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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2
# Folio 32v, page id 00068195:0064
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si inspredarmu aequationes 4. 6 habetur soepius 2 per 3
+d - 4
sit f L  -
ao
per 6 fit = p- e 4 et
Ergo  per 7 et 8. fit: de +e
10) 
seu y p
Wo
seu y aequ. c-
X aequ.
d+c
d.  + etZ
d+ e
LP +et2
11)
et per 4 fit y aequ. A-x Z+  + c v.co
E+V x quae duo aequando 10 et 11. fit: V - co
v- co. Hos ipserum y et Z valores subestituamus
Z+1
 huc ex aequ. 5. fier. da
in aequationis 4. 5. 6.
dre
-c v.co
2+ 
et X quo rio quos ipsorum x et y valores inserendo
in aequationibus 5. 6. Hunc ex aqu. 5. fiet:
d+C -c
La etZ
0
L. 4 + 
co
+1
aequ. d. c
similiter fiet aequ. 6.
Compendio: d- X
ex 5.
ed
et ex 6. fer: t  et ncyt et 2 1
addamus aequ. 7. et 8. sit at e , d - Y
comp
C
ex aequ. 10 est y aequ. 4e0 C d+e cor
S.  V + er Z C0
p.
quaeramue, nunc punctum H. sit Hq R 4 et HRBY erit cy
quae etiam
aequ 4  r+C et CHaequ. Sgq + rr+ cc e f2er
ex hypothesi aequalis est ipsi HE. porro RN F RM seu H Q seu q. demto
vel addito M N sive X. ergo et _SH seq aequ BQ + EN
Ergo. HE erit. T+XN f) 2qX + rr + gy+) ery ergo fiet:
qq+ yr + CC = rer aequ g4 + XX (+) 29X+ rr + yy () ery
seu cc +2Craequ XX( + 29X + yy (+) 2ry. ut qua quidem aequatione X etu
duas habeat radices aquales in varias sunt. sed r et q. coincidunt sive
duas habent radices aequales. si jam ope aequationum sex priorum
tollantur x. y. aliaeque literae uhabebitur aequatio in qua
duae remanebunt indeterminatae riq. eaque aqualao eo
erit determinanda, quod ipsarum radices sunt aequales. habebitura
habenturque determinationes plurestuma, adebus depressio problematis
(+ qua haberi potest, quia itaque mulli itaque ipsa tractanda ut solemus
dnas, sunt jam dua aequationes Y + - 2  r - 2(Y + n aequ. 0.
et altera: 4 - 274 + 82 aequ. 0. multiplicentur per formulam
Y et q compositam ulcunque et in unum addantur habebitur aequaluo
comparanda datae taque comparare invenientur ipsae n et q
so est ipsae r et q