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# Title: LBr. 361 · Hansch
# Folio 42r, page id DE-611-HS-970483:0085
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Specimen Novac Editionis Euclidis
in qua demonstrationes in suas proposi–
tionum series distincte reholvuntur et nexus
thesium cum hypothesi magis minusve imimediatus
suis numers designatur.
Sit demonstranda prina duodecimz
Hypothesis di (a) sint polygora similia
((2) eadem que inscribantur et
Ex gr. Sint polygona ABOFSHG
et LRCEMK3
er
e
t
erit pro
um polygonorum
duplicata proportio.
liametrorum
inter se ut AFad FC.
Demonstratio resoluta
. Si potygona sunt similia
2.  () arguli OBA  RC) aequales sunt 2)
((X) anguli OBA et RC) aequales sunt (2)
B) Latera OB, BA proportionalia late-
ribus RC, L3 C2) per des 1. VI.
Vipolygonorum proportio est duplicata pro-
seortionis laterum G2) per 20. Y1.
(B) latera OB, BA, proportionalia 2l erunt Ila OAB ce RL similia per 6. YI.
Nducantat AO, JR
3. Sibiingulus C aequalis est angulo R
(B) ducantur BF, et LC
(V polygona inscribantur circulo
I. Si polygona inscribantur circulo
5. Sipangulus BFA aequalis angule LC4 6.
B) angulus FBA aequalis angule CL+ 4
6. Si omnes tres anguli cequales sunt 7
 Si (2)BA. L3: AF. dC
proportio polrgonomm est duplicata propor-
tiones dueta laterum BA, L3
adeoque angulus O aequali R. 4
anguli BF A ee LC+ nidem insistunt
araibuss
conseq. equa les sunt 6 per 2. 1
anguli CL) et FBA sunt in semicirailo 2
consez. Sunt recti 3 per 31. I
conseq. aequales per ax. 10. 4
etiam tertius BAF aequalis est tertio L7C
per cor. 32. 1.
triangula F AB et CIL sibi mutuo sunt
equiangula S
Conseq. Similia per +. VI. 9
h. c. BA. L7 AF. +C.)
etiam est duplicata proportions dia-
metrom AF, 7C. 10.