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# Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 30
# Folio 72r, page id 00068124:0143
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=cd. Ergo y. loqx = logco
log y = E Sdyrs et logco = t sdco: co
Ergo ysdr: q = Sdco:co et V: X) dx + scx: X) dy = deoi c
ex novo meo principro diffe-
rentiandi termi extremos terminos
seuAliter
peru intermedios negr X, seu deo=
diff. inter x a Xtex
diff (inter X et X+ ax), et disfe inter xtdx
priori
riferentia est
inter X et X+aXS. posito is bhanere constantem
+dy
et X+dxds
est.
jam qebe
X dus seu  X dy. posterior
differentia inter
yt du
X+ ax et X + dx
dy
esst Xtax.  Xtax. = 1. =X, X. -
y+ dy
dy
Ergo 2. inter X et X +ax 
c
seu
= X = L X dy + X (X 7 - 1) ade
y+dy
Ktax
Ergo
2 ded = 3 du + (X
C0
C
-
1). Unde
(dx
sequitur esse X. - 1 =  x dy)
dus
x in
ubi notandum abesse E subtangentialem
hoc calculo. cum alias repererim
tex = 1 = dx et