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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 90v, page id 00068201:0180
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26) Ponatur t X. et (34 XB
ex
fiet Aeq 25.
Video tamen hac methodo non diminui diniensiones ipsius X
cujus rei ratio est, quia omnes tres incognitae olucuntur in se
sic
quod evitari non potest; nisi eas ad altiores gradus dimen-
sionum attollere velimus; utar ergo artificio, ut arbitror
meliore Orvisionum:
Resumatur Aequatio (22)
ex +9 f BxgY F xt Y + + β + a q - x β + fβ + e) + (76)) +a) p
(2
dividenda per β+ + b7.
extqu +lq ut B +bY + Xt y + a9β- Xβ + f β + ey + a)7
sive rq
2
et +Y + +b)
Jam ut dividatur exacte..
faciamus + eY + aV
+ b7
t)re a t Xt + 24B. n ( +5
(20) Et exacte procedet divisio, fictq
b
extq + CxqY + xt V + tB + aq B- x(3+ fB + e) + b) f a) 
atloco P
(3t + b
nes+ l’a
Quia valor purus est, quoniam omnes -- l. b. e. a. sunt date.
ac proinde tuto ubique in locum ejus quantitatis X9, substitui potest
substituatur ergo in Aeq. 12, fiet
84) e (33 en 1) b - bt- et +at + t + ag + f- X
Substituatur idem valor in aequatione 14
35) ec (3). ella, fier: b + ob at (b(+ est a) C e) (= b + a) + x t ppo quod est absudium
lineus
Neque enim hicin nostra est prletate  palveroque pt parcie inculo
aequales: Quare mulandum est aliquid in suppositione 3
scilicet faciamus et ne possimus iterum deludi, novam adhibeamus
arbitrariam, sciliceto ex
faciamus;
+Y + a4( - x β + fβ +. eY 4 a)
e
jam ut dividatur exacte haec fractio, faciamus
ep  eY + ay = PY Jrea- p,  et 5
Ergo
o
X4 +
b)
+Xt) 1 agB- XB, fB+ p)
m solutio hoc redit. Namem quadrat inverore numem ( pequem aequatio (lex multiplicanda esst, vid. (20) alius
qui auctus tipto quadrat
et pedeas, s
ila
num (31)
X +
=Lb - Ve + Va +HID n c prodiomatum quadtatidum duaeum ncogio demonstrationem a nalysi non detecta. Sumto renim qualiber
30) fiet:
(31)
(31)