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# Title: Leibniz-Handschriften zur Mathematik LH 35, 2, 1
# Folio 200v, page id 00067993:0402
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d +
vel aposomos
si quis un divisiones per binomia in divisiones per simplicia
resolveret rem magnam praestaret, ut
b + c
invertatur ratio erit
b + c.
quaeratur ratio rationum; primum praeposita rave
vinomium puaeponente
H
b +c
boc fiet b+c b+C a = b + C.  - b +c + 2bc
a
c
a
a
B+c
a BtC
a
Deinde praeposita rade binomium postponente:
buc -
a b+C -
a
ar
b+ e
a--
b4C2 (2b btc
btc btc a b+c b +C +2bc 1bec X1 2tC bE B+C
e
Hinc intilis, in fallor e axis duci potest. Accidit nonnunquam, H
libenter velimus convertere a in btc sed non possimus,
b+c
a.
quia per consequens etiam alter terminus aequationis invertendus
esset, qui fortasse sic fieret et vicissim divisus per binomium
nullo lucro ut ad a d+ c = a Ergo b+C = 1
quod nobis saepe inusmodum ut expertus sum. btc
a atc.
En ergo methodum, ut invertere, et tamen oppositi in dersio
ne abstinere possis. Inverte ravem, et substitutam divide
per priorem, per productum multiplca altu terminum
aequationis manebit aequatio.
ut: d + e = a. Ergo b +c = d + e b + C + 2bc
b+C
seu dac db d re b+ c + 2bC= b +c 
seu dte b+c+ 2bC = b +c
a
seu d+e  b +c+ 2bc = ba tcb +C, a.
seu d+ e  b +c = a.
1
bte
la
Nota a- est Unitus divisa per b +C sirgo si oppositus
1+C
b+c malliplicetur
terminus, divid per terminum cundem btc. pro
a
prodctum d+ e, ea = +. Et d te = 1 et b+C - a.
+C
btc a ate
b+c = 1. Otc Ergo a= atebtC