or otherwise. The Trustee will be permitted to engage in other
transactions; however, if it acquires any conflicting interest it must eliminate
such conflict within 90 days, apply to the SEC for permission to continue or
resign.
    
 
   
The Holders of a majority in principal amount at maturity of the then
outstanding Debentures will have the right to direct the time, method and place
of conducting any proceeding for exercising any remedy available to the Trustee,
subject to certain exceptions. The Indenture provides that in case an Event of
Default shall occur, which shall not be cured, the Trustee will be required, in
the exercise of its power, to use the degree of care of a prudent man in the
conduct of his own affairs. Subject to such provisions, the Trustee will be
under no obligation to exercise any of its rights or powers under the Indenture
at the request of any Holder of Debentures, unless such Holder shall have
offered to the Trustee security and indemnity satisfactory to it against any
loss, liability or expense.
    
 
CERTAIN DEFINITIONS
 
Set forth below are certain defined terms used in the Indenture. Reference is
made to the Indenture for a full disclosure of all such terms, as well as any
other capitalized terms used herein for which no definition is provided.
 
"Accounts Receivable Subsidiary" means an Unrestricted Subsidiary of the Issuer
or any of its Restricted Subsidiaries to which the Issuer or any of its
Restricted Subsidiaries sells any of its accounts receivable pursuant to a
Receivables Facility.
 
   
"Accreted Value" means, as of any date of determination before June 1, 2003,
with respect to any Debenture, the sum of
    
 
   
     - the initial offering price (which shall be calculated by discounting the
       aggregate principal amount at maturity of such Debenture at a rate of
       12 1/2% per year, compounded semi-annually on each June 1 and December 1
       from June 1, 2003 to the date of issuance) of such Debenture and
    
 
   
     - the portion of the excess of the principal amount at maturity of such
       Debenture over such initial offering price which shall have been accreted
       thereon through such date, such amount to be so accreted on a daily basis
       at a rate of 12 1/2% per year of the initial offering price of such
       Debenture, compounded semi-annually on each December 1 and June 1 from
       the date of issuance of the Debentures through the
    
 
                                       37
<PAGE>   41
 
       date of determination, computed on the basis of a 360-day year of twelve
       30-day months.
 
"Acquired Indebtedness" means, with respect to any specified Person,
 
   
     - Indebtedness of any other Person existing at the time such other Person
       is merged with or into or became a Subsidiary of such specified Person,
       including Indebtedness incurred in connection with, or in contemplation
       of, such other Person merging with or into or becoming a Subsidiary of
       such specified Person, and
    
 
   
     - Indebtedness secured by a Lien encumbering an asset acquired by such
       specified Person at the time the asset is acquired by such specified
       Person.
    
 
"Acquisition" means the acquisition of the Issuer by the Principals.
 
   
"Additional Debentures" means additional Debentures issued under the Indenture
in accordance with Sections 2.02 and 4.09 thereof.
    
 
"Affiliate" of any specified Person means any other Person which, directly or
indirectly, controls, is controlled by or is under direct or indirect common
control with, such specified Person. For purposes of this definition, "control,"
when used with respect to any Person, means the power to direct the management
and policies of such Person, directly or indirectly, whether through the
ownership of voting securities, by contract or otherwise, and the terms
"controlling" and "controlled" have meanings correlative to the foregoing.
 
"Asset Sale" means
 
   
     - the sale, lease, conveyance, disposition or other transfer (a
       "disposition") of any properties, assets or rights (including by way of a
       sale and leaseback), provided that the sale, lease, conveyance or other
       disposition of all or substantially all of the assets of the Issuer and
       its Subsidiaries taken as a whole will be governed by the provisions of
       the Indenture described under the caption "--Change of Control" and/or
       the provisions described under the caption "--Merger, Consolidation or
       Sale of Assets" and not by the provisions of the Asset Sale covenant, and
    
 
   
     - the issuance, sale or transfer by the Issuer or any of its Restricted
       Subsidiaries of Equity Interests of any of the Issuer's Restricted
       Subsidiaries, in the case of either this clause or the immediately
       preceding clause, whether in a single transaction or a series of related
       transactions (a) that have a fair market value in excess of $5.0 million
       or (b) for net proceeds in excess of $5.0 million.
    
 
Notwithstanding the foregoing, the following items shall not be deemed to be
Asset Sales:
 
   
     - dispositions in the ordinary course of business;
    
 
   
     - a disposition of assets by the Issuer to a Restricted Subsidiary or by a
       Restricted Subsidiary to the Issuer or to another Restricted Subsidiary;
    
 
   
     - a disposition of Equity Interests by a Restricted Subsidiary to the
       Issuer or to another Restricted Subsidiary;
    
 
   
     - the sale and leaseback of any assets within 90 days of the acquisition
       thereof;
    
 
   
     - foreclosures on assets;
    
 
   
     - any exchange of like property pursuant to Section 1031 of the Internal
       Revenue Code of 1986, as amended, for use in a Permitted Business;
    
 
   
     - any sale of Equity Interests in, or Indebtedness or other securities of,
       an Unrestricted Subsidiary;
    
 
                                       38
<PAGE>   42
 
   
     - a Permitted Investment or a Restricted Payment that is permitted by the
       covenant described under the caption "--Restricted Payments"; and
    
 
   
     - sales of accounts receivable, or participations therein, in connection
       with any Receivables Facility.
    
 
   
"Attributable Indebtedness" in respect of a sale and leaseback transaction
means, at the time of determination, the present value, discounted at the rate
of interest implicit in such transaction, determined in accordance with GAAP, of
the obligation of the lessee for net rental payments during the remaining term
of the lease included in such sale and leaseback transaction, including any
period for which such lease has been extended or may, at the option of the
lessor, be extended.
    
 
   
"Capital Expenditure Indebtedness" means Indebtedness incurred by any Person to
finance the purchase or construction or any property or assets acquired or
constructed by such Person which have a useful life or more than one year so
long as:
    
 
   
     - the purchase or construction price for such property or assets is
       included in "addition to property, plant or equipment" in accordance with
       GAAP,
    
 
   
     - the acquisition or construction of such property or assets is not part of
       any acquisition of a Person or line of business and
    
 
   
     - such Indebtedness is incurred within 90 days of the acquisition or
       completion of construction of such property or assets.
    
 
"Capital Lease Obligation" means, at the time any determination thereof is to be
made, the amount of the liability in respect of a capital lease that would at
such time be required to be capitalized on a balance sheet in accordance with
GAAP.
 
"Capital Stock" means
 
   
     - in the case of a corporation, corporate stock,
    
 
   
     - in the case of an association or business entity, any and all shares,
       interests, participations, rights or other equivalents, however
       designated, of corporate stock,
    
 
   
     - in the case of a partnership or limited liability company, partnership or
       membership interests, whether general or limited, and
    
 
   
     - any other interest or participation that confers on a Person the right to
       receive a share of the profits and losses of, or distributions of assets
       of, the issuing Person.
    
 
"Cash Equivalents" means
 
   
     - Government Securities,
    
 
   
     - any certificate of deposit maturing not more than 365 days after the date
       of acquisition issued by, or time deposit of, an Eligible Institution or
       any lender under the New Credit Facility,
    
 
   
     - commercial paper maturing not more than 365 days after the date of
       acquisition of an issuer, other than an Affiliate of the Issuer, with a
       rating, at the time as of which any investment therein is made, of "A-3"
       or higher according to Standard & Poor's Ratings Group ("S&P") or "P-2"
       or higher according to Moody's Investor Services, Inc. ("Moody's") or
       carrying an equivalent rating by a nationally recognized rating agency if
       both of the two named rating agencies cease publishing ratings of
       investments,
    
 
                                       39
<PAGE>   43
 
   
     - any bankers acceptances of money market deposit accounts issued by an
       Eligible Institution and
    
 
   
     - any fund investing exclusively in investments of the types described in
       the foregoing clauses.
    
