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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2
# Folio 55v, page id 00068195:0110
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Mt
V. Tabitissima deceptio calculi.
sit aqualio x+y= b ponatur
X= v+co et y = v co quibus
valoribus cal substitutis in aeq.1
fit , Cd +Coc0 + vD= bvco
Sit v=Z. fiet 2 +Z+ 2 =0
vautz. 1
unde est autem V =y: x
habetur ante ergo y. X. ratio
ipsorum y et x. aute autem
ex aeg. 1. habebatur summna,
Ergo invenimus valorem X et Y
quod est absurdum, uneque
nihil lnim aliud datum fuet
quam eorum summa. Unde ergo
objecio error? Benc enim calcu
lavimus? Resu non licet assumere
valores X ety tales, ut revera
ex uno tantum determinentur
nam per a p. 2 fit X = 1+ v:c0
et per 3 fit y = 1+ V: V ejus
omcaberi posit issi decandum
revera la
Uege cal in nanmeenn
pese
mons t ergusomatatorm.
uns addition du figucatorum.
qu roblematda in cipiendo a casibus simplicioribus
et ascendendo paulatim ad sefficiliores; fuit
methadus pensionarii
crnnus ere solita problemata, da dic incognita in
exponente  croint, solviren soncte, st
sgimivit en summas fractionum a quadralis.
et cubis zu findus
constructione quadam data, putat se eam
reduere posse X ad terminos suplicissim
unde patet servari legem
homogeneorum, quae et antea
servabatur nec proinde nos
merari aliquid, si ponamus
A. B. C. aequales. idque prae-
videri poteret quia patet esse
SA: Z +2 aequ B: 22 feu
BZ aequ
difficultas hic in calculo quod
positis A. B. C; aequalibus
non fit Z. infinita
sit enim
BB- 60. 1b
sin zaego  oB: 8.
sideremus BB- BB, ut BYB, B-
fieret Z aequ. 9. 2. B. ob. 6
seu Z
aequ 0B: 4 quae lame
consentiant. Haec ergo
cirea calentum infinitorum excu–
non
tienda dicigentius
con-