Exhibit (a)(4)

                           Offer to Purchase for Cash

                     All Outstanding Shares of Common Stock

                                       of

                          Lifschultz Industries, Inc.

                                       by

                          Saltwater Acquisition Corp.
                      an indirect, wholly-owned subsidiary

                                       of

                              Danaher Corporation

                                       at

                              $22.80 Net Per Share

 THE OFFER AND WITHDRAWAL RIGHTS WILL EXPIRE AT 12:00 MIDNIGHT, NEW YORK
 CITY TIME, ON TUESDAY, JUNE 19, 2001, UNLESS THE OFFER IS EXTENDED.


                                                                    May 22, 2001

To Brokers, Dealers, Commercial Banks,
Trust Companies and Other Nominees:

   Saltwater Acquisition Corp., a Delaware corporation (the "Purchaser") and an
indirect, wholly-owned subsidiary of Danaher Corporation, a Delaware
corporation ("Danaher"), is offering to purchase for cash all the outstanding
shares of common stock, par value $0.001 per share (the "Shares"), of
Lifschultz Industries, Inc., a Delaware corporation ("Lifschultz"), at a
purchase price of $22.80 per Share, net to the seller in cash, without interest
thereon, upon the terms and subject to the conditions set forth in the Offer to
Purchase, dated May 22, 2001 (the "Offer to Purchase"), and in the related
Letter of Transmittal (which, as amended from time to time, together constitute
the "Offer") enclosed herewith. Holders of Shares whose certificates for such
Shares (the "Share Certificates") are not immediately available or who cannot
deliver their Share Certificates and all other required documents to the
Depositary (as defined below) on or prior to the Expiration Date (as defined in
the Offer to Purchase), or who cannot complete the procedure for book-entry
transfer on a timely basis, must tender their Shares according to the
guaranteed delivery procedures set forth in Section 3 of the Offer to Purchase.

   Please furnish copies of the enclosed materials to those of your clients for
whose accounts you hold Shares registered in your name or in the name of your
nominee.

   Enclosed herewith for your information and forwarding to your clients are
copies of the following documents:

     1. The Offer to Purchase, dated May 22, 2001.

     2. The Letter of Transmittal to tender Shares for your use and for the
  information of your clients. Facsimile copies of the Letter of Transmittal
  may be used to tender Shares as long as you submit an original signature.


     3. The Notice of Guaranteed Delivery for Shares to be used to accept the
  Offer if Share Certificates are not immediately available or if such
  certificates and all other required documents cannot be delivered to
  SunTrust Bank (the "Depositary") on or prior to the Expiration Date or if
  the procedure for book-entry transfer cannot be completed by the Expiration
  Date.

     4. The Letter to Stockholders of Lifschultz from the Board of Directors
  of Lifschultz, accompanied by Lifschultz's Solicitation/Recommendation
  Statement on Schedule 14D-9.

     5. A printed form of letter which may be sent to your clients for whose
  accounts you hold Shares registered in your name or in the name of your
  nominee, with space provided for obtaining such clients' instructions with
  regard to the Offer.

     6. Guidelines for Certification of Taxpayer Identification Number on
  Substitute Form W-9.

     7. A return envelope addressed to SunTrust Bank, as Depositary.

   YOUR PROMPT ACTION IS REQUESTED. WE URGE YOU TO CONTACT YOUR CLIENTS AS
PROMPTLY AS POSSIBLE. PLEASE NOTE THAT THE OFFER AND WITHDRAWAL RIGHTS EXPIRE
AT 12:00 MIDNIGHT, NEW YORK CITY TIME, ON TUESDAY, JUNE 19, 2001, UNLESS THE
OFFER IS EXTENDED.

   The Offer is conditioned upon, among other things, there being validly
tendered and not withdrawn prior to the expiration of the Offer a number of
Shares which represents at least a majority of the Shares outstanding on a
fully-diluted basis on the date of purchase.

   The board of directors of Lifschultz has unanimously determined that the
Merger Agreement (as defined below) and each of the transactions contemplated
thereby, including each of the Offer and the Merger (as defined below), are
advisable, fair to and in the best interests of Lifschultz and its
stockholders, approved the Offer and the Merger and adopted the Merger
Agreement in accordance with the General Corporation Law of the State of
Delaware (the "GCL"), and recommends that the stockholders of Lifschultz accept
the Offer and tender their Shares pursuant to the Offer.