 
"Consolidated Cash Flow" means, with respect to any Person for any period, the
Consolidated Net Income of such Person and its Restricted Subsidiaries for such
period plus, to the extent deducted in computing Consolidated Net Income,
 
   
     - an amount equal to any extraordinary or non-recurring loss plus any net
       loss realized in connection with an Asset Sale,
    
 
   
     - provision for taxes based on income or profits of such Person and its
       Restricted Subsidiaries for such period,
    
 
   
     - Fixed Charges of such Person for such period,
    
 
   
     - depreciation, amortization (including amortization of goodwill and other
       intangibles) and all other non-cash charges (excluding any such non-cash
       charge to the extent that it represents an accrual of or reserve for cash
       expenses in any future period or amortization of a prepaid cash expense
       that was paid in a prior period) of such Person and its Restricted
       Subsidiaries for such period,
    
 
   
     - net periodic post-retirement benefits,
    
 
   
     - other income or expense net as set forth on the face of such Person's
       statement of operations,
    
 
   
     - expenses and charges of the Issuer and Thermadyne LLC related to the
       Recapitalization, the New Credit Facility and the application of the
       proceeds thereof which are paid, taken or otherwise accounted for within
       90 days of the consummation of the Merger, and
    
 
   
     - any non-capitalized transaction costs incurred in connection with actual
       or proposed financings, acquisition or divestitures, including financing
       and refinancing fees and costs incurred in connection with the
       Recapitalization, in each case, on a consolidated basis and determined in
       accordance with GAAP.
    
 
   
Notwithstanding the foregoing, the provision for taxes based on the income or
profits of, the Fixed Charges of, and the depreciation and amortization and
other non-cash charges of, a Restricted Subsidiary of a Person shall be added to
Consolidated Net Income to compute Consolidated Cash Flow only to the extent,
and in the same proportion, that Net Income of such Restricted Subsidiary was
included in calculating the Consolidated Net Income of such Person.
    
 
"Consolidated Interest Expense" means, with respect to any Person for any
period, the sum of, without duplication,
 
   
     - the interest expense of such Person and its Restricted Subsidiaries for
       such period, on a consolidated basis, determined in accordance with GAAP
       (including amortization of original issue discount, non-cash interest
       payments, the interest component of all payments associated with Capital
       Lease Obligations, imputed interest with respect to Attributable Debt,
       commissions, discounts and other fees and charges incurred in respect of
       letter of credit or bankers' acceptance financings, and net payments, if
       any, pursuant to Hedging Obligations; provided that in no
    
 
                                       40
<PAGE>   44
 
       event shall any amortization of deferred financing costs be included in
       Consolidated Interest Expense); and
 
   
     - the consolidated capitalized interest of such Person and its Restricted
       Subsidiaries for such period, whether paid or accrued; provided, however,
       that Receivables Fees shall be deemed not to constitute Consolidated
       Interest Expense.
    
 
   
Notwithstanding the foregoing, the Consolidated Interest Expense with respect to
any Restricted Subsidiary that is not a Wholly Owned Restricted Subsidiary shall
be included only to the extent, and in the same proportion, that the net income
of such Restricted Subsidiary was included in calculating Consolidated Net
Income.
    
 
   
"Consolidated Net Income" means, with respect to any Person for any period, the
aggregate of the Net Income of such Person and its Restricted Subsidiaries for
such period, on a consolidated basis, determined in accordance with GAAP;
provided that:
    
 
   
     - the Net Income, or loss, of any Person that is not a Restricted
       Subsidiary or that is accounted for by the equity method of accounting
       shall be included only to the extent of the amount of dividends or
       distributions paid in cash to the referent Person or a Restricted
       Subsidiary thereof;
    
 
   
     - the Net Income, or loss, of any Person acquired in a pooling of interests
       transaction for any period before the date of such acquisition shall be
       excluded; and
    
 
   
     - the cumulative effect of a change in accounting principles shall be
       excluded.
    
 
"Default" means any event that is or with the passage of time or the giving of
notice or both would be an Event of Default.
 
   
"Designated Noncash Consideration" means the fair market value of non-cash
consideration received by the Issuer or one of its Restricted Subsidiaries in
connection with an Asset Sale that is so designated as Designated Noncash
Consideration pursuant to an Officers' Certificate, showing the basis of the
valuation, executed by the principal executive officer and the principal
financial officer of the Issuer, less the amount of cash or Cash Equivalents
received in connection with a sale of such Designated Noncash Consideration.
    
 
   
"Disqualified Stock" means any Capital Stock that, by its terms (or by the terms
of any security into which it is convertible, or for which it is exchangeable),
or upon the happening of any event (other than any event solely within the
control of the issuer thereof), matures or is mandatorily redeemable, pursuant
to a sinking fund obligation or otherwise, is exchangeable for Indebtedness
(except to the extent exchangeable at the option of such Person subject to the
terms of any debt instrument to which such Person is a party) or redeemable at
the option of the Holder thereof, in whole or in part, on or before the date on
which the Debentures mature; provided that any Capital Stock that would
constitute Disqualified Stock solely because the holders thereof have the right
to require the Issuer to repurchase such Capital Stock upon the occurrence of a
Change of Control or an Asset Sale shall not constitute Disqualified Stock if
the terms of such Capital Stock provide that the Issuer may not repurchase or
redeem any such Capital Stock pursuant to such provisions unless such repurchase
or redemption complies with the covenant described under the caption "--Certain
Covenants--Restricted Payments," and provided further that, if such Capital
Stock is issued to any plan for the benefit of employees of the Issuer or its
Subsidiaries or by any such plan to such employees, such Capital Stock shall not
constitute Disqualified Stock solely because it may be required to be
repurchased by the Issuer in order to satisfy applicable statutory or regulatory
obligations.
    
 
                                       41
<PAGE>   45
 
"DLJMB" means DLJ Merchant Banking Partners II, L.P. and its Affiliates.
 
   
"Eligible Institution" means a commercial banking institution that has combined
capital and surplus not less than $100.0 million or its equivalent in foreign
currency, whose short-term debt is rated "A-3" or higher according to S&P or
"P-2" or higher according to Moody's or carrying an equivalent rating by a
nationally recognized rating agency if both of the two named rating agencies
cease publishing ratings of investments.
    
 
   
"Equity Interests" means Capital Stock and all warrants, options or other rights
to acquire Capital Stock, but excluding any debt security that is convertible
into, or exchangeable for, Capital Stock.
    
 
   
"Existing Indebtedness" means Indebtedness of the Issuer and its Restricted
Subsidiaries, other than Indebtedness under the New Credit Facility or the
Senior Subordinated Notes in existence on the date of the Indenture, until such
amounts are repaid.
    
 
   
"Fixed Charges" means, with respect to any Person for any period, the sum,
without duplication, of:
    
 
   
     - the Consolidated Interest Expense of such Person for such period in
       accordance with GAAP and
    
 
   
     - all dividend payments on any series of preferred stock of such Person,
       other than dividends payable solely in Equity Interests that are not
       Disqualified Stock, on a consolidated basis and in accordance with GAAP.
    
 
   
"Fixed Charge Coverage Ratio" means, with respect to any Person for any period,
the ratio of the Consolidated Cash Flow of such Person for such period
(exclusive of amounts attributable to discontinued operations, as determined in
accordance with GAAP, or operations and businesses disposed of prior to the
Calculation Date) to the Fixed Charges of such Person for such period, exclusive
of amounts attributable to discontinued operations, as determined in accordance
with GAAP, or operations and businesses disposed of prior to the Calculation
Date. In the event that the referent Person or any of its Subsidiaries incurs,
assumes, guarantees or redeems any Indebtedness, other than revolving credit
borrowings, or issues or redeems preferred stock after the commencement of the
period for which the Fixed Charge Coverage Ratio is being calculated but before
the date on which the event for which the calculation of the Fixed Charge
Coverage Ratio is made (the "Calculation Date"), then the Fixed Charge Coverage
Ratio shall be calculated giving pro forma effect to such incurrence,
assumption, guarantee or redemption of Indebtedness, or such issuance or
redemption of preferred stock, as if the same had occurred at the beginning of
the applicable four-quarter reference period. In addition, for purposes of
making the computation referred to above, acquisitions that have been made by
the Issuer or any of its Subsidiaries, including all mergers or consolidations
and any related financing transactions, during the four-quarter reference period
or subsequent to such reference period and on or before the Calculation Date
shall be calculated to include the Consolidated Cash Flow of the acquired
entities on a pro forma basis after giving effect to cost savings resulting from
employee terminations, facilities consolidations and closings, standardization
of employee benefits and compensation practices, consolidation of property,
casualty and other insurance coverage and policies, standardization of sales and
distribution methods, reductions in taxes other than income taxes and other cost
savings reasonably expected to be realized from such acquisition, as determined
in good faith by an officer of the Issuer, regardless of whether such cost
savings could then be reflected in pro forma financial statements under GAAP,
Regulation S-X promulgated by the SEC or any other regulation or policy of the
SEC, and without giving effect to the last clause of
    
 
                                       42
<PAGE>   46
 
the proviso set forth in the definition of Consolidated Net Income, and shall be
deemed to have occurred on the first day of the four-quarter reference period
and Consolidated Cash Flow for such reference period shall be calculated.
 
