Cataneo, Girolamo, Hier. Cataneus de arte bellica, sive, de designandis ac construendis arcibus & propugnaculis, necnon & de iis oppugnandis, expugnandis ac propugnandis : de itinere exercitus, ac castrametatione, quando expediat manus cum hoste conserere, 1600

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146 dere, ſicq́; binos angulos formare, angulũ ſcilicet CDA,
9[Figure 9] &
angulum ADE: qui quidem bini anguli duobus re-
ctis ſunt æquales, ex decimatertia primi Euclidis pro-
poſitione.
Quilibet autem trianguli æquilateri angu-
lus æqualis eſt duabus anguli recti tertiis, quod appa-
ret ex eo, quòd cujuſlibet trianguli tres anguli duobus
rectis ſunt æquales, ex trigeſima ſecunda primi Eucli-
dis.
Præterea, ex eadem propoſitione, duo anguli DEA
&
EAD æquales ſunt duabus tertiis anguli recti: & , per
primam partem quintæ propoſitionis primi Euclidis,
duo anguli DEA &
EAD ſunt æquales: vnuſquiſq; er-
go eorum æqualis tertiæ parti anguli recti:
ſicq́ angu-
lus EAC tribus tertiis anguli recti æquipollebit.
Ergo
angulus rectus:
quod demonſtrandum ſuſceperamus.
OPERATIO III.
Data linea recta non terminata, & extra
eam puncto dato, ab eo puncto perpendicu-
larem ducere in dictam lineam.

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