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Euclid: Elementa

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Euclid: Elementa
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Q. E. D.]
lat Clavius
Quod erat demonstrandum.

SCHOLION
EODEM modo demonstrari poterit hoc theorema.
TRIANGVLA æqualia inter easdem parallelas, si non eandem habuerint basin, super æquales bases erunt constituta.
SINT triangula æqualia A B C, D E F, inter parallelas A D, B F, & super bases B C, E F, quas dico esse æquales. Si enim non sunt æquales, sit B C, maior. Abscissa ergo recta C G, æquali ipsi E F, & ducta recta G A; erit triangulum A G C, triangulo D E F, æquale: Ponitur autem & triangulum A B C, eidem triangulo D E F, æquale: Igitur triangula A G C, A B C, æqualia erunt, pars & totum, quod est absurdum. Non ergo inæquales sunt bases B C, E F, sed æquales. Quod est propositum.
kin 幾何原本
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