DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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077/01/033.jpg
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pagenum
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29
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type
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<
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">SCHOLIVM.</
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<
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<
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">Inæquales ſint figuræ, ſi
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fig12
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miles verò ABCD EFGH,
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quarum cétra grauitatis ſint
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KL. ſupponit Archimedes
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hęc grauitatis centra KL eſ
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ſe in figuris ABCD EFGH
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ſimiliter poſita. cùm enim
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ſimilium figurarum, & late
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ra, & ſpacia ſint ſimilia, neceſſe eſt in ipſis ſimili quo 〈que〉 mo
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do centra grauitatis eſſe poſita. </
s
>
<
s
id
="
N10F62
">vt in ſe〈que〉nti clariùs apparebit.
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quomodo autem Archimedes intelligat hanc poſitionis ſimi
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litudinem, hoc modo definit. </
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<
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">VII.</
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type
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<
s
id
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">Dicimus quidem puncta in ſimilibus figuris eſ
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ſe ſimiliter poſita, à quibus ad æquales angulos
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ductæ rectæ lineæ cum homologis lateribus angu
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los æquales efficiunt. </
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</
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type
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<
s
id
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">SCHOLIVM.</
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>
</
p
>
<
p
id
="
N10F7E
"
type
="
main
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<
s
id
="
N10F80
">In ſimilibus figuris ABCD EFGH ſint homologa latera
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lb
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AB EF, BCFG, CD GH, AD EH. anguli verò æquales, qui
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ad AE, BF, CG, DH, primum quidem oſtendendum eſt fie
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ri poſſe, ut à duobus punctis intra figuras conſtitutis, duci
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poſſint rectę lineę ad angulos æquales, quę cum lateribus an
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gulos ęquales efficiant. </
s
>
<
s
id
="
N10F8C
">Quaſi dicat Archimedes, quoniam
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ſupponere poſſumus puncta in ſimilibus figuris eſſe ſimiliter
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poſita, ideo ſupponere quo〈que〉 poſſumus centra grauitatis in
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ipſis eſſe ſimiliter poſita. </
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>
<
s
id
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N10F94
">Ita〈que〉 ſint figuræ ABCD EFGH ſi
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miles, vt dictum eſt, ſumaturquè in ABCD vtcum〈que〉 pun
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ctum K à quo ducatur KA KB KC KD. deinde fiat an</
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</
archimedes
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