EXHIBIT 3.4

                           TRIMBLE NAVIGATION LIMITED


               CERTIFICATE OF DETERMINATION OF RIGHTS, PREFERENCES
                                AND PRIVILEGES OF
                     SERIES A PARTICIPATING PREFERRED STOCK
                          OF TRIMBLE NAVIGATION LIMITED

         The  undersigned,  Bradford  Parkinson  and  John  Goodrich  do  hereby
certify:

         1.  That  they are the duly  elected  and  acting  President  and Chief
Executive Officer and Secretary,  respectively, of Trimble Navigation Limited, a
California corporation (the "Corporation").

         2. That pursuant to the authority conferred upon the Board of Directors
by the  Articles of  Incorporation  of the said  Corporation,  the said Board of
Directors on February 3, 1999 adopted the following resolution creating a series
of 65,000  shares  of  Preferred  Stock  designated  as  Series A  Participating
Preferred Stock:

         "RESOLVED,  that  pursuant  to the  authority  vested  in the  Board of
Directors  of the  Corporation  by the Articles of  Incorporation,  the Board of
Directors  does hereby  provide for the issue of a series of Preferred  Stock of
the Corporation,  to be designated "Series A Participating  Preferred Stock," no
par value,  initially  consisting of 65,000  shares,  and to the extent that the
designations,  powers, preferences and relative and other special rights and the
qualifications,  limitations  and  restrictions  of the  Series A  Participating
Preferred  Stock are not stated and  expressed in the Articles of  Incorporation
does  hereby  fix  and  herein  state  and  express  the  designations,  powers,
preferences  and  relative  and other  special  rights  and the  qualifications,
limitations  and  restrictions of such series of Preferred Stock as follows (all
terms used herein  which are defined in the Articles of  Incorporation  shall be
deemed to have the meanings provided herein):

         Section 1  Designation  and Amount.  The shares of such series shall be
designated as "Series A Participating  Preferred  Stock," no par value,  and the
number of shares constituting such series shall be 65,000.

         Section 2 Proportional  Adjustment.  In the event the Corporation shall
at any time after the issuance of any share or shares of Series A  Participating
Preferred  Stock (i) declare any  dividend  on Common  Stock of the  Corporation
("Common  Stock")  payable  in  shares  of  Common  Stock,  (ii)  subdivide  the
outstanding  Common Stock or (iii) combine the  outstanding  Common Stock into a
smaller  number  of  shares,  then in  each  such  case  the  Corporation  shall
simultaneously  effect a  proportional  adjustment to the number of  outstanding
shares of Series A Participating Preferred Stock.

         Section 3         Dividends and Distributions.

                  (a) Subject to the prior and superior  right of the holders of
any shares of any series of Preferred  Stock  ranking  prior and superior to the
shares of Series A Participating Preferred Stock with respect to dividends,  the
holders of shares of Series A Participating Preferred Stock shall be entitled to
receive  when, as and if declared by the Board of Directors out of funds legally
available for the purpose,  quarterly  dividends payable in cash on the last day
of January, April, July and October, in each year (each such date being referred


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to herein as a  "Quarterly  Dividend  Payment  Date"),  commencing  on the first
Quarterly  Dividend Payment Date after the first issuance of a share or fraction
of a share of Series A  Participating  Preferred  Stock,  in an amount per share
(rounded to the  nearest  cent)  equal to 1,000  times the  aggregate  per share
amount of all cash  dividends,  and 1,000 times the  aggregate  per share amount
(payable in kind) of all non-cash dividends or other  distributions other than a
dividend  payable in shares of Common Stock or a subdivision of the  outstanding
shares of Common  Stock (by  reclassification  or  otherwise),  declared  on the
Common Stock since the immediately  preceding  Quarterly  Dividend Payment Date,
or, with respect to the first Quarterly  Dividend  Payment Date, since the first
issuance of any share or fraction of a share of Series A Participating Preferred
Stock.

                  (b) The  Corporation  shall declare a dividend or distribution
on the Series A Participating Preferred Stock as provided in paragraph (a) above
immediately  after it declares a dividend or  distribution  on the Common  Stock
(other than a dividend payable in shares of Common Stock).

