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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 12
# Folio 9r, page id 00067971:0017
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Euclides in demonstrandis
Ecorematibus utitur persaepe
problematibus, cum non est
opus. Ex qci in ipsastatim
 der
libri priui estund
propositione quinta
demonstranda
re
et linea AE prooncta
infinitae a absci ubi opus est
b A
lin ex recta infinita AE
ab deversus E producta quantum
orus abscindit sum sumeno
opus habet ut ponat in recta AG ultra
G producta utcunque sumi AF posse
esse partem AF aequalem ipsi AD
tanc partem inesse ad demonstrationem
suflicit, etsi non actu designetur aut
abscndatur, quod praestare docet Euclides
tertiam praecedentem
per propositionem
Eodem modo procedra in prop. 6. et in
aliis multis. Ita in prop. 2. libri
tertii. Datur circulas ABC, et ponendum
jumendum est hujus centrum E,
latius sumi poterat existere i circulo
s
et ipsa refinitione. sed hoc ipsi non
e
id
satis; e ostendu savenit reopse hoc antram
jur propi praecedentem, quae est ima ejusdem
ex his intelligitur saepisse in
theorematum, dem onstrationibus allega–
ubs
tiones protlerna eritari potursse
et recte