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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 173v, page id 00068199:0346
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ideta
sit aequatio.
V= -10Z + 2022 + 308, + 407) + 50Z
et t ezi quaeritur valor ipsius Z ex y per seriem.
106-
y = 101 y + 102 yy + 103y +104y+ 105 y Cte
siet et =  102 B = 20. 101  10
1012 70 102 = 20. 101 corn. 103 =
104
et
scribatur
2. 20101. 102 + 30. 101
10
12,4 20. 1011 103, + 29. 102. 102+3, 30, 10,1. 102 + 40. 1013
l0s =
(450. 1013
101, 101. 103
44, 40- 101.102
2. 20 101. 104 + 2. 20. 102 (83 + 3, 30. 101703 + 3.30. 101. 102. 102 + 
2. 1. 610
(2. 20.101. 105 + 2. 20. 102. 104 4 20. 103, 103 +6. 30. 101102. 103 + 3.30. 10r 10. 104 +30. 107
105=
 + b. 40.105. 102 + 4. 40. 1013. 103 + 5. 50. 101. 102 + 60. 10j
Megula continuandi in infinitum haec est, ut valoribus Numerorum majorum
n
datu
102, 103, 104 etc. Inveniendis ad hibeantur. numeri 20, 30, 40,
aequationisd, et quibis horum numerorum nultiplicetur per formam
faectam ex literis na Ex. gr. in . valore 104 primum ad hibeatur
20, deinde 30 etc. adhibi 20 autem multiplicetur  quoties fieri
majoribus conflatam  tali lege
2 2 est nota sinis
et in forma ut notae dextrae in unum et addita faliant 4 quia nota dexit humeri 104
numenquia
cujus valor quaeritur est 4 . d, Sic quia 4 divilli potest in duas
potest pereforcur onco
ut forma ascentar ad
puites l et 3, et 2 est 2, hinc 20 maltiplicabitur per 101. 103, et
per 102. 102 et fit 2. ipsi autem 20. 101103 prae figitur numerer
verus 2, qui est numerus variationum formae 101. 103. quia scribi potest
habemus ergo +2. 20. 101. 103 +20, 102. 102
inde pergamus ad 30. Ergo ob3 in 30 forma consungenda erit trium dimer
sionum, et notae ejus suristrae con dextrae conflabunt4, (ob notam 4 in C04
lo1. 103 et 103. 101
ergo  seu a divelli debet in tres partes quoed uno solo modo
fieri potest 102 102. 10+ 11, 1 + 1 + 2, ergo forma erit 101. 10l. 102
quae forma cum lim variari possit 3, ficibus faciendo 101. 101. 102 et
101. 102, 10, et 102. 101. 101 pra praefigetur 3, et fiet 3. 30. 101 101 103
denique totus, vater sice
104 =
confentum duidatur per co,
et
fiet
P. 26 10 [. 103 + 20 162.102 43. 30. 10(. 102
=A 2. 28
104 -3
4. 20 + 20 + 3. 3020 = 4. 1020 + 20 + 3. 10.2030
102. 101 = +o 102= 2
104 =
Dc =
10
1 10.
= 103