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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2
# Folio 59v, page id 00068195:0118
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sit jam q aequ _  m. sit lZ aequ n lm seu fit
E aequ. n sIm. si jam m sit quantitas constans, eut
erit. dZ aqu dn lm aequ dz:
sit jam Z aequ m et W aequ Y m nit du lmaequ dz: M et
-dn ln aequ. du. m s _ Ergo dZ aequ an Im M et duaego du lm n
sit jam X aequZ+ W et _( M aegu. +
V
12
 et n aequ. 329
et: de  dn aequ. dy: qo et du + di aequdx.
1+ Su
Ergo habenus dx aequ.  1-
dy
V2 3
is
12
+S
12
si faca eligamus posteriorem expressionem ipsius X quae etiam est
aptior, ubi habetur tam 1+ V-t quam 1 - S-1. Ret
taciemus q aequ m et W aequ h. et y+ Waegt.
et N aequo y: q, et m aequ. 1t sa et haequ 1= f-1
(2
12
2
et fiet dZ aequ du: lm. m et du aequ du. Ih. h
est autem dy du aequ dy: 9 et dx aequ dz + d N.
Ergor fiet 4
quoniam
de
 aequ.
dy
l.1+-P= EI2 (0)Ss
Il s2
1+ s1 in + ut F 1- S.1 facit 2 Hinc 1- s-1 aequ=
et loqs 1- s-1 seu l1 - s-1 aequ l2 = l1 + s-1
scribi potest
vel 
EX
dy
aego
l1+ s lqe Cy I et Sac
1+ 8at = = 12
y1. 1tS
se
12
y
4
1- Lat
se
+
.Ergo et
l. +s+ LI2
1+S-1
sit jam yaequ 9. fiet dx aqu lig s. 1- t  S. 2. Posito ergo quadratura leu
dys
in hoc casu speciali, et existente dx hoc cafh aeg. 9
19
habita tangente lineae sinuum
dy
fiet 49: s.2 aequ l1+ s-1 = L2. licebit ergo amatri logarithmum ipsius