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# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 4
# Folio 81v, page id 00068049:0162
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(ubi X quaesita, a, b, c. da 6)
∞+a X+b, XtC aequanda quadrato; est trisitc
aequalitas fit X + a X + ab X + abc equ t
Xscub prox sribatur + my+ nn et fiet
( = ( y 4 3my + 3nn y4
ut
42
+ 3mmy +_ +3Ry
+mu +3m uny +3mnty +
+a V + 2amy + 2a un y
+ammy +ramny +an
Fab y + ab m y + ab A
equandale quadrato ab
quodent
y + 2pV + 299y +273
+ pB y+ 2pgy + 2r y
q
+ abc
+ g y + 197)+
jatepio
y + pu +9y+
arta colls
Habemus terminos aequandos sexo sed literas equaas imemenias
et per () 6
o
1)
4
tantum quinque giet m pi p 3M. 2Yyntantabn t abe
et pr 9 sit 94= Zun s+ 3nm + aL et per 5 fit 49 = 3mu +2a ma +abm,: 21
giqsum
e
et exen 3etq sis m n+ 2a mp S- 3M = = M + ab.
4
 (+16
1n
etu comnpendio quantilas aequanda quadtato scrbatur V + 1)V + 1Y +. B9 11 4) r
fEt PL HE fet ex Y, P = 11: 2 ex y fit 99 = 12: 2 - 1: 8. EIGui per 2
s (2)
fiet ex Y, r3 = 15: 12- n: 4 = (per Y Sib, adeoque per ex 4 fet
+
3
15. _ (: 16 17- 11. 12:2 +157. (16). Restat yh dunde fcet ex y
l
3 = 2. 15:, 12- 15:4 + 11. 12:E - 11~8, seu 13 = 2. 14 + 11 () 12- 11: 4, :, 12- 17: 9
Hae tres equave
1
=14.
superest Ex Y, 11. 15: 12 - 15: 9. + 12_ -11: 4(2,: 4
Y, e es sunt vsolvendae per m et _ et datas. pro compendio rqt= c
Let  s 416  et 19, 4.  1 H eC et ex 7 fiet 13=4 15+ 11C,: CC1+)
+
et
et
2 c
-TH- C
seu ( exirtiot ie e+ -, 11 e + 4. 14 24 )0. Ex 19 fic 4. H 15 = p. 13C- r IBCriiC
1. 13(10 
Eurgo ex 1 6, 17 fit N. 13 - 2. 1(. 13e
 et = 4. 15. 14 + 13.,
et ex 1o...-.2a, (, 1604
11. 16.13
10) 16 + 211. 13e. 1it. la opus jam in gna–
a9y. 10, 19, 21, explicare un ee, per quel 2, tum itl ps 18 b, 14, 1, 12, 13
+abX =
Tabe=
1 2
e
i
e