"GAAP" means generally accepted accounting principles set forth in the opinions
and pronouncements of the Accounting Principles Board of the American Institute
of Certified Public Accountants and statements and pronouncements of the
Financial Accounting Standards Board or in such other statements by such other
entity as have been approved by a significant segment of the accounting
profession, which are in effect on the date of the Indenture.
 
   
"guarantee" means a guarantee (other than by endorsement of negotiable
instruments for collection in the ordinary course of business), direct or
indirect, in any manner (including letters of credit or reimbursement agreements
in respect thereof), of all or any part of any Indebtedness.
    
 
"Hedging Obligations" means, with respect to any Person, the obligations of such
Person under
 
   
     - interest rate swap agreements, interest rate cap agreements and interest
       rate collar agreements and
    
 
   
     - other agreements or arrangements designed to protect such Person against
       fluctuations in interest rates or foreign exchange rates.
    
 
   
"Holder" means a Person in whose name a Debenture is registered.
    
 
   
"Indebtedness" means, with respect to any Person, any indebtedness of such
Person in respect of borrowed money or evidenced by bonds, notes, debentures or
similar instruments or letters of credit, or reimbursement agreements in respect
thereof, or banker's acceptances or representing Capital Lease Obligations or
the balance deferred and unpaid of the purchase price of any property or
representing any Hedging Obligations, except any such balance that constitutes
an accrued expense or trade payable, if and to the extent any of the foregoing
Indebtedness, other than letters of credit and Hedging Obligations, would appear
as a liability upon a balance sheet of such Person prepared in accordance with
GAAP, as well as all Indebtedness of others secured by a Lien on any asset of
such Person, whether or not such Indebtedness is assumed by such Person and, to
the extent not otherwise included, the guarantee by such Person of any
Indebtedness of any other Person, provided that Indebtedness shall not include
the pledge by the Issuer of the Capital Stock of an Unrestricted Subsidiary of
the Issuer to secure Non-Recourse Debt of such Unrestricted Subsidiary. The
amount of any Indebtedness outstanding as of any date shall be (a) the accreted
value thereof (together with any interest thereon that is more than 30 days past
due), in the case of any Indebtedness that does not require current payments of
interest, and (b) the principal amount thereof, in the case of any other
Indebtedness.
    
 
   
"Investments" means, with respect to any Person, all investments by such Person
in other Persons, including Affiliates, in the forms of direct or indirect loans
(including guarantees by the referent Person of, and Liens on any assets of the
referent Person securing, Indebtedness or other obligations of other Persons),
advances or capital contributions (excluding commission, travel and similar
advances to officers and employees made in the ordinary course of business),
purchases or other acquisitions for consideration of Indebtedness, Equity
Interests or other securities, together with all items that are or would be
classified as investments on a balance sheet prepared in accordance with GAAP,
    
 
                                       43
<PAGE>   47
 
provided that an investment by the Issuer for consideration consisting of common
equity securities of the Issuer shall not be deemed to be an Investment. If the
Issuer or any Restricted Subsidiary of the Issuer sells or otherwise disposes of
any Equity Interests of any direct or indirect Restricted Subsidiary of the
Issuer such that, after giving effect to any such sale or disposition, such
Person is no longer a Subsidiary of the Issuer, the Issuer shall be deemed to
have made an Investment on the date of any such sale or disposition equal to the
fair market value of the Equity Interests of such Restricted Subsidiary not sold
or disposed of in an amount determined as provided in the final paragraph of the
covenant described under the caption "--Restricted Payments."
 
   
"Lien" means, with respect to any asset, any mortgage, lien, pledge, charge,
security interest or encumbrance of any kind in respect of such asset, whether
or not filed, recorded or otherwise perfected under applicable law, including
any conditional sale or other title retention agreement, any lease in the nature
thereof, any option or other agreement to sell or give a security interest in
and any filing of or agreement to give any financing statement under the Uniform
Commercial Code (or equivalent statutes) of any jurisdiction.
    
 
   
"Liquidated Damages" means all liquidated damages then owing pursuant to Section
5 of the Registration Rights Agreement.
    
 
"Management Loans" means one or more loans by the Issuer or Thermadyne LLC to
officers and/or directors of the Issuer and any of its Restricted Subsidiaries
to finance the purchase by such officers and directors of common stock of the
Issuer; provided, however, that the aggregate principal amount of all such
Management Loans outstanding at any time shall not exceed $5.0 million.
 
"Merger" means the merger of the Issuer with and into Thermadyne Holdings
Corporation on or prior to the date of issuance of the Debentures.
 
"Net Income" means, with respect to any Person, the net income (loss) of such
Person, determined in accordance with GAAP and before any reduction in respect
of preferred stock dividends, excluding, however,
 
   
     - any gain (or loss), together with any related provision for taxes on such
       gain (or loss), realized in connection with (a) any Asset Sale (including
       dispositions pursuant to sale and leaseback transactions) or (b) the
       extinguishment of any Indebtedness of such Person or any of its
       Restricted Subsidiaries and
    
 
   
     - any extraordinary or nonrecurring gain (or loss), together with any
       related provision for taxes on such extraordinary or nonrecurring gain
       (or loss).
    
 
   
"Net Proceeds" means the aggregate cash proceeds received by the Issuer or any
of its Restricted Subsidiaries in respect of any Asset Sale (including any cash
received upon the sale or other disposition of any non-cash consideration
received in any Asset Sale), net of, without duplication,
    
 
   
     - the direct costs relating to such Asset Sale (including legal, accounting
       and investment banking fees, and sales commissions, recording fees, title
       transfer fees and appraiser fees and cost of preparation of assets for
       sale) and any relocation expenses incurred as a result thereof,
    
 
   
     - taxes paid or payable as a result thereof, after taking into account any
       available tax credits or deductions and any tax sharing arrangements,
    
 
   
     - amounts required to be applied to the repayment of Indebtedness, other
       than as required by the first clause of the second paragraph of the
       covenant described above
    
 
                                       44
<PAGE>   48
 
       under the caption "--Repurchase at the Option of Holders--Asset Sales")
       secured by a Lien on the asset or assets that were the subject of such
       Asset Sale and
 
   
     - any reserve established in accordance with GAAP or any amount placed in
       escrow, in either case for adjustment in respect of the sale price of
       such asset or assets until such time as such reserve is reversed or such
       escrow arrangement is terminated, in which case Net Proceeds shall
       include only the amount of the reserve so reversed or the amount returned
       to the Issuer or its Restricted Subsidiaries from such escrow
       arrangement, as the case may be.
    
 
   
"New Credit Facility" means the Credit Agreement dated as of May 22, 1998, by
and among Thermadyne Mfg. LLC and certain of its foreign subsidiaries,
Donaldson, Lufkin & Jenrette Securities Corporation, as arranger, DLJ Capital
Funding, Inc., as syndication agent, and ABN AMRO Bank N.V., Chicago Branch, as
administrative agent, including any related notes, guarantees, collateral
documents, instruments and agreements executed in connection therewith, and, in
each case, as amended, modified, renewed, refunded, replaced or refinanced from
time to time, including any agreement:
    
 
   
     - extending or shortening the maturity of any Indebtedness incurred
       thereunder or contemplated thereby;
    
 
   
     - adding or deleting borrowers or guarantors thereunder;
    
 
   
     - increasing the amount of Indebtedness incurred thereunder or available to
       be borrowed thereunder, provided that on the date such Indebtedness is
       incurred it would not be prohibited by clause (i) of Section 4.09 of the
       Indenture; or
    
 
   
     - otherwise altering the terms and conditions thereof.
    
