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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1
# Folio 67r, page id 00068194:0133
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in prima im Euclidis duo sive demonstratone
et postulatione assumuntur primo duos circulos centris
ep tramis rectae, interrallo ipsa recta descriptos se
secare secundo si se secent; punctum intersectionis
cadere intra rectam poductm primum sequi
tur ex hac generali propositione. Si continuum
partem habeat intra figuram partem extra secat
tigniam occurrit figurae in aliquo pu circum-
ferentiae ejus in aliquo puncto. Nam partis i
cum continuum  pars intra et purs extra figuram
de
habet partem commune punctum, ut quicquid
commune est extra et intra figuram existenti
codit in ejus circumferentiam. ergo punctum aliquod
continui cadit in figurae circumferentiam. Est autem
circulus figura uulique clausa, quae punum in
hias partes dividit, quam a plano absciudit et totum
raliquum planum. Quod secundum attinet
o  intersectionem inorum circulorum non cadere
ins rectam per centra circulorum aequalium ex
ex recta radio, rextremis centris descriptorum
non cadere in rectam A ex eo patet, quod
non dantur tria puncta aequidistantia eri
utra
in eadem recta, quorum unum quodois ab
literdistet. Sed
am dertio cetliquori
videamus jam quomodo problema hoc curisina sequina
it a ut
s recta AY B sit AYB ∞ AY + YB = AB
(u AYB sit recta) sit BYC ita AB 
sit RY t sit AV A Y B et AYFYB AB
sit BF et AY AB sit AY et F sit
ABLA(B) sit AY B et A(B) = AB. Denique
set e B. sit  D planum in quo
L.  ita ut AL _AB; et , ita ut
AM (- AB et N ita ut AN H AB.
omne  est vel L vel X vol N.. Rursus
in P sit R ita ut DR BBA. et 5, ita ut BSL BA
et Y ita ut BT p BA erit omne punctum
Ergo omne P, vel R vel 5 vel . jam omne Aest 
A aliq. M est B ergo B est P et B est R Ergo al. Mest R
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