                  (c) Dividends  shall begin to accrue on outstanding  shares of
Series A Participating  Preferred Stock from the Quarterly Dividend Payment Date
next  preceding  the date of  issue of such  shares  of  Series A  Participating
Preferred Stock,  unless the date of issue of such shares is prior to the record
date for the first Quarterly  Dividend  Payment Date, in which case dividends on
such  shares  shall begin to accrue  from the date of issue of such  shares,  or
unless the date of issue is a Quarterly Dividend Payment Date or is a date after
the  record  date  for the  determination  of  holders  of  shares  of  Series A
Participating  Preferred  Stock  entitled  to receive a quarterly  dividend  and
before such  Quarterly  Dividend  Payment  Date,  in either of which events such
dividends  shall  begin to accrue from such  Quarterly  Dividend  Payment  Date.
Accrued but unpaid  dividends  shall not bear  interest.  Dividends  paid on the
shares  of Series A  Participating  Preferred  Stock in an amount  less than the
total  amount of such  dividends  at the time accrued and payable on such shares
shall be allocated pro rata on a  share-by-share  basis among all such shares at
the time  outstanding.  The  Board of  Directors  may fix a record  date for the
determination  of holders of shares of Series A  Participating  Preferred  Stock
entitled to receive  payment of a dividend  or  distribution  declared  thereon,
which  record date shall be no more than 30 days prior to the date fixed for the
payment thereof.

     Section 4 Voting  Rights.  The holders of shares of Series A  Participating
Preferred Stock shall have the following voting rights:

                  (a) Each share of Series A Participating Preferred Stock shall
entitle the holder thereof to 1,000 votes on all matters  submitted to a vote of
the stockholders of the Corporation.

                  (b) Except as otherwise provided herein or by law, the holders
of shares of Series A Participating Preferred Stock and the holders of shares of
Common Stock shall vote together as one class on all matters submitted to a vote
of the stockholders of the Corporation.

                  (c) Except as  required  by law or as  required by Section 11,
holders of Series A  Participating  Preferred Stock shall have no special voting
rights and their  consent  shall not be required  (except to the extent they are
entitled to vote with  holders of Common  Stock as set forth  herein) for taking
any corporate action.

         Section 5         Certain Restrictions.

                  (a) The  Corporation  shall not declare any  dividend on, make
any   distribution   on,  or  redeem  or  purchase  or  otherwise   acquire  for
consideration  any shares of Common Stock after the first issuance of a share or
fraction  of  a  share  of  Series  A   Participating   Preferred  Stock  unless


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concurrently therewith it shall declare a dividend on the Series A Participating
Preferred Stock as required by Section 3 hereof.

                  (b)  Whenever  quarterly   dividends  or  other  dividends  or
distributions payable on the Series A Participating  Preferred Stock as provided
in  Section  3 are in  arrears,  thereafter  and until all  accrued  and  unpaid
dividends  and  distributions,  whether or not  declared,  on shares of Series A
Participating  Preferred  Stock  outstanding  shall have been paid in full,  the
Corporation shall not

                            (i)     declare or pay dividends on, make any other
distributions  on, or redeem or purchase or otherwise acquire for consideration
any shares of stock  ranking  junior  (either as to dividends  or upon  
liquidation,  dissolution  or  winding  up) to the  Series A Participating 
Preferred Stock;

                           (ii)     declare or pay  dividends  on,  make any 
other  distributions  on any shares of stock  ranking on a parity (either as to 
dividends or upon  liquidation,  dissolution or winding up) with Series A 
Participating  Preferred  Stock,  except dividends paid ratably on the Series A
Participating  Preferred  Stock and all such parity stock on which dividends  
are payable or in arrears in proportion to the total amounts to which
the holders of all such shares are then entitled;

                          (iii)     redeem or purchase or otherwise acquire for
consideration  shares of any stock ranking on a parity (either as to dividends 
or upon liquidation, dissolution or winding up) with the Series A Participating 
Preferred Stock, provided that the Corporation may at any time redeem, purchase 
or otherwise  acquire  shares of any such parity stock in exchange for shares of
any stock of the Corporation ranking junior (either as to dividends  or upon  
dissolution,  liquidation  or  winding  up) to the  Series A Participating 
Preferred Stock;

