DelMonte, Guidubaldo - In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata

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SCHOLIVM.

Inæquales ſint figuræ, ſi

miles verò ABCD EFGH,
quarum cétra grauitatis ſint
KL. ſupponit Archimedes
hęc grauitatis centra KL eſ
ſe in figuris ABCD EFGH
ſimiliter poſita. cùm enim
ſimilium figurarum, & late
ra, & ſpacia ſint ſimilia, neceſſe eſt in ipſis ſimili quo 〈que〉 mo
do centra grauitatis eſſe poſita. vt in ſe〈que〉nti clariùs apparebit.
quomodo autem Archimedes intelligat hanc poſitionis ſimi
litudinem, hoc modo definit.

15[Figure 15]

VII.

Dicimus quidem puncta in ſimilibus figuris eſ
ſe ſimiliter poſita, à quibus ad æquales angulos
ductæ rectæ lineæ cum homologis lateribus angu
los æquales efficiunt.

SCHOLIVM.

In ſimilibus figuris ABCD EFGH ſint homologa latera
AB EF, BCFG, CD GH, AD EH. anguli verò æquales, qui
ad AE, BF, CG, DH, primum quidem oſtendendum eſt fie
ri poſſe, ut à duobus punctis intra figuras conſtitutis, duci
poſſint rectę lineę ad angulos æquales, quę cum lateribus an
gulos ęquales efficiant. Quaſi dicat Archimedes, quoniam
ſupponere poſſumus puncta in ſimilibus figuris eſſe ſimiliter
poſita, ideo ſupponere quo〈que〉 poſſumus centra grauitatis in
ipſis eſſe ſimiliter poſita. Ita〈que〉 ſint figuræ ABCD EFGH ſi
miles, vt dictum eſt, ſumaturquè in ABCD vtcum〈que〉 pun
ctum K à quo ducatur KA KB KC KD. deinde fiat an

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