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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1
# Folio 66r, page id 00068194:0131
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Recta Linea circul in pluribus
quam duobus punctis occurrere non potest.
aliqua
Si tria puncta circumferentiae circuli
su A. B. C sunt in eadem recta, erit
Demonstratio
unum ex ipsis ut C sui situs unicum
ad r duo reliqua A et B (ex defi
nitione rectae mea) jam centrum
circuli est etiam sui situs unicum
ntiae A. B. C
ad tria puncta circumfera
ergo cum C sitlonicum ad A. B erit
natura
et aX. Cex
etiam D unic. ad A. B. Ergo erit etiam
D in eadem recta per A1B. Sed Sed
impossibile est centrum circuli esse in
circumsirenti
eadem recta cum tribus cirli punctis
cum enim est nam nullum punctum
Anam ab uno quoque eorum aequaliter
distare debet; sed impossibile est autem
D sumi in recta, quod a
tribus, rectae punctis A, B, C aqua
punctura
liter distet. Sitit ex his dubbus punctis
maxime remota si enim AD DB
sit AC na Ex his enim Hiu punctis
sint inter se maxime remota A et C
erit AD dimidia AB, similiter quia AD = CD
erit AB) min
erit AD dimidia AC. aequales ergo sunt
B et AC pars et totum. quod est absurdum.