 
   
Indebtedness under the New Credit Facility outstanding on the date on which
Debentures are first issued and authenticated under the Indenture shall be
deemed to have been incurred on such date in reliance on the first paragraph of
Section 4.09 of the Indenture.
    
 
"Non-Recourse Debt" means Indebtedness
 
   
     - no default with respect to, which, including any rights that the holders
       thereof may have to take enforcement action against an Unrestricted
       Subsidiary, would permit (upon notice, lapse of time or both) any holder
       of any other Indebtedness of the Issuer or any of its Restricted
       Subsidiaries to declare a default on such other Indebtedness or cause the
       payment thereof to be accelerated or payable before its stated maturity;
       and
    
 
   
     - as to which the lenders have been notified in writing that they will not
       have any recourse to the stock, other than the stock of an Unrestricted
       Subsidiary pledged by the Issuer to secure debt of such Unrestricted
       Subsidiary, or assets of the Issuer or any of its Restricted
       Subsidiaries; provided that in no event shall Indebtedness of any
       Unrestricted Subsidiary fail to be Non-Recourse Debt solely as a result
       of any default provisions contained in a guarantee thereof by the Issuer
       or any of its Restricted Subsidiaries if the Issuer or such Restricted
       Subsidiary was otherwise permitted to incur such guarantee pursuant to
       the Indenture.
    
 
"Obligations" means any principal, interest, penalties, fees, indemnifications,
reimbursements, damages and other liabilities payable under the documentation
governing any Indebtedness.
 
                                       45
<PAGE>   49
 
"Original Offerings" means the offering of the Debentures by the Issuer and the
concurrent offering of the Senior Subordinated Notes by Thermadyne LLC and
Thermadyne Capital.
 
"Pari Passu Indebtedness" means Indebtedness of the Issuer that ranks pari passu
in right of payment to the Debentures.
 
"Permitted Business" means any business in which the Issuer and its Restricted
Subsidiaries are engaged on the date of the Indenture or any business reasonably
related, incidental or ancillary thereto.
 
"Permitted Investments" means
 
   
     (a) any Investment in the Issuer or in a Restricted Subsidiary of the
     Issuer,
    
 
   
     (b) any Investment in cash or Cash Equivalents,
    
 
   
     (c) any Investment by the Issuer or any Restricted Subsidiary of the Issuer
     in a Person, if as a result of such Investment (a) such Person becomes a
     Restricted Subsidiary of the Issuer or (b) such Person is merged,
     consolidated or amalgamated with or into, or transfers or conveys
     substantially all of its assets to, or is liquidated into, the Issuer or a
     Wholly Owned Restricted Subsidiary of the Issuer,
    
 
   
     (d) any Investment made as a result of the receipt of non-cash
     consideration from an Asset Sale that was made pursuant to and in
     compliance with the covenant described under the caption "--Repurchase at
     the Option of Holders--Asset Sales,"
    
 
   
     (e) any Investment acquired solely in exchange for Equity Interests, other
     than Disqualified Stock, of the Issuer,
    
 
   
     (f) any Investment in a Person engaged in a Permitted Business, other than
     an Investment in an Unrestricted Subsidiary, having an aggregate fair
     market value, taken together with all other Investments made pursuant to
     this clause that are at that time outstanding, not to exceed 15% of Total
     Assets at the time of such Investment, with the fair market value of each
     Investment being measured at the time made and without giving effect to
     subsequent changes in value,
    
 
   
     (g) Investments relating to any special purpose Wholly Owned Subsidiary of
     the Issuer organized in connection with a Receivables Facility that, in the
     good faith determination of the Board of Directors of the Issuer, are
     necessary or advisable to effect such Receivables Facility, and
    
 
   
     (h) the Management Loans.
    
 
"Permitted Liens" means:
 
   
     - Liens on property of a Person existing at the time such Person is merged
       into or consolidated with the Issuer or any Restricted Subsidiary,
       provided that such Liens were not incurred in contemplation of such
       merger or consolidation and do not secure any property or assets of the
       Issuer or any Restricted Subsidiary other than the property or assets
       subject to the Liens prior to such merger or consolidation;
    
 
   
     - Liens existing on the date of the Indenture;
    
 
   
     - Liens securing Indebtedness consisting of Capitalized Lease Obligations,
       purchase money Indebtedness, mortgage financings, industrial revenue
       bonds or other monetary obligations, in each case incurred solely for the
       purpose of financing all or any part of the purchase price or cost of
       construction or installation of assets used
    
 
                                       46
<PAGE>   50
 
   
       in the business of the Issuer or its Restricted Subsidiaries, or repairs,
       additions or improvements to such assets, provided that (a) such Liens
       secure Indebtedness in an amount not in excess of the original purchase
       price or the original cost of any such assets or repair, additional or
       improvement thereto, plus an amount equal to the reasonable fees and
       expenses in connection with the incurrence of such Indebtedness, (b) such
       Liens do not extend to any other assets of the Issuer or its Restricted
       Subsidiaries, and, in the case of repair, addition or improvements to any
       such assets, such Lien extends only to the assets, and improvements
       thereto or thereon, repaired, added to or improved, (c) the Incurrence of
       such Indebtedness is permitted by "--Certain Covenants--Incurrence of
       Indebtedness and Issuance of Preferred Stock" and (d) such Liens attach
       within 365 days of such purchase, construction, installation, repair,
       addition or improvement;
    
 
   
     - Liens to secure any refinancings, renewals, extensions, modification or
       replacements (collectively, "refinancing") (or successive refinancings),
       in whole or in part, of any Indebtedness secured by Liens referred to in
       the clauses above so long as such Lien does not extend to any other
       property, other than improvements thereto;
    
 
   
     - Liens securing letters of credit entered into in the ordinary course of
       business and consistent with past business practice;
    
 
   
     - Liens on and pledges of the capital stock of any Unrestricted Subsidiary
       securing Non-Recourse Debt of such Unrestricted Subsidiary;
    
 
   
     - Liens securing Indebtedness, including all Obligations, under the New
       Credit Facility; and
    
 
   
     - other Liens securing Indebtedness that is permitted by the terms of the
       Indenture to be outstanding having an aggregate principal amount at any
       one time outstanding not to exceed $50.0 million.
    
 
   
"Permitted Refinancing Indebtedness" means any Indebtedness of the Issuer or any
of its Restricted Subsidiaries issued in exchange for, or the net proceeds of
which are used to extend, refinance, renew, replace, defease or refund other
Indebtedness of the Issuer or any of its Restricted Subsidiaries; provided that:
    
 
   
     - the principal amount, or accreted value, if applicable, of such Permitted
       Refinancing Indebtedness does not exceed the principal amount of, or
       accreted value, if applicable, plus premium, if any, and accrued interest
       on the Indebtedness so extended, refinanced, renewed, replaced, defeased
       or refunded (plus the amount of reasonable expenses incurred in
       connection therewith);
    
 
   
     - such Permitted Refinancing Indebtedness has a final maturity date no
       earlier than the final maturity date of, and has a Weighted Average Life
       to Maturity equal to or greater than the Weighted Average Life to
       Maturity of, the Indebtedness being extended, refinanced, renewed,
       replaced, defeased or refunded; and
    
 
   
     - if the Indebtedness being extended, refinanced, renewed, replaced,
       defeased or refunded is subordinated in right of payment to the
       Debentures, such Permitted Refinancing Indebtedness is subordinated in
       right of payment to, the Debentures on terms at least as favorable, taken
       as a whole, to the Holders of Debentures as those contained in the
       documentation governing the Indebtedness being extended, refinanced,
       renewed, replaced, defeased or refunded.
    
 
                                       47
<PAGE>   51
 
   
"Person" means any individual, corporation, partnership, limited liability
company, joint venture, association, joint-stock company, trust, unincorporated
organization or government or agency or political subdivision thereof (including
any subdivision or ongoing business of any such entity or substantially all of
the assets of any such entity, subdivision or business).
    
 
"Principals" means DLJMB.
 
   
"Public Equity Offering" means any issuance of common stock or preferred stock
by the Issuer, other than Disqualified Stock, or membership interests by
Thermadyne LLC, other than to the Issuer and other than Disqualified Stock, that
is registered pursuant to the Securities Act, other than issuances registered on
Form S-8 and issuances registered on Form S-4, excluding issuances of common
stock or membership interests pursuant to employee benefit plans of the Issuer
or its Restricted Subsidiaries or otherwise as compensation to employees of the
Issuer or its Restricted Subsidiaries.
    