   The Offer is being made pursuant to an Agreement and Plan of Merger, dated
as of May 15, 2001, among Danaher, the Purchaser and Lifschultz (as it may be
amended or supplemented from time to time, the "Merger Agreement"). The Merger
Agreement provides, among other things, for the making of the Offer by the
Purchaser, and further provides that, following the completion of the Offer,
upon the terms and subject to the conditions of the Merger Agreement, and in
accordance with the GCL, Purchaser will be merged with and into Lifschultz (the
"Merger"). Following the effective time of the Merger (the "Effective Time"),
Lifschultz will continue as the surviving corporation and become an indirect,
wholly-owned subsidiary of Danaher and the separate corporate existence of the
Purchaser will cease.

   At the Effective Time, each Share issued and outstanding immediately prior
to the Effective Time (other than (a) Shares held by Danaher, Purchaser, any
wholly-owned subsidiary of Danaher or the Purchaser, in the treasury of
Lifschultz or by any wholly-owned subsidiary of Lifschultz, which Shares, by
virtue of the Merger, will be canceled and retired and will cease to exist with
no payment being made with respect thereto, and (b) Shares, if any, held by
stockholders who have properly exercised appraisal rights under Section 262 of
the GCL) will, by virtue of the Merger and without any action on the part of
the holders of the Shares, be converted into the right to receive in cash the
per Share price paid in the Offer, payable to the holder thereof, without
interest, upon surrender of the Share Certificate, less any required
withholding taxes. If the Purchaser, together with Danaher, acquires, pursuant
to the Offer, at least a majority of the then issued and outstanding Shares,
which is a condition to closing the Offer, the Purchaser will have sufficient
voting power to approve the Merger without the approval of any other
stockholders, either at a meeting of stockholders or by written consent without
a meeting. If the Purchaser, together with Danaher, acquires, pursuant to the
Offer, at least 90% of the then issued and outstanding Shares, the Purchaser
intends to effect the Merger without a vote of the


Company's stockholders pursuant to Section 253 of the GCL. The Merger Agreement
is more fully described in Section 11 of the Offer to Purchase.

   In order to take advantage of the Offer, (1) a duly executed and properly
completed Letter of Transmittal (or a facsimile thereof) and any required
signature guarantees, or an Agent's Message (as defined in the Offer to
Purchase) in connection with a book-entry delivery of Shares, and other
required documents should be sent to the Depositary, and (2) either Share
Certificates representing the tendered Shares should be delivered to the
Depositary or such Shares should be tendered by book-entry transfer and a Book-
Entry Confirmation (as defined in the Offer to Purchase) with respect to such
Shares should be delivered to the Depositary, all in accordance with the
instructions set forth in the Letter of Transmittal and the Offer to Purchase.

   Holders of Shares whose Share Certificates are not immediately available or
who cannot deliver their Share Certificates and all other required documents to
the Depositary on or prior the expiration date of the Offer, or who cannot
complete the procedure for delivery by book-entry transfer on a timely basis,
must tender their Shares according to the guaranteed delivery procedures set
forth in Section 3 of the Offer to Purchase.

   Purchaser will not pay any commissions or fees to any broker, dealer or
other person (other than the Depositary and D.F. King & Co., Inc. (the
"Information Agent") (as described in the Offer to Purchase)) for soliciting
tenders of Shares pursuant to the Offer. Purchaser will, however, upon request,
reimburse you for customary clerical and mailing expenses incurred by you in
forwarding any of the enclosed materials to your clients. Purchaser will pay or
cause to be paid any stock transfer taxes payable on the transfer of Shares to
it, except as otherwise provided in Instruction 6 of the Letter of Transmittal.

   Inquiries you may have with respect to the Offer should be addressed to the
Information Agent, at the address and telephone number set forth on the back
cover of the Offer to Purchase. Additional copies of the enclosed materials may
be obtained from the Information Agent.

                                          Very truly yours,

                                          D.F. King & Co., Inc.

   NOTHING CONTAINED HEREIN OR IN THE ENCLOSED DOCUMENTS SHALL CONSTITUTE YOU
OR ANY OTHER PERSON THE AGENT OF THE PURCHASER, DANAHER, LIFSCHULTZ, THE
DEPOSITARY OR THE INFORMATION AGENT, OR ANY AFFILIATE OF ANY OF THEM, OR
AUTHORIZE YOU OR ANY OTHER PERSON TO MAKE ANY STATEMENT OR USE ANY DOCUMENT ON
BEHALF OF ANY OF THEM IN CONNECTION WITH THE OFFER OTHER THAN THE ENCLOSED
DOCUMENTS AND THE STATEMENTS CONTAINED THEREIN.