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    Re: Towards a basis for Bruce Stark's Tables
    From: Dan Allen
    Date: 2003 Jan 3, 19:02 -0800

    On Friday, January 3, 2003, at 04:55 PM, Bruce Stark wrote:
    > I can't seem to find my book of trig and log tables by Gauss. But as I
    > recall, the author's initials were not the same as the more famous
    > Gauss.
    > Still, though the addition and subtraction logs may have been
    > published by a
    > Gauss-number-two, Gauss-number-one may have invented them. I'd like to
    > know.
     From http://100.1911encyclopedia.org/L/LO/LOGARITHM.htm:
    Addition and Subtraction, - or Gaussian Logarithms.�Gaussian logarithms
    are intended to facilitate the finding of the logarithms of the sum and
    difference of two numbers whose logarithms are known, the numbers
    themselves being unknown; and on this account they are frequently
    called addition and subtraction logarithms. The object of the table is
    in fact to give log (a~b) by only one entry when log a and log b are
    given. The utility of such logarithms was first pointed out by Leonelli
    ma book entitled Supplement logarithmique, printed at Bordeaux in the
    year XI. (180213); he calculated a table to 14 places, but only a
    specimen of it which appeared in the Sup plCment was printed. The first
    table that was actually published is due to Gauss, and was printed in
    Zach�s Monatliche Correspondenz, xxvi. 498 (1812). Corresponding to the
    argument log x it gives the values of log (I +x_i) and log (I +x).

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