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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 4
# Folio 21v, page id 00068217:0044
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X +3bX + 2b X + B = f aequ. 0
ejo
∞3
F + qX. +p
57
sit autem f - b aequ g -c
ent 3
eut b argo - 
36 aequ. q- 2C
3
3 gu Jugo
seu C aequ 9-
Eurgo f + L equ 2L -  + 9. 29 - f -r = 9.
faciamus qu - 29 - f - r aequ. 0. fici Yf agu 3 .L
unde habetur f et pro9 suibendo q. pro r rb
Ja = = q = f - r 13 aequo. 0. et ascendimus aid quaduto
quadraticam praeter opinionem, licebit simile quid in altroribus
tentare Id salstem hac ratione asseenti sumus ut illa alioqui
evanesestitia
perpetur resonsus arbitrariae potentiae radicem multiplicantis
sit Sevilata
pro quinto gradu sic pro cedemus.
XF - 5yX = + sy X - (v)
videndum quid si sumatur _ ex
diversis circulis horde
seu si eadem chorda sit circu
+b X x ∞3bd X, = Bb) aequ. o
+CX X = rec
B
27
Sa qxes A AV
aequ. 0.
iium diversorum er
arcuutus.
-5Y + b aequ 4 p.. Ergo V aequ 25. y - 10 by +6 5y -3bd
etct A
qu
qu aeque
Sed honc novisimon aunt
non possumus
ita dividea in duas quin itanc aequationem ta dividamus
in duas inonduas rc scribermus primo
25V - 07+67 - 10 by + 
aequ. 5Y- 21d.
seu  quam dividamus in duas:
25 y - dy
ny = ago EZ. seutrss y aqu D5.) seu  yt aequ 6s
-54.
+87 25 5- 59
est
autem  arbitraria supernumeraria restat - cobus + b aequ - 3bd
seu bV - 109D aequ - D y 45
+3dq..
Sive b- voy b + 100 s aequi L 100 D
+3dqt
e
seu pro pr. et y ponendo ejqvalorem fier.
b aeqo S1o Dp
= - 60dqD5 + 9d9 -4 B
13 2s susqu 255-54
debent erno  nclor ipsius  2
ususqu
60dy
Lit
+ 10D5
35- 5qu
d9
3d90
debent ergo tum valor ipsius y tum quod in vinculo continetur ac denique d∞
esse quantitates affirmativae Nestat ad Et e arbitaria.
sed jam video restare adhuc solvendum aequationem ex terminiis
a ultraris, ubi matum illud quod nullae ibo supersunt arbitrariae nnsi
A tunc uti velupus, quod tamen opinor frustra fiet
60djy