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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 13r, page id 00068199:0025
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dy = 10 + 11V
 fit ddus = d10 tdIL. y + 1du. E Unde tollendo y
fit ddy =. d 108 diL 10 + du dy + 11 dy sit do = dy = v de posita dx constante
fit du = deo- du 10 + du v + I1V  Si pro 11 ponas 11, et 10, V siut numer
non magnitudines fint. dro aldus = dio dxdx
. x adgatycex
ex x
sit dy: dx = X  = Z et ficet y = Xx = Xdy
ia
Ady = 2X IX - dy  X dx day  - X dy ddx se ady - 2x dx X - x adus
1
axax
sit  dy = vdx: a et ddys = dvdx. a, et fiat
a
C
. Vdx: a = 2xdx - X du ubi feliciter tollitur a
dy Cx =  XX + yy
dx
a
aa
ita
X a
sit B et pos
u x
potita ex constante
aa =  extyy, dx: dy
Ex aeus , faciendo  dy = e vdx:a, fiet deus = dodx: a
etsis d  (axdxvd - 4a Xax dudod + 4 xx d  = 4ded B: a - q px d  w: aa
ubi pro a comurdo valorem substulate YXX , yg, dxadus) in qua yn  Y, v, x Av, et valorem dus hinc ductum
vtterentiando habebitur aequatio, sine a, in qua v, lv, X dx sed verevrne sit identica
Si ubique alte assurgant litera affectiones et a poterit tolt a
faciendo y- vx: a
sit X) Y y =  et a
aaa
av
fint aequatio in qua Z et a utique salte affacgent et  x
et X = vyi
azaa sit aequatio data ag: dx = exiaa (C +97: aa
fiet Ex (a7 taa s2svdv + vV adq ( Z a v2
+ v
(a7- aa) quav , rhaq . (  2. 1) na (qu 22a)
Aet q = aW: v et fiat (aato Fagedxtvaa ds)
a
= eq non succedit ita
unim a quidem et q ibique aequaliter assagunt, sd ubi reperiantur, sed
i
(aan -aa) 2dv + vaa d
quibusdam terminis non extant
9 = g:a = (bzV  et x. a = va 1X
via
y. a = b3 et y: a verra y:a = sav: v
hy x = Xx+  dyv
x
na aa apdx
x + Qusf. au
aa
3
Xdys - ydx
ly dy