Clavius, Christoph - In Sphaeram Ioannis de Sacro Bosco commentarius

Clavius, Christoph, In Sphaeram Ioannis de Sacro Bosco commentarius

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11982Comment. in I. Cap. Sphæræ

III.

Centrvm figuræregularis dicitur punctum illud, quod centrum
eſt circuli figuræi@ſcripti, uel circumſcripti.

IIII.

Area cuiuslibet figuræ dicitur capacitas, ſpatium, ſiue ſuperficies in-
tra lateraipſius comprehenſa.

V.

Omne ſolidum rectangulum (cuius nimirum baſes æquidiſtantes
ſunt, & æquales, latera{q́ue} ad baſes recta, quale eſt Parallelepipedum) con-
tineri dicitur ſub altera baſium, ac perpendiculari ab illa baſi ad alteram
protracta.

Qvia nimirum altarutra baſium indicat longitudinem, ac Iatitudinem fi-
guræ, perpendicularis vero altitudinem, ſiue profonditatẽ eiuſdẽ demonſtrat.

THEOR. 1. PROPOS. 1.

ARea cuiuslibet trianguli æqualis eſt rectangulo comprehen-
11Triangulũ
quodcun q;
eui rectan-
gulo ęqua-
@ ſ it. ſo ſub perpendiculari à uertice ad baſim protracta, & dimidia
partes baſis.

Sit triangulum A B C, ex cuius uertice A, ad baſim B C, ducatur per-

19[Figure 19] pendicularis A D, diuidatq́ue primò baſim B C, bifariam, ut in prima figura.
Per A, ducatur E A F, in utramque partem æquidiſtans rectæ B C,

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