 
"Qualified Proceeds" means any of the following or any combination of the
following:
 
   
     - cash;
    
 
   
     - Cash Equivalents;
    
 
   
     - assets that are used or useful in a Permitted Business; and
    
 
   
     - the Capital Stock of any Person engaged in a Permitted Business if, in
       connection with the receipt by the Issuer or any Restricted Subsidiary of
       the Issuer of such Capital Stock, (a) such Person becomes a Restricted
       Subsidiary of the Issuer or any Restricted Subsidiary of the Issuer or
       (b) such Person is merged, consolidated or amalgamated with or into, or
       transfers or conveys substantially all of its assets to, or is liquidated
       into, the Issuer or any Restricted Subsidiary of the Issuer.
    
 
"Recapitalization" means the Acquisition, the Merger and the Original Offerings.
 
"Receivables Facility" means one or more receivables financing facilities, as
amended from time to time, pursuant to which the Issuer or any of its Restricted
Subsidiaries sells its accounts receivable to an Accounts Receivable Subsidiary.
 
"Receivables Fees" means distributions or payments made directly or by means of
discounts with respect to any participation interests issued or sold in
connection with, and other fees paid to a Person that is not a Restricted
Subsidiary in connection with, any Receivables Facility.
 
   
"Registration Rights Agreement" means the Registration Rights Agreement, dated
as of May 22, 1998, by and among the Issuer and the other parties named on the
signature pages thereof as such agreement may be amended, modified or
supplemented from time to time, and, with respect to any Additional Debentures,
one or more registration rights agreements between the Issuer and the other
parties thereto, as such agreement(s) may be amended, modified or supplemented
from time to time, relating to any rights given by the Issuer to the purchasers
of Additional Debentures to register such Additional Debentures.
    
 
"Related Party" means, with respect to any Principal,
 
   
     - any controlling stockholder or partner of such Principal on the date of
       the Indenture, or
    
 
   
     - any trust, corporation, partnership or other entity, the beneficiaries,
       stockholders, partners, owners or Persons beneficially holding, directly
       or through one or more
    
 
                                       48
<PAGE>   52
 
   
       Subsidiaries, a 51% or more controlling interest of which consist of the
       Principals and/or such other Persons referred to in the immediately
       preceding clauses.
    
 
"Restricted Investment" means an Investment other than a Permitted Investment.
 
"Restricted Subsidiary" of a Person means any Subsidiary of the referent Person
that is not an Unrestricted Subsidiary.
 
   
"Senior Subordinated Notes" means the 9 7/8% Senior Subordinated Notes due 2008
of Thermadyne LLC and Thermadyne Capital.
    
 
"Significant Subsidiary" means any Subsidiary that would be a "significant
subsidiary" as defined in Article 1, Rule 1-02 of Regulation S-X, promulgated
pursuant to the Securities Act, as such Regulation is in effect on the date
hereof.
 
"Specified Agreements" means the Investors' Agreement and the Tax Sharing
Agreement.
 
   
"Stated Maturity" means, with respect to any installment of interest or
principal on any series of Indebtedness, the date on which such payment of
interest or principal was scheduled to be paid in the original documentation
governing such Indebtedness, and shall not include any contingent obligations to
repay, redeem or repurchase any such interest or principal before the date
originally scheduled for the payment thereof.
    
 
"Subordinated Indebtedness" means all Obligations with respect to Indebtedness
of the Issuer if the instrument creating or evidencing the same, or pursuant to
which the same is outstanding, designates such Obligations as subordinated or
junior in right of payment to the Debentures.
 
"Subordinated Note Indenture" means the indenture relating to the Senior
Subordinated Notes.
 
"Subsidiary" means, with respect to any Person,
 
   
     - any corporation, association or other business entity of which more than
       50% of the total voting power of shares of Capital Stock entitled,
       without regard to the occurrence of any contingency, to vote in the
       election of directors, managers or trustees thereof is at the time owned
       or controlled, directly or indirectly, by such Person or one or more of
       the other Subsidiaries of that Person, or a combination thereof, and
    
 
   
     - any partnership or limited liability company (a) the sole general partner
       or the managing general partner or managing member of which is such
       Person or a Subsidiary of such Person or (b) the only general partners or
       managing members of which are such Person or of one or more Subsidiaries
       of such Person, or any combination thereof.
    
 
"Tax Sharing Agreement" means any tax sharing agreement or arrangement between
the Issuer and its Subsidiaries, as the same may be amended from time to time;
provided that in no event shall the amount permitted to be paid pursuant to all
such agreements and/or arrangements exceed the amount the Issuer would be
required to pay for income taxes were it to file a consolidated tax return for
itself and its consolidated Restricted Subsidiaries.
 
"Thermadyne LLC" means Thermadyne Mfg. LLC, a Delaware limited liability
company, the sole member of which is the Issuer.
 
"Thermadyne Capital" means Thermadyne Capital Corp., a Delaware corporation
wholly owned by Thermadyne LLC.
 
                                       49
<PAGE>   53
 
   
"Total Assets" means the total consolidated assets of the Issuer and its
Restricted Subsidiaries, as shown on the most recent balance sheet, excluding
the footnotes thereto, of the Issuer.
    
 
   
"Unrestricted Subsidiary" means any Subsidiary, other than Thermadyne LLC and
Thermadyne Capital, that is designated by the Board of Directors as an
Unrestricted Subsidiary pursuant to a board resolution, but only to the extent
that such Subsidiary:
    
 
   
     - has no Indebtedness other than Non-Recourse Debt;
    
 
   
     - is not party to any agreement, contract, arrangement or understanding
       with the Issuer or any Restricted Subsidiary of the Issuer unless the
       terms of any such agreement, contract, arrangement or understanding are
       no less favorable to the Issuer or such Restricted Subsidiary than those
       that might be obtained at the time from Persons who are not Affiliates of
       the Issuer;
    
 
   
     - is a Person with respect to which neither the Issuer nor any of its
       Restricted Subsidiaries has any direct or indirect obligation (a) to
       subscribe for additional Equity Interests, other than Investments
       described in the seventh clause of the definition of Permitted
       Investments or (b) to maintain or preserve such Person's financial
       condition or to cause such Person to achieve any specified levels, of
       operating results; and
    
 
   
     - has not guaranteed or otherwise directly or indirectly provided credit
       support for any Indebtedness of the Issuer or any of its Restricted
       Subsidiaries.
    
 
   
Any such designation by the Board of Directors shall be evidenced to the Trustee
by filing with the Trustee a certified copy of the board resolution giving
effect to such designation and an Officers' Certificate certifying that such
designation complied with the foregoing conditions and was permitted by the
covenant described under the caption entitled "--Certain Covenants--Restricted
Payments." If, at any time, any Unrestricted Subsidiary would fail to meet the
foregoing requirements as a Unrestricted Subsidiary, it shall thereafter cease
to be an Unrestricted Subsidiary for purposes of the Indenture and any
Indebtedness of such Subsidiary shall be deemed to be incurred by a Restricted
Subsidiary of the Issuer as of such date (and, if such Indebtedness is not
permitted to be incurred as of such date under the covenant described under the
caption entitled "--Certain Covenants--Incurrence of Indebtedness and Issuance
of Preferred Stock," the Issuer shall be in default of such covenant). The Board
of Directors of the Issuer may at any time designate any Unrestricted Subsidiary
to be a Restricted Subsidiary; provided that such designation shall be deemed to
be an incurrence of Indebtedness by a Restricted Subsidiary of the Issuer of any
outstanding Indebtedness of such Unrestricted Subsidiary and such designation
shall only be permitted if:
    
 
   
     - such Indebtedness is permitted under the covenant described under the
       caption entitled "--Certain Covenants--Incurrence of Indebtedness and
       Issuance Preferred of Stock" and
    
 
   
     - no Default or Event of Default would be in existence following such
       designation.
    