                           (iv)     purchase or otherwise  acquire for  
consideration  any shares of Series A  Participating  Preferred Stock,  or any
shares  of  stock  ranking  on  a  parity  with  the  Series  A Participating  
Preferred Stock,  except in accordance with a purchase offer made in writing or 
by  publication  (as  determined by the Board of Directors) to all holders  of 
such  shares  upon  such  terms  as the  Board of  Directors,  after 
consideration of the respective  annual dividend rates and other relative rights
and  preferences of the respective  series and classes,  shall determine in good
faith will result in fair and equitable treatment among the respective series or
classes.

                  (c) The  Corporation  shall not permit any  subsidiary  of the
Corporation  to purchase or otherwise  acquire for  consideration  any shares of
stock of the Corporation  unless the Corporation  could,  under paragraph (a) of
this Section 5,  purchase or  otherwise  acquire such shares at such time and in
such manner.

         Section 6  Reacquired  Shares.  Any  shares  of Series A  Participating
Preferred Stock purchased or otherwise acquired by the Corporation in any manner
whatsoever shall be retired and canceled promptly after the acquisition thereof.
All such shares shall upon their  cancellation  become  authorized  but unissued
shares  of  Preferred  Stock  and may be  reissued  as part of a new  series  of
Preferred  Stock to be  created by  resolution  or  resolutions  of the Board of
Directors,  subject to the  conditions  and  restrictions  on issuance set forth
herein and, in the Restated Articles of Incorporation, as then amended.

         Section 7         Liquidation, Dissolution or Winding Up.

                  (a) Upon any liquidation (voluntary or otherwise), dissolution
or winding up of the Corporation,  no distribution  shall be made to the holders
of shares of stock ranking junior  (either as to dividends or upon  liquidation,
dissolution or winding up) to the Series A Participating Preferred Stock unless,


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prior thereto,  the holders of shares of Series A Participating  Preferred Stock
shall have received fifty thousand dollars  ($50,000) per share,  plus an amount
equal to accrued and unpaid dividends and distributions thereon,  whether or not
declared,  to the date of such payment (the "Series A Liquidation  Preference").
Following the payment of the full amount of the Series A Liquidation Preference,
no additional  distributions  shall be made to the holders of shares of Series A
Participating  Preferred Stock unless,  prior thereto,  the holders of shares of
Common Stock shall have  received an amount per share (the "Common  Adjustment")
equal  to the  quotient  obtained  by  dividing  (i) the  Series  A  Liquidation
Preference by (ii) 1,000 (as appropriately adjusted as set forth in subparagraph
(c)  below  to  reflect  such  events  as  stock  splits,  stock  dividends  and
recapitalization  with respect to the Common  Stock) (such number in clause (ii)
of this sentence,  the "Adjustment  Number").  Following the payment of the full
amount of the  Series A  Liquidation  Preference  and the Common  Adjustment  in
respect of all outstanding shares of Series A Participating  Preferred Stock and
Common Stock,  respectively,  holders of Series A Participating  Preferred Stock
and  holders  of  shares  of  Common  Stock  shall  receive  their  ratable  and
proportionate  share of the remaining  assets to be  distributed in the ratio of
the  Adjustment  Number to 1 with  respect  to such  Preferred  Stock and Common
Stock, on a per share basis, respectively.

                  (b) In the  event,  however,  that  there  are not  sufficient
assets  available  to  permit  payment  in  full  of the  Series  A  Liquidation
Preference  and the  liquidation  preferences  of all other  series of Preferred
Stock, if any, which rank on a parity with the Series A Participating  Preferred
Stock, then such remaining assets shall be distributed ratably to the holders of
such parity shares in proportion to their respective liquidation preferences. In
the event,  however,  that there are not sufficient  assets  available to permit
payment in full of the Common  Adjustment,  then such remaining  assets shall be
distributed ratably to the holders of Common Stock.

