Clavius, Christoph, Geometria practica

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[41.] Rurſus.
[42.] XVII. PERPENDICVLAREM IN LATVS quodcunque ex angulo oppoſito cadentem. Ex tribus omnibus lateribus efficere notam.
[43.] FINIS LIBRI PRIMI.
[44.] GEOMETRIÆ PRACTICÆ LIBER SECVNDVS.
[45.] PROBLEMA I.
[46.] ALITER
[47.] ALITER
[48.] ALITER
[49.] LEMMA.
[50.] SCHOLIVM.
[51.] COROLLARIVM I.
[52.] COROLLARIVM II.
[53.] PROBLEMA II.
[54.] 2. ITEM ſi fiat.
[55.] ALITER.
[56.] Ergo ſi fiat,
[57.] Si igitur fiat.
[58.] COROLLARIVM I.
[59.] COROLLARIVM II.
[60.] PROBLEMA III.
[61.] ALITER.
[62.] PROBLEMA IV.
[63.] ALITER.
[64.] ALITER.
[65.] COROLLARIVM.
[66.] VEL PER SOLOS SINVS.
[67.] PROBLEMA V.
[68.] ALITER.
[69.] PROBLEMA VI.
[70.] PROBLEMA VII.
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page |< < (50) of 450 > >|
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.
16[Figure 16]

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