 
"Weighted Average Life to Maturity" means, when applied to any Indebtedness at
any date, the number of years obtained by dividing
 
   
     - the sum of the products obtained by multiplying (a) the amount of each
       then remaining installment, sinking fund, serial maturity or other
       required payments of principal, including payment at final maturity, in
       respect thereof, by (b) the number
    
 
                                       50
<PAGE>   54
 
   
       of years, calculated to the nearest one-twelfth, that will elapse between
       such date and the making of such payment, by
    
 
   
     - the then outstanding principal amount of such Indebtedness.
    
 
   
"Wholly Owned Restricted Subsidiary" of any Person means a Restricted Subsidiary
of such Person all the outstanding Capital Stock or other ownership interests of
which, other than directors' qualifying shares, shall at the time be owned by
such Person or by one or more Wholly Owned Subsidiaries of such Person.
    
 
BOOK-ENTRY; DELIVERY AND FORM
 
Except as described in the next paragraph, the Debentures are currently
represented by one or more permanent global certificates in definitive, duly
registered form (the "Global Debentures"). The Global Debentures were deposited
on the Issue Date with, or on behalf of, DTC and registered in the name of a
nominee of DTC.
 
The Global Debentures. The Company expects that pursuant to procedures
established by DTC
 
   
     - upon the issuance of the Global Debentures, DTC or its custodian will
       credit, on its internal system, the principal amount of Debentures of the
       individual beneficial interests represented by the Global Debentures to
       the respective accounts of persons who have accounts with such depositary
       and
    
 
   
     - ownership of beneficial interests in the Global Debentures will be shown
       on, and the transfer of such ownership will be effected only through,
       records maintained by DTC or its nominee, with respect to interests of
       persons who have accounts with DTC ("participants") and the records of
       participants, with respect to interests of persons other than
       participants.
    
 
Qualified Institutional Buyers ("QIB's") and institutional Accredited Investors
who are not QIB's may hold their interests in the Global Debentures directly
through DTC if they are participants in such system, or indirectly through
organizations which are participants in such system.
 
So long as DTC, or its nominee, is the registered owner or holder of the
Debentures, DTC or such nominee, as the case may be, will be considered the sole
owner or holder of the Debentures represented by such Global Debentures for all
purposes under the Indenture. No beneficial owner of an interest in the Global
Debentures will be able to transfer that interest except in accordance with
DTC's procedures.
 
   
Payments of the principal of, premium, if any, and interest on, the Global
Debentures will be made to DTC or its nominee, as the case may be, as the
registered owner thereof. None of the Company, the Trustee or any Paying Agent
will have any responsibility or liability for any aspect of the records relating
to or payments made on account of beneficial ownership interests in the Global
Debentures or for maintaining, supervising or reviewing any records relating to
such beneficial ownership interest.
    
 
The Company expects that DTC or its nominee, upon receipt of any payment of
principal, premium, if any and interest on the Global Debentures, will credit
participants' accounts with payments in amount proportionate to their respective
beneficial interests in the principal amount of the Global Debentures as shown
on the records of DTC or its nominee. The Company also expects that payments by
participants to owners of beneficial interests in the Global Debentures held
through such participants will be governed by standing instructions and
customary practice, as is now the case with securities held for the
 
                                       51
<PAGE>   55
 
   
accounts of customers registered in the names of nominees for such customers.
Such payments will be the responsibility of the participants.
    
 
Transfers between participants in DTC will be effected in the ordinary way
through DTC's same-day funds system in accordance with DTC rules and will be
settled in same day funds. If a holder requires physical delivery of a
Certificated Security for any reason, including to sell Debentures to persons in
states which require physical delivery of the Debentures, or to pledge such
securities, such holder must transfer its interest in a Global Note, in
accordance with the normal procedures of DTC.
 
   
DTC has advised the Company that it will take any action permitted to be taken
by a holder of Debentures, including the presentation of Debentures for exchange
as described below, only at the direction of one or more participants to whose
account the DTC interests in the Global Debentures are credited and only in
respect of such portion of the aggregate principal amount of Debentures as to
which such participant or participants has or have given such direction.
    
 
   
DTC has advised the Company as follows: DTC is a limited purpose trust company
organized under the laws of the State of New York, a member of the Federal
Reserve System, a "clearing corporation" within the meaning of the Uniform
Commercial Code and a "Clearing Agency" registered pursuant to the provisions of
Section 17A of the Securities Exchange Act of 1934. DTC was created to hold
securities for its participants and facilitate the clearance and settlement of
securities transactions between participants through electronic book-entry
changes in accounts of its participants, thereby eliminating the need for
physical movement of certificates. Participants include securities brokers and
dealers, banks, trust companies and clearing corporations and certain other
organizations. Indirect access to the DTC system is available to others such as
banks, brokers, dealers and trust companies that clear through or maintain a
custodial relationship with a participant, either directly or indirectly
("indirect participants").
    
 
   
Although DTC has agreed to the foregoing procedures in order to facilitate
transfers of interests in the Global Debentures among participants of DTC, it is
under no obligation to perform these procedures, and these procedures may be
discontinued at any time. Neither the Company nor the Trustee will have any
responsibility for the performance by DTC or its participants or indirect
participants of their respective obligations under the rules and procedures
governing their operations.
    
 
Certificated Securities. If DTC is at any time unwilling or unable to continue
as a depositary for the Global Debentures and a successor depositary is not
appointed by the Issuer within 90 days, Certificated Securities will be issued
in exchange for the Global Debentures.
 
                                 LEGAL MATTERS
 
The validity of the debentures offered hereby have been passed upon for the
Company by Weil, Gotshal & Manges LLP, Dallas, Texas and New York, New York.
 
                                       52
<PAGE>   56
 
                                    EXPERTS
 
   
Ernst & Young LLP, independent auditors, have audited our consolidated financial
statements and schedule included in our Annual Report on Form 10-K for the year
ended December 31, 1998, as set forth in their reports, which are incorporated
in this prospectus by reference. Our consolidated financial statements are
incorporated by reference in reliance on their reports, given on their authority
as experts in accounting and auditing.
    
 
                                INDEMNIFICATION
 
   
No officer or director of Thermadyne Holdings Corporation shall have any
liability for any obligations of the Company under the debentures or the related
indenture under the federal securities laws. Insofar as indemnification for
liabilities arising under the Securities Act may be permitted to directors,
officers or persons controlling the Company pursuant to the foregoing
provisions, we have been informed that in the opinion of the SEC, such
indemnification is against public policy as expressed in the Securities Act and
is therefore unenforceable.
    
 
               INCORPORATION OF CERTAIN INFORMATION BY REFERENCE
 
   
We have filed the following document with the SEC and are expressly
incorporating it herein by reference:
    
 
   
     1. Annual Report on Form 10-K for the fiscal year ended December 31, 1998
     (File No. 0-23378).
    
 
   
All documents filed pursuant to Section 13(a), 13(c), 14 or 15(d) of the
Securities Exchange Act subsequent to the date of this prospectus and prior to
the termination of the offering of the debentures shall be deemed to be
incorporated by reference in this prospectus and to be part hereof from the date
of filing of such documents.
    
 
Copies of the above documents may be obtained upon request without charge from
the Secretary's Department, Thermadyne Holdings Corporation, 101 South Hanley
Road, Suite 300, St. Louis, Missouri 63105 (telephone number (314) 721-5573).
 
                      WHERE YOU CAN FIND MORE INFORMATION
 
   
We are a reporting company under the Securities Exchange Act. We file annual,
quarterly and special reports, proxy statements and other information with the
SEC. You may read and copy any reports, statements and other information we file
at the SEC's Public Reference Room at 450 Fifth Street, N.W., Washington, D.C.
20549. Please call 1-800-SEC-0330 for further information on the Public
Reference Room. Our filings are also available from commercial document
retrieval services and at the web site maintained by the SEC at
http://www.sec.gov.
    
