An account has now been given of Napier's invention and its publication,
the transition to decimal logarithms, the calculation of the tables by
Briggs, Vlacq and Gunter, as well as of the claims of Byrgius and the
method of prosthaphaeresis. To complete the early history of logarithms
it is necessary to return to Napier's _Descriptio_ in order to describe
its reception on the continent, and to mention the other logarithmic
tables which were published while Briggs was occupied with his
calculations.
John Kepler, who has been already quoted in connexion with Craig's visit
to Tycho Brahe, received the invention of logarithms almost as
enthusiastically as Briggs. His first mention of the subject occurs in a
letter to Schikhart dated the 11th of March 1618, in which he
writes-"Extitit Scotus Baro, cujus nomen mihi excidit, qui praeclari
quid praestitit, necessitate omni multiplicationum et divisionum in
meras additiones et subtractiones commutata, nec sinibus utitur; at
tamen opus est ipsi tangentium canone: et varietas, crebritas,
difficultasque additionum subtractionumque alicubi laborem multiplicandi
et dividendi superat." This erroneous estimate was formed when he had
seen the _Descriptio_ but had not read it; and his opinion was very
different when he became acquainted with the nature of logarithms. The
dedication of his _Ephemeris_ for 1620 consists of a letter to Napier
dated the 28th of July 1619, and he there congratulates him warmly on
his invention and on the benefit he has conferred upon astronomy
generally and upon Kepler's own Rudolphine tables. He says that,
although Napier's book had been published five years, he first saw it at
Prague two years before; he was then unable to read it, but last year he
had met with a little work by Benjamin Ursinus[9] containing the
substance of the method, and he at once recognized the importance of
what had been effected. He then explains how he verified the canon, and
so found that there were no essential errors in it, although there were
a few inaccuracies near the beginning of the quadrant, and he proceeds,
"Haec te obiter scire volui, ut quibus tu methodis incesseris, quas non
dubito et plurimas et ingeniosissimas tibi in promptu esse, eas publici
juris fieri, mihi saltem (puto et caeteris) scires fore gratissimum;
eoque percepto, tua promissa folio 57, in debitum cecidisse
intelligeres." This letter was written two years after Napier's death
(of which Kepler was unaware), and in the same year as that in which the
_Constructio_ was published. In the same year (1620) Napier's
_Descriptio_ (1614) and _Constructio_ (1619) were reprinted by
Bartholomew Vincent at Lyons and issued together.[10]
Public-domain text, read in full here on John Shaqi.
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