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# Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 15
# Folio 14r, page id 00068033:0027
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calculus differentialis Tronscendentis exponentis
aequ. = X + X + dx
jam generaliter s
co
ed
co-
2+ dque
12 con2
co-
X+b aequ. X + cd b X, +C0, c0 - 1, b, X +05o.1, co-2, b gC, ex
Ergo:
seu
a
Ataz
+a
2431
AX + Z,a7) dx. X
dx2 p (- X) .. . . . . . . .
L22+3-2
+Z+cZ, Zeqe - 1 dX, K
infinite parva
et quia q   aZ aequz.
V
hinc
destructo aZ ubi ipsi Z jungitur et de, ubi
ipsi dx. jungitur, fit:
2
d X aequ. Z.X de nulla facta
mentione ipsius de.
sit aequatio necesse est
sit tamen integra
faciamu
aequationem integram: sed quid si sit loco A
e
1
22 quantitas constans ut Y. non
de aqu.x
e
eti
hac ra tione exitus
set imorum cogrtandum est differentias quantitatu
progresionis glometria esse eliam progressio
onis geometriae.
sit Y
 aequ. y. erit
eut du
Ergo
dy
est.
a per
d rE aequod
2 ergo du  dz
e
fY aequ. Y du 8 adinat
= r3+ dZ + Y2EZ
Y. Est autem T, Nmerus principalis loperichinicae
2-1 phns
l7B7Y. BC
nta a 
Y2 + Y2
1
Hi
-111
1 de
pe
ytaz, 121 2
YE
Cle
itaque utile hoc casu jungere tre
ordinatas YL. Y2+dZ Z+2dZ
Z 10
b rus
100
mesicae
81