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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 92r, page id 00068199:0183
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068199&page=183
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F=1110000(1010100000100000
(13
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2d
e
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L∞I C
12 EIE 12 dy + 1D = 0 solvi poluss se supple dx 1 = =
sed si sit my +u2dy + 121Z+22 dZ + 100 = 0 
+
2
+
E  su =-
ieC
et euy+ 212 dy + 221Z + 212 dZ + 200 = 0  1eL   il +
opus foret simul Z et dZue solvi pesse. Faciamus y = v + pi Z
et fiet UIV + 12 dv + 11I AZ + +12 pdZ + 100 = 0
112 deZ 1224Z
121 Z
.Et similiter 2uV + 212d V + 211 NZ + 212 nd Z +200 = 0
212d p. Z 222 dZC
21
e
a 
 1le
EAECE
+2 +
X ∞
e+
3
c
E 5t dq = der + + pa
FEsi, 1A+ p
Ergo si I1IB + U2den + 121 = 211 (n + 212 d n + 221 prsummsponea 3122  =
112N 4 122
2121 + 222
sconsantem, ut
12+ L22I
1I fy L 112f hy +121 fZ + 122f dz + 100f
121 fZ + 122 fd Z
221 a Z + 222 a d2
121f + 221 a = 221g + 121a
122f + 22a
222c) + 122a
+ 121. 222 f9 + 221. 4g222 ag +122 ca
224. 122aa
+ 121 122 af
-221. 124fg - 121. ∞7 af lec
227- 222 a9 = 121. 222 aa
122H
22174
222d7 
222
et fint d+ sei ita d eranestit
fit f9 = aa. itaque nit hinc
Fquidsi 112 (M fI2E,: 1 = 21Z + 222C, 2
 Sptrmoa sit
nestit  nt222ge, : 212 evanescit 
e fit 1 deut ser et eam 5 et G
+ III. 212  ( +. 111. 222 (n (+ 112. 212 1d n + 112. 222 d p + 121. 222
1fgrS
121. 212 (n
= 112. 211 Mer 4 122, 211 n s 112. 212 nde) - , 22. 212 d n = 122. 221
H
-. 112. 221 n
efficiendum esset ut fieret 112. 212 = 1II. 212. Sed hoc ipsum est quod
quantur
fiat y = v + f(F et Z= gu+
112+ d nt + 112FMdt. + 100 = 0 Et eoiem modo pro ul ponendo 2
fit 11∞ + 112 dv + in1 fnt
si Aliter fiat 
fiet 11 V+ n Fao
121 V
=122 dv
simlliterque in caeferis numeris
1329d ut + 1229ndt  fieri debet HS (uI f +1219) p + 11 5 + 129) d M
1219nt
y2 L,
aj. 5-
(1125 + 1279)n
(= (21 f + 2e19) at 312f 222g) a B, sed ita evanescit pra
vient  gati (2125 + 2229) n etsi infants
+ 111 f p F
+ 1219,n F
 112 fdnt, - 12fn de
iagdet =12g de
=0 posito 100 et 209 fuisse destructa
et quia evanescit i ponamus = 1
fiat I11. f + 1219=
1124+1229
2I1f + 2219
212f+2229
seu + (II. 212 f + 111. 22259 4 121. 22299 =0. hine datur f: g
-21. F1L.. - 211. 12259 =221. 12299 lac eadem aequatio prodit
et 121. 2125
=2i. 112 G 4af si fiat solum 9 _v+ st
pek sC 9E. quid mostit
9
4
E
C = i
 0