 
                                       53
<PAGE>   57
 
- ------------------------------------------------------
- ------------------------------------------------------
   
     NO DEALER, SALESPERSON OR OTHER PERSON HAS BEEN AUTHORIZED TO GIVE ANY
INFORMATION OR TO MAKE ANY REPRESENTATIONS OTHER THAN THOSE CONTAINED IN THIS
PROSPECTUS, AND, IF GIVEN OR MADE, SUCH INFORMATION OR REPRESENTATIONS MUST NOT
BE RELIED UPON AS HAVING BEEN AUTHORIZED. THIS PROSPECTUS DOES NOT CONSTITUTE AN
OFFER TO SELL OR THE SOLICITATION OF AN OFFER TO BUY ANY SECURITIES OTHER THAN
THE SECURITIES TO WHICH IT RELATES OR ANY OFFER TO SELL OR THE SOLICITATION OF
AN OFFER TO BUY SUCH SECURITIES IN ANY CIRCUMSTANCES IN WHICH SUCH OFFER OR
SOLICITATION IS UNLAWFUL. NEITHER THE DELIVERY OF THIS PROSPECTUS NOR ANY OFFER
OR SALE MADE HEREUNDER SHALL, UNDER ANY CIRCUMSTANCES, CREATE AN IMPLICATION
THAT THERE HAS BEEN NO CHANGE IN THE FACTS SET FORTH IN THIS PROSPECTUS OR IN
THE AFFAIRS OF THE COMPANY SINCE THE DATE HEREOF OR THAT THE INFORMATION
CONTAINED HEREIN IS CORRECT AS OF ANY TIME SUBSEQUENT TO ITS DATE.
    
 
                           -------------------------
 
                               TABLE OF CONTENTS
 
   
<TABLE>
<CAPTION>
                                       PAGE
                                       ----
<S>                                    <C>
Summary..............................    1
Risk Factors.........................    4
Ratio of Earnings to Fixed Charges...   12
Use of Proceeds......................   12
Plan of Distribution.................   13
Description of the Debentures........   14
Legal Matters........................   52
Experts..............................   53
Indemnification......................   53
Incorporation of Certain Information
  by Reference.......................   53
Where You Can Find More Information..   53
</TABLE>
    
 
- ------------------------------------------------------
- ------------------------------------------------------
 
- ------------------------------------------------------
- ------------------------------------------------------
   
                        THERMADYNE HOLDINGS CORPORATION
    
   
                       12 1/2% SENIOR DISCOUNT DEBENTURES
    
                                    DUE 2008
                           -------------------------
 
                                   PROSPECTUS
                           -------------------------
   
                                 April   , 1999
    
 
- ------------------------------------------------------
- ------------------------------------------------------
<PAGE>   58
 
                PART II. INFORMATION NOT REQUIRED IN PROSPECTUS
 
ITEM 14. OTHER EXPENSES OF ISSUANCE AND DISTRIBUTION.
 
   
Expenses in connection with this Post-Effective Amendment No. 1 are estimated to
be as follows:
    
 
   
<TABLE>
<S>                                                             <C>
SEC Registration Fee........................................      0
Printing and Engraving Expenses.............................      *
Accounting Fees and Expenses................................      *
Legal Fees and Expenses.....................................      *
Miscellaneous...............................................      *
          Total.............................................      *
</TABLE>
    
 
- ---------------
 
   
* To be supplied by amendment.
    
 
ITEM 15. INDEMNIFICATION OF OFFICERS AND DIRECTORS.
 
Section 145 of the General Corporation Law of the State of Delaware (the "DGCL")
permits a corporation to indemnify any of its directors or officers who was or
is a party, or is threatened to be made a party to any third party proceeding by
reason of the fact that such person is or was a director or officer of the
corporation, against expenses (including attorney's fees), judgments, fines and
amounts paid in settlement actually and reasonably incurred by such person in
connection with such action, suit or proceeding, if such person acted in good
faith and in a manner such person reasonably believed to be in or not opposed to
the best interests of the corporation, and, with respect to any criminal action
or proceeding, had no reason to believe that such person's conduct was unlawful.
In a derivative action, i.e., one by or in the right of the corporation, the
corporation is permitted to indemnify directors and officers against expenses
incurred by them in connection with the defense or settlement of an action or
suit if they acted in good faith and in a manner that they reasonably believed
to be in or not opposed to the best interests of the corporation, except that no
indemnification shall be made if such person shall have been adjudged liable to
the corporation, unless and only to the extent that the court in which the
action or suit was brought shall determine upon application that the defendant
directors or officers are fairly and reasonably entitled to indemnity for such
expenses despite such adjudication of liability.
 
Article Eighth of the Company's Amended and Restated Certificate of
Incorporation makes mandatory indemnification expressly authorized under the
DGCL for directors of the Company. With respect to officers of the Company,
Article Eighth of the Company's Amended and Restated Certificate of
Incorporation provides indemnification to such extent and to such effect as the
Board of Directors shall determine to be appropriate and authorized by Delaware
law.
 
   
Insofar as indemnification for liabilities arising under the Securities Act, may
be permitted to directors, officers and controlling persons of the Company
pursuant to the foregoing provisions, or otherwise, the Company has been advised
that in the opinion of the SEC, such indemnification is against public policy as
expressed in the Securities Act and is therefore unenforceable. In the event
that a claim for indemnification against such liabilities, other than the
payment by the Company of expenses incurred or paid by a
    
 
                                      II-1
<PAGE>   59
 
   
director, officer or controlling person thereof in the successful defense of any
action, suit or proceeding, is asserted by a director, officer or controlling
person in connection with the securities being registered, the Company will,
unless in the opinion of its counsel the matter has been settled by controlling
precedent, submit to a court of appropriate jurisdiction the question of whether
such indemnification by it is against public policy as expressed in the
Securities Act and will be governed by the final adjudication of such issue.
    
 
ITEM 16. EXHIBITS.
 
   
<TABLE>
<CAPTION>
      EXHIBIT NO.                                  EXHIBIT
<C>                      <S>
          2.1            -- Agreement and Plan of Merger, dated as of January 20,
                            1998, between Thermadyne Holdings Corporation and Mercury
                            Acquisition Corporation.(1)
          2.2            -- Amendment No. 1 to Agreement and Plan of Merger between
                            Thermadyne Holdings Corporation and Mercury Acquisition
                            Corporation.+
          2.3            -- Certificate of Merger of Mercury Acquisition Corporation
                            with and into Thermadyne Holdings Corporation.+
          4.1            -- Indenture, dated as of May 22, 1998, between Mercury
                            Acquisition Corporation and IBJ Schroder Bank & Trust
                            Company, as Trustee.+
          4.2            -- First Supplemental Indenture, dated as of May 22, 1998,
                            between Thermadyne Holdings Corporation and IBJ Schroder
                            Bank & Trust Company, as Trustee.+
          4.3            -- Form of 12 1/2% Senior Discount Debenture.+
          4.4            -- A/B Exchange Registration Rights Agreement dated as of
                            May 22, 1998, among Mercury Acquisition Corporation and
                            Donaldson, Lufkin & Jenrette Securities Corporation.+
          4.5            -- Amendment to Registration Rights Agreement dated May 22,
                            1998, among Thermadyne Holdings Corporation and
                            Donaldson, Lufkin & Jenrette Securities Corporation.+
          5.1            -- Opinion of Weil, Gotshal & Manges LLP.+
         12.1            -- Computation of Ratio of Earnings to Fixed Charges.*
         23.1            -- Consent of Ernst & Young LLP, Independent Auditors.*
         23.2            -- Consent of Weil, Gotshal & Manges LLP (included in the
                            opinion filed as Exhibit 5.1).
         25.1            -- Statement of Eligibility and Qualification of IBJ
                            Schroeder Bank & Trust Company, as trustee, under the
                            Indenture listed as Exhibit 4.1 hereto on Form T-1.+
</TABLE>
    
 
- -------------------------
 
 *  Filed herewith.
 
   
 +  Previously filed.
    
 
   
(1) Incorporated by reference to the Company's Current Report on Form 8-K (File
    No. 0-23378) filed under Section 12(g) of the Securities Exchange Act on
    January 21, 1998.
    
 
                                      II-2
<PAGE>   60
 
   
ITEM 17. UNDERTAKINGS.
    
 
(a) The undersigned Registrant hereby undertakes:
 
   
     (1) To file, during any period in which offers or sales are being made, a
     post-effective amendment to this registration statement to include any
     material information with respect to the plan of distribution not
     previously disclosed in the registration statement or any material change
     to such information in the registration statement:
    
 
   
     (2) That, for the purpose of determining any liability under the Securities
     Act, each such post-effective amendment shall be deemed to be a new
     registration statement relating to the securities offered therein, and the
     offering of such securities at the time shall be deemed to be the initial
     bona fide offering thereof.
    
