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# Title: Leibniz-Handschriften zur Mathematik LH 35, 9, 1
# Folio 27r, page id 00068125:0053
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 22v); this page is its right half.
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nam ex. E. agatur in. AD. normalis. EN. cum AF.. sit
dimidia ipoius. AB. erit AN. vel N. dimidia ipsiuo
AD, V. F. N. dimidia ipsius. BD. vel ipoivo CD. Cum er
g0 triangura. E. N M. 8. CD M. sint similia erit 8
N M. dimidia ipsius. D M. ergo tertia pars ipoino-
ND, Sproinde seala pars ipoins AD. ergo A Mideot
AN + NM, dimidia pars cum seara) duabus tertiio
ipsino AD constabit, est autem. AM. aequalis ipsi
Ci M, et ergo quadratum ipoiuo. A M, hoc est qua-
tuor nonae quadrati sub. AD. ae quantur triangulo
CEA H, minime ergo uerum est triangulum GAH).
eose dimidium trianguli. B AC, quod quadrato
Sub. AD. aequatur. uideo ergo Charine (nam intui
gratiam hanc demonstrationem potissimum attuli,
rectam. Cp M. A. non bisecare triangulum. BAC. _
proinde non esse. M. centrum magnitudinis, per
quod scilicet quaeuis recta duotatrianguli mag-
nitudinem bisecet sed hoc centrum deberet esse.
M. Si ullum eose posset quippe inquo pluresi
bisecantes jam se intersecant ad eoque sedeberent.
interse care omnes. ergo cenrrum magnitudinio in
hac figura non datur equidem si figure cenira
semper magnitudinio habuissent, pulchras-
inde duxisoem consequentias ad quadraturas,
sed frustrairascimur natura rerum 8 cum
in hio occupareo, hunc saltem inde fructum per:
cepi, ut agnoscerem nihie tale in rebus reperiri quavum
QVAR. profecto non Charino tantum sed e mihi, imo s
aliis credoremparadonam ostendiobi. LVB. fassuntur
qui purant scientiam semper tollere admirationem;
imo interdum auget. ego ipse, etiam post perspectam