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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 143r, page id 00068199:0285
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dya 10
0 = dy + 10 3 dub 20 = dydus H Cos
Sit data aequatio du  dydus=
-10. 10 = e
O= dy + 10, dy + 20,  = dy du + 10 dy + 10. 20 E y
20
10010-210
fiet dydus + 1ody +1(10. 10 + 2. 10.20) - 1(10. 10- + 2010.20) - 10. 20 - 2020
seu d dy + 10 = = 10 4,20,: 2
a0
et 20. 20
AG 1 10y + 1dy +12, 20y +81 dy + 22
abit
s
20.. A 20. 20
= 0 dube
 yy + 10. 20yy4 10. 28y 4 1]. 21 dydy + 11. 22 dy 4 10. 2l ydy +12. 22
+12 21 du 11. 20 y dy
Ergo
(2. 201)
iat 22 = - 12. 20: 10 = ( - 12. 21: 11 et 11. 20 = 10. 21 seu -
e
possumus restant 10. 2099 4 11.11. 20 dydy + 211. 20 ydy  - 12. 12. 20 =0
3
10
quae aequanda est datae multiplicatae per arbitrariam 0 30. 50yy + 31. 5odydy +3250y d 5)
fiet 3050= 10 20 50 = 10. 20: 30 = I1. 11, 20: 10. 31 fit 10. 10, = 11. 11. 30. atiue
10
Rursus 50 = 10. 20: 30 =  2. 11. 20: 32 fret 10. 32= 2. 11. 30. vatur trum
estat et fiet yt: 3) = + (31.30)
e
sa
32: 2.30 resta t 10. 20: 30 = - 1232.20. 12
a
Tantum ergo efficiendum est, 
32. 32. 30(30) seu 32 = 2 1(36.31). Frane
= (8. = 10,10. 32. 30
30
ut sit 431. 30)
Videnmus an hoc modo transformare liceat datam
sit
py, et
data 40 VV + 41 av dv + 42 vdo + 43 = frat Y
au-ex ay +pdy
fiet 40 ppyy + alspdydus 12 a Ipdp ydy + 4. 3W 30yy + 31 dy dy +32y ly +3)
d
Al apap G
42pdpgys +
+ pso ydy
sed hoc praectare paulo
C
difficilius ut sit 32.323. 30
_ yd 12 = a 10B d + 1 = 0 fia
 et av = dpH + pdus Ergo fit 10 x ap yy + ppydu
V = P
et