Clavius, Christoph - Geometria practica

Clavius, Christoph, Geometria practica

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8050GEOMETR. PRACT. LIB. I.

In triangulo rectangulo rectangulum ſub dif-
11Theorema.

15[Figure 15] ferentia baſis, & alterutrius lateris circa rectum
angulum, & ſub ſumma baſis, & eiuſdem lateris,
æquale eſt quadrato alterius lateris circa angulum
rectum.

Nam in triangulo rectangulo A B D, cui{us} angul{us}
D, rect{us}, ſiex B, per D, ſemicircul{us} deſcribatur E F D,
erit A E, differentia inter baſem A B, & lat{us} B D: At A F, ſumma erit baſis A B,
& eiuſdem lateris B D, cum B D, B E, B F, rectæ ſint æqual{es}. Dico igitur rectang ulum
ſub A E, A F, æquale eſſe quadrato lateris A D. Recta enim A D, cum perpendicu-
laris ſit ad ſemidiam{et}rum B D, ſemicirculum tang{et} in D. lgitur 22Coroll. 16.
ter. gulum ſub A E, A F, quadrato tangentis A D, æquale erit,
quod erat demonſtrandum.

3336. ter.

FINIS LIBRI PRIMI.

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