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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 292r, page id 00068201:0583
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itu nnceic
en
oprantiae paginu
b +cy ady ete
re
22co 32 estu
212
+7
+a
e
13. 2c0
e
scutament
febr. 479. C
Erit
extrema perfectio
X =X aequ. V
X aequ. +b3 + 3b2 + 3b8y + 3bcy + bb.dy + 3bd1) + 13
LX
aequ - b - C..- d..
H
sit jam  aequ. m + ny + pV. ex.
v
W
e+W
2W
a aequ m + 2mnV + 2mp ) + nB + 2npY + pV)
Verum comparatio sic non ila commode procedit
itaque necesse est potius loco L. co. etc. sumeri numeros
ordire.
Necesse erit pouere m vel b. aequ. 0.
alioqui nova gem oritur difficultas cirea Terminum
primumiid est absolutum; Notandum et problema
replicaretur; in se ipsum.
e
eus ita proademis:
sint dua nvetones indetinte:
plima viarum haec est:
datur aequatio X- X aequ  niri duae sunt inognitae, fingantur
duae aequationes ex quibu hac simplices, ex quibus exaltatis
haec componenda est. Nimirum fiatum
sed ut deprimatur
Q quo ad  licet ponamus: E aequ. ex..
x = 1 aqu. C X
fies:
imo ampliqu fier. X - e X 4 C aequ C + 1
Ergo desideratur, ut: C + 1. sit quadratus ponamus:
x + 1 aequ. fe, fiet: f, X=1 aequ. e x ponatur f aequ. gX. fiet:
X 41 aequ. 9 ex, et X + 1 aequ C. Ergo X aequ  + 1 aequ 
XCCe  x f aequ 4 == debet esse quadratus. Ergo
a+ bZ+cZ +473
debec esse quadratus
de-
ertatu
sent
meb
imo difficultates sux
versa. Itaque aditus ad aequaltou rectangularium solutionem. et perfectioque artis conorp
sit X aequ