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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 154r, page id 00068199:0307
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5+ 10 + 11 3 + 13 dy =0
Z
et prodit
sit L=
21y +20
31y +30
+ 3D d21 y + 39 21 dis + 30d20
(3. 21 y dy) = 20d30y = 20l3 dy  20 d30
+Y. 21. 319y + 1I. 21. 30y + 11. 20. 30
20. 31
=20 d31 7
2. 31d219y + 12. 31d20 y + 12. 30d20
= 12. 21 431 11 + 12. 30d21 7 12. 20430
= 12. 21d30 y
a
_ 5e =51 et 50- 
d52 V +-
+ 12. 20.21 dy
- 12. 20. 31 des
Feglalea
+130d2I dys
t
2d50 dy
00yu +41) + 40 +42dus =0 quae cune tiplietur per 12.00
= 12. 20c31 y
sit jam datae aequatio
3 30, 3 d2 yy t 39. 21 ydy) + 34d20y
= 21d31
+ 10. 31. 3(y9 4 2. 10. 31. 30y + 10. 30. 30
17. 20a
er 0000. 1277-+ 00 o0. 12, 41y + 00. 12. 40 + 00. 12. 42 dy =0
31d20 + 30d21 - 21d30- 20d31 = 0042
dividatur aequatio exterminis absolutis in duas
et fiet
1
24 20
Le
30
c
a
il
+1. 30. 21 - 20. 31 = 00. 47
30d20 20d30 =0
et 1030. 30 + 11. 20.30 = 12. 40, 00
(4
V. at sit 31820 + 30 d21 - 21 430 - 20 d3)=
Dividatur rursu a dua, aequatio ex
per ext 9 3 ae gq. 2 r 3 habetur 20 et 30 et 2.10. 30. 31 = 11. 21. 30 +11. 20.31 =v 1y
per ag. 1. et 2 a_ habetur 20 et tolletur 30 et 31 ex aeg. 9
4
Ex sit 30 = 20a:C Ex 1 fit 20(4: C) 21 = 20. 31 = 00. 42. seu 3) -- 00 42 + 20a.: C) 21
42
(00: 20)
et fit 31 = (4: c) 21 = (00: 20) 42 et fint
(2: C ). 21d20 = (00: 24)92 d20 + 20 (a:C) 421) (21 (a: C) d20 - 20 (et: C) de ves dut 
qrdodro
20.W0
e 00. 42120 = 00. da2. 20. 6+ 00d20. 42
A: C) 21 d2o - (00: 20)42d20 + 20(a:C) d2) - 21 (a: C) d20 = 20 (a: C) d21 + 20 (00: 20) d42
=2D. W. I2 420: 20
et fit ((a: C) 2. 20 de0) - 00. 42 d2o (+ 20. 20 (4: C) d21 = 21. 20 (4: C) d 29 - 20 a: C) d31 + 20. 00 d - 42
qui calculus si veru foret, daretur 20, adeoque et 30, sed 31 nondatur
Ergo in aeq. 5 hab
nosi per 21. per aeq. 3 habeitur jam 10:12, per 11: 12.
sabstituendo 11212, restat 10: 12, per 21i3
s liaeremur in altima aequadepe
A liptentatio fieri pt at 10 +112 + 12dE semode un
poratur data, et videatur antinus fctmata reddi possit simplicier sumabilis
Qu ( qy 430)
se cunn