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# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 6
# Folio 24v, page id 00068051:0048
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 u diffecentialis eut m Z. v +n X v d 
quae quantitus dabit divisa per Zp
habit m v:
Comparand tum
dZ
+ n 
G m-e n-h -1
pus V. ZF dz + pr Z. V de. quo es dif. se p ZV
Et Gparando fit   = pa et n = pr et  = n.h et 9 = m - e
Es e seu h = pr - Y et e = pg- 9
c14
id ergo exequendo.
V disferentiaris erit puqu VE dq + pr ZE2 pN. 1
quo divisa per 
P9. 9 p. ~
V dabit q
dabit
Sit ergo
-1
pq Z. V dqu + pr Z V. do ut desiderabatur
P9 Z
-
y2
r-1
 v dz + pr Z V de = dy
adeoque
et p Z2p = X + a rursus pZV = y et fiel dx y = summabili,
Sed malum est, quod ita X et y dantur inter se, quia omnia redeunt
ad Z2V, tunquam umam quantitatem
a quontur quitisnam sit X. sit ex x = a ix logia
hatemus
ergo aquationes duas; unam A = X. alterum C. X = a log. a qua
duo non sunt
Qavraa X  ejus ciff est Pa dv: 2 sabtaa +. Sagiaa ax
quae multiplicate per sanraa dat LZadV + avdx + aadx si absuiset D  resfuiit in pde
An sic:  sec Z V +. Ejus diss est: a Z v . 2V. D +1 + m V.  Z dq
O = Z  ses v. + 1. d0 = Z e (C) v. +1 n v do + m Z Ie (v. +1 dz
dividatur per le-1) v + fietque 
 enz p dv + im Z v dZ + im Z = de
sed ita Rit vs non sucienit, nisi fieet e = 1. sed ita lC- 1) ∞a +1 = 1
adeoque re vera nulla sit mulliplicatio
ap: p  = ax sit p = _ ax rbu Cx+ Cy ergo dx = X+ Cy adx bilus - a Xbu Cxrcdus
X+C
ergo ax: p = ex +ey a ex +bdus - ax abys sx t caus rbE  Xay.   hedx- hC y
axabus +hoc Cx+Cy
ax + bydeX +C
Ergo dp. B +Y p = (X adx At X bduys) L(7 adx s+ Cy ledysC ax sx ( axctis - ly  ly e tg. hita  hecly a r anir 16c5 +
(CX a  ( dys + Cya d (+ C3bdus = axs) - axCdy - bigelxC Vscdys - Hax - hC dy + Y
 exbiq
- be du = hc dy +bC Xdy, = be yda + Y a Cx et. sed ita video  ob p additam assurgi
altra, ut non possunt solli melius:
20X + 21y+a
402 isra hoc addantuo jnvice
Hinc jam
p =, O: D. Ergu do = 3d0 8 - 0d3: _DD. Ergo, dp: p = B D 10 - O+3,: 0
uceum  id illud theorema eegans. si sit p = O: D et g - 85 et r = 2: 8, en
tique 0D= 86 - 24. EC fore dp: p + dg. 9 + dr: 7 = 310- C19 ,  a0- 8.  + _ 9 12- 2d9
et ita omnes isti habebiut per se coem divyorem
Xid et xab
Xta
21b