Clavius, Christoph - Geometria practica

Clavius, Christoph, Geometria practica

Table of contents

[71.] PROBLEMA VIII.

[72.] PROBLEMA IX.

[73.] ALITER

[74.] ALITER

[75.] PROBLEMA X.

[76.] PROBLEMA XI.

[77.] PROBLEMA XII.

[78.] PROBLEMA XIII.

[79.] PROBLEMA XIV.

[80.] PROBLEMA XV.

[81.] PROBLEMA XVI.

[82.] PROBLEMA XVII.

[83.] PROBLEMA XVIII.

[84.] PROBLEMA XIX.

[85.] PROBLEMA XX.

[86.] PROBLEMA XXI.

[87.] ALITER.

[88.] ALITER.

[89.] ALITER.

[90.] ALITER.

[91.] SCHOLIVM.

[92.] PROBLEMA XXII.

[93.] PROBLEMA XXIII.

[94.] ALITER.

[95.] ALITER.

[96.] PROBLEMA XXIV.

[97.] FINIS LIBRI SECVNDI.

[98.] GEOMETRIÆ PRACTICÆ LIBER TERTIVS.

[99.] QVADRATI GEOMETRICI CONSTRVCTIO.

[100.] PROBLEMA I.

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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