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# Title: Leibniz-Handschriften zur Mathematik LH 35, 15, 2
# Folio 37r, page id 00068204:0077
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SILLET A ROOT 17I4.
32G
Tiis praemissis, ex relatione inter XES 2 ad arbi-
erium assumpea, quaero y isto; quem sequentem vi-
des, modo.
Pro lubita sumatur 2 X = = 2, sive = X = = 2L.
Tum X + O (A B) prO X, C5 2 + O Y (A EB)
pro 2 subctituris, prodibit = in X3 + 3X0 + 320
ut O
Cex natura Curvae) 2 + 22OV t
OV. Ft sublatis (3X3 (522) equalibus, re-
liquisque per O divisis, restat = in 3X = 3 XO
1 O2 = = 22. V e Ov. Si jam suppones BB in
infinitum diminui (s, evanescere, sive 0 esse ni-
hil, erunt V Cs Y aequales, (s termini per omul-
riplicati evanescent; quare restabit= X 3 X X =
y
CZY, Sive Z
Duare e contra si X. = = 5
2LV, sive = ZX (:
DEMONSTRATIO.
Vel generaliter, Si
ve ponendo
12
M
mLn
B L BX aZ n. = - 2; si-
M + p C, C M + n = = P
c
Si
CX a = = 2, SivC CNXP = = 2 0. Tum X  O pro
X, C92. = OV (sive, quod perinde est, 2 + Oy
pron substitatis, prodit C= in XP nt POZP = 2 eC.
2+ nOy2_C. reliquis nempe terminis,
qui tandem evanescerent, omissis. Jam sublatis
n Xe e 2 aequalibus, reliquisque per Odivisis, re-
Atac