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Euclid: Elementa

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eng
Q. E. D.
lat Clavius
Quod erat demonstrandum.

EX PROCLO
HINC perspicuum est, ab eodem puncto ad eandem rectam lineam non posse deduci plures lineas perpendiculares, quam unam. Si enim fieri potest, ducantur ex A, ad rectam B C, duæ perpendiculares A B, A C. Erunt igitur in triangulo A B C, duo anguli interni B, & C, duobus rectis æquales, cum sint duo recti, quod est absurdum. Sunt enim quilibet duo anguli in triangulo quocunque ostensi minores duobus rectis. Non ergo plures perpendiculares, quam vna, ex A, ad B C, deduci possunt. Quod est propositum.

COROLLARIVM
CONSTAT etiam ex his, In omni triangulo, cuius unus angulus fuerit rectus, vel obtusus, reliquos esse acutos, ceu monuimus defin. 26. huius lib. Cum enim per hanc propositio duo quilibet anguli sint duobus rectis minores, necesse est, si unus fuerit rectus, vel obtusus, quemcunque reliquorum esse acutum, ne duos angulos in triangulo rectos, aut duobus rectis maiores esse fateamur.
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