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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 26
# Folio 16r, page id 00068239:0031
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C
differentiam inter Logarithmox suoientis et fractionis
vocabo E. Erit Lagarithmus scis quotiens
e
aequ Erit la aequ. lf = E. Jam f aequ. lD. 1d. Ergo fiet:
Ergo
Cq aequo ld - ld - E. Iam logarithmus quotientis additus ad logarithmum
divisoris erit
erit logarithmus differentiae inter residuum et numerum. Nam
Si logarith qualientis quotiens ducatur in divisorem, productum sub–
trahatur a dividendo habetur residuus, per definitionem supra
dictam. Ergo si logarithimus quotientis d - ld - E addatur
logaribhmo divisoris ld habetitur differentia residui a dividendo.
itaque quaeeratur
e
O
in labula. n 1d -E
egu D - n ID -E
jam Rugu Y hoc modo pertabulam Logarithumorum inventus fia t(d)
et S fiat (D). et habebitur: (Y) aequ. (D) - n l(D, -E. vel
Y) aequ. d - n lS = (5). sed (E) aequ. l (0) - 1(5) - 19)
Ergo uti Yaequ. D - n l5 + t tD - lS
ita fiet
(Y) aequ (D) = n (,5, + + 1(D) - 1(5, sensrt, d - n Ir + t15 - Ir
seu ita invenpi posse communem seu (1) aequ. d - n (∞ D - n 15 +
b
15, +1D - 1d=E aequi seu erit lD =E. qui
ile
et porro progrdiendo fiet. Seu (Y) oqu d= n 1 
seu rn D -C
b
7(V7
et ita porro, continuando, donee ficit r ultimum aequ. 0. quod
an fiait exacte mox patebit. Quo facto proxime
precedens erib
maxima communis mensura. Sacile autem 2d partebit ab
continuum decrementun. Possumus ergo invenire communes
ur autem mensuras invenire per logarthmos non difficulter