 
   
     (3) To remove, from registration by means of a post-effective amendment of
     any of the securities being registered which remain unsold at the
     termination of the offering.
    
 
   
(b) The undersigned registrant hereby undertakes that, for purposes of
determining any liability under the Securities Act of 1933, each filing of the
registrant's annual report pursuant to Section 13(a) or 15(d) of the Securities
Exchange Act of 1934 (and, where applicable, each filing of an employee benefit
plan's annual report pursuant to Section 15(d) of the Securities Exchange Act of
1934) that is incorporated by reference in the registration statement shall be
deemed to be a new registration statement relating to the securities offered
therein, and the offerings of such securities at that time shall be deemed to be
the initial bona fide offering thereof.
    
 
   
(c) The undersigned registrant hereby undertakes to deliver or cause to be
delivered with the prospectus, to each person to whom the prospectus is sent or
given, the latest annual report, to security holders that is incorporated by
reference in the prospectus and furnished pursuant to and meeting the
requirements of Rule 14a-3 or Rule 14c-3 under the Securities Exchange Act of
1934; and, where interim financial information required to be presented by
Article 3 of Regulation S-X is not set forth in the prospectus, to deliver, or
cause to be delivered to each person to whom the prospectus is sent or given,
the latest quarterly report that is specifically incorporated by reference in
the prospectus to provide such interim financial information.
    
 
                                      II-3
<PAGE>   61
 
                                   SIGNATURES
 
   
Pursuant to the requirements of the Securities Act of 1933, as amended, the
Registrant has duly cause this Post-Effective Amendment to be signed on its
behalf by the undersigned, thereunto duly authorized on April 13, 1999.
    
 
                                            THERMADYNE HOLDINGS CORPORATION
 
   
                                            By:      /s/ JAMES H. TATE
    
                                               ---------------------------------
                                                         James H. Tate
                                                Senior Vice President and Chief
                                                       Financial Officer
 
Pursuant to the requirements of the Securities Act of 1933, as amended, this
Registration Statement has been signed below by the following persons on behalf
of the registrant and in the capacities and on the dates indicated.
 
   
<TABLE>
<CAPTION>
                        NAME                                   TITLE               DATE
<C>                                                    <S>                    <C>
 
                /s/ RANDALL E. CURRAN                  Chairman of the        April 13, 1999
- -----------------------------------------------------    Board, President
                  Randall E. Curran                      and Chief Executive
                                                         Officer (principal
                                                         executive officer)
 
                  /s/ JAMES H. TATE                    Director, Senior Vice  April 13, 1999
- -----------------------------------------------------    President and Chief
                    James H. Tate                        Financial Officer
                                                         (principal
                                                         financial and
                                                         accounting officer)
 
                 /s/ PETER T. GRAUER                   Director               April 13, 1999
- -----------------------------------------------------
                   Peter T. Grauer
 
             /s/ WILLIAM F. DAWSON, JR.                Director               April 13, 1999
- -----------------------------------------------------
               William F. Dawson, Jr.
 
                /s/ JOHN F. FORT III                   Director               April 13, 1999
- -----------------------------------------------------
                  John F. Fort III
 
                /s/ HAROLD A. POLING                   Director               April 13, 1999
- -----------------------------------------------------
                  Harold A. Poling
 
             /s/ LAWRENCE M.V.D. SCHLOSS               Director               April 13, 1999
- -----------------------------------------------------
               Lawrence M.v.D. Schloss
</TABLE>
    
 
                                      II-4
<PAGE>   62
 
                                 EXHIBIT INDEX
 
   
<TABLE>
<CAPTION>
      EXHIBIT NO.                                  EXHIBIT
<C>                      <S>
          2.1            -- Agreement and Plan of Merger, dated as of January 20,
                            1998, between Thermadyne Holdings Corporation and Mercury
                            Acquisition Corporation.(1)
          2.2            -- Amendment No. 1 to Agreement and Plan of Merger between
                            Thermadyne Holdings Corporation and Mercury Acquisition
                            Corporation.+
          2.3            -- Certificate of Merger of Mercury Acquisition Corporation
                            with and into Thermadyne Holdings Corporation.+
          4.1            -- Indenture, dated as of May 22, 1998, between Mercury
                            Acquisition Corporation and IBJ Schroder Bank & Trust
                            Company, as Trustee.+
          4.2            -- First Supplemental Indenture, dated as of May 22, 1998,
                            between Thermadyne Holdings Corporation and IBJ Schroder
                            Bank & Trust Company, as Trustee.+
          4.3            -- Form of 12 1/2% Senior Discount Debenture.+
          4.4            -- A/B Exchange Registration Rights Agreement dated as of
                            May 22, 1998, among Mercury Acquisition Corporation and
                            Donaldson, Lufkin & Jenrette Securities Corporation.+
          4.5            -- Amendment to Registration Rights Agreement dated May 22,
                            1998, among Thermadyne Holdings Corporation and
                            Donaldson, Lufkin & Jenrette Securities Corporation.+
          5.1            -- Opinion of Weil, Gotshal & Manges LLP.+
         12.1            -- Computation of Ratio of Earnings to Fixed Charges.*
         23.1            -- Consent of Ernst & Young LLP, Independent Auditors.*
         23.2            -- Consent of Weil, Gotshal & Manges LLP (included in the
                            opinion filed as Exhibit 5.1).
         25.1            -- Statement of Eligibility and Qualification of IBJ
                            Schroeder Bank & Trust Company, as trustee, under the
                            Indenture listed as Exhibit 4.1 hereto on Form T-1.+
</TABLE>
    
 
- -------------------------
 
   
 *  Filed herewith.
    
 
   
 +  Previously filed.
    
 
   
(1) Incorporated by reference to the Company's Current Report on Form 8-K (File
    No. 0-23378) filed under Section 12(g) of the Securities Exchange Act on
    January 21, 1998.
    

<PAGE>   1
                                                                    EXHIBIT 12.1

                        THERMADYNE HOLDINGS CORPORATION
               COMPUTATION OF RATIO OF EARNINGS TO FIXED CHARGES
                                 (IN THOUSANDS)



<TABLE>
<CAPTION>
                                                                                                                          Eleven
                                                                 Years ended December 31,                               months ended
                                          ----------------------------------------------------------------------        December 31,
                                               1998             1997                 1996                1995               1994
                                          -----------         ---------           ----------         -----------        ------------
<S>                                       <C>                 <C>                 <C>                <C>                <C>
Earnings (loss):
Income (loss) from continuing
  operations before income taxes
  and extraordinary item                  $   (34,760)        $  28,544           $  (63,473)        $  (123,330)        $  (80,805)
Fixed charges                                  68,027            50,031               50,887              48,315             45,364
                                          -----------         ---------           ----------         -----------         ----------
  Earnings (loss)                         $    33,267         $  78,575           $  (12,586)        $   (75,015)        $  (35,441)
                                          ===========         =========           ==========         ===========         ==========


Fixed charges:
Interest expense                          $    62,151         $  45,325           $   45,655         $    41,269         $   39,124
Amortization of deferred financing              2,700             1,587                2,711               4,860              4,207
  costs
Rent expense                                    3,176             3,119                2,521               2,186              2,033
                                          -----------         ---------           ----------         -----------         ----------
  Fixed charges                           $    68,027         $  50,031           $   50,887         $    48,315         $   45,364
                                          ===========         =========           ==========         ===========         ==========

Ratio of earnings to fixed charges                0.5               1.6                  N/A                 N/A                N/A
                                          ===========         =========           ==========         ===========         ==========

Deficiency of earnings available
  to cover fixed charges                  $   (34,760)              N/A           $  (63,473)        $  (123,330)        $  (80,805)
                                          ===========         =========           ==========         ===========         ==========
</TABLE>

<PAGE>   1
                                                                    EXHIBIT 23.1


               CONSENT OF ERNST & YOUNG LLP, INDEPENDENT AUDITORS



   
We consent to the reference to our firm under the caption "Experts" and to the 
use of our reports dated February 22, 1999, in the Form S-3 Registration 
Statement and the related Prospectus of Thermadyne Holdings Corporation, to be 
filed with the Securities and Exchange Commission on or about April 13, 1999.
    


                                        /s/ ERNST & YOUNG LLP



   
Orange County, California
April 13, 1999
    


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