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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 29r, page id 00068198:0057
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Sit aequatio ipdy + 10 = 0 fiat 2 = 20+. 2 v + 22vV + 23VC
4 30+31V f32vV + 33V
dit de seu comnpendio y = O: D fit dy = DdO -OdD,: D)
seu fit 11D d0 - 110dD + 10 DD20
de = t 2D + d2c. V + d22. VV + d23. V3
+1. 21 + 2. 2V +3. 23. vV. +4. 24. ∞3
N. sub 10, 11, 20, 21, ete
30, 31 etc. laset X
rationaliter integre
qdd0 = d20. 30 + de1. 30V = d 32. 30 VV + d23. 30 V3 d24. 30Y
+11. YI. 21. 30dv 2. 22. 30ri 3, 23.38s 4.24. 30l 5. 25. 30dy
+ d2o31, d21.31.
Y1. 21. 31
2.22.314.
dro. 32.
1. 21. 32
d2c. 31.
3.23.3)dp
du. 32.
Z. I. 32
lro. 33.
l. 21. 3
eu
e
eto
Elis
d23. 31
4.4. 3U
d22. 32.
3. 23.32 di
d2133.
22. 33
d20. 34
l. 21. 34dis
et
L
edo , (a 30.20 + d. 31. 20 V  d32. 20 W
1. 31. 20dy. 2. 32. 20dy. 3.33.20d.
4d30. 21. d31. 21
1. 31. 2)dy. 2. 32.21 dy.
430. 22
1. 31. 22d
30.30 230. 31V
+2. 30. 32 W
x 31. 31 rB Eu
11. 21, 30  - 11. 31. 20 3030 =50
(Et fit 111d20. 30 = 11. d30. 20 + 10, 30. 30~40
conferendum hac productum datae do-4oravtarover vel simpliaate
sonsivt ele
vel (si non hnficiunt arbitiant )multiplicatae per formulam 60 +61 ∞ + 62 W etc
ta aeq. 2. potest smper uliciter nominator uno gradu esse inferior. nmgnator
Brevior, (in fallot hic cacculus quam s essam aeq. datam- av-Fo ei
 transmulassemus explivando V per y