                  (c) In the event the  Corporation  shall at any time after the
Rights  Dividend  Declaration  Date (i)  declare any  dividend  on Common  Stock
payable in shares of Common Stock, (ii) subdivide the outstanding  Common Stock,
or (iii) combine the  outstanding  Common Stock into a smaller number of shares,
then in each such case the Adjustment Number in effect immediately prior to such
event shall be adjusted by multiplying such Adjustment  Number by a fraction the
numerator  of  which  is the  number  of  shares  of  Common  Stock  outstanding
immediately  after  such  event and the  denominator  of which is the  number of
shares of Common Stock that were outstanding immediately prior to such event.

         Section 8  Consolidation,  Merger,  etc. In case the Corporation  shall
enter into any consolidation,  merger, combination or other transaction in which
the shares of Common  Stock are  exchanged  for or changed  into other  stock or
securities,  cash and/or any other property, then in any such case the shares of
Series A  Participating  Preferred  Stock  shall at the same  time be  similarly
exchanged  or changed  in an amount  per share  (subject  to the  provision  for
adjustment  hereinafter set forth) equal to 1,000 times the aggregate  amount of
stock, securities, cash and/or any other property (payable in kind), as the case
may be,  into  which or for which  each  share of  Common  Stock is  changed  or
exchanged.  In the  event the  Corporation  shall at any time  after the  Rights
Dividend  Declaration  Date (i) declare any dividend on Common Stock  payable in
shares of Common Stock,  (ii) subdivide the  outstanding  Common Stock, or (iii)
combine the  outstanding  Common Stock into a smaller number of shares,  then in
each such case the amount set forth in the  preceding  sentence  with respect to
the exchange or change of shares of Series A Participating Preferred Stock shall
be adjusted by  multiplying  such amount by a fraction the numerator of which is
the number of shares of Common Stock  outstanding  immediately  after such event
and the  denominator  of which is the number of shares of Common Stock that were
outstanding immediately prior to such event.

     Section 9 No  Redemption.  The shares of Series A  Participating  Preferred
Stock shall not be redeemable.

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         Section 10 Ranking.  The Series A  Participating  Preferred Stock shall
rank junior to all other series of the  Corporation's  Preferred Stock as to the
payment of dividends  and the  distribution  of assets,  unless the terms of any
such series shall provide otherwise.

         Section 11 Amendment.  The Restated  Articles of  Incorporation  of the
Corporation  shall not be further  amended in any manner which would  materially
alter or change  the  powers,  preference  or  special  rights  of the  Series A
Participating  Preferred  Stock  so as to  affect  them  adversely  without  the
affirmative  vote of the  holders of a  majority  of the  outstanding  shares of
Series A Participating Preferred Stock, voting separately as a class.

         Section 12 Fractional  Shares.  Series A Participating  Preferred Stock
may be issued in  fractions  of a share  which  shall  entitle  the  holder,  in
proportion  to such  holder's  fractional  shares,  to exercise  voting  rights,
receive  dividends,  participate in distributions and to have the benefit of all
other rights of holders of Series A Participating Preferred Stock.

         RESOLVED  FURTHER,  that the  President or any Vice  President  and the
Secretary or any  Assistant  Secretary of this  corporation  be, and they hereby
are,  authorized and directed to prepare and file a Certificate of Determination
of  Rights,   Preferences  and  Privileges  in  accordance  with  the  foregoing
resolution and the provisions of California law and to take such actions as they
may deem  necessary  or  appropriate  to carry out the  intent of the  foregoing
resolution."


         3. That the  authorized  number  of  shares  of Series A  Participating
Preferred  Stock of the  Corporation  is  65,000  and that no shares of Series A
Participating Preferred Stock have been issued.


         We further  declare under penalty of perjury that the matters set forth
in the foregoing  Certificate of  Determination  are true and correct of our own
knowledge.

         Executed at Sunnyvale, California on February 18, 1999.



                           /s/ Bradford Parkinson                             
                               Bradford Parkinson
                               President and Chief Executive Officer


                              /s/ John Goodrich                               
                                  John Goodrich
                                  Secretary



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