Valerio, Luca
,
De centro gravitatis solidorvm libri tres
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<
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>Sit quælibet figura plana A. </
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<
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>Dico figuræ A, rectan
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gulum æquale poſse exiſtere. </
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<
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>Exponatur enim rectan
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gulum BC, cuius latus BD, in infinitum producatur
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verſus E. </
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<
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>Quoniam igitur eſt vt rectangulum BD, ad
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planam figuram A, ita recta BD, ad aliquam lineam
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rectam ſit vt BC, ad A, ita BD, ad DE, & comple
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atur rectan
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gulum EC.
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</
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<
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>Quoniam igi
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tur eſt vt BD
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ad DE, ita
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rectangulum
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BC, ad figu
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ram A: ſed
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vt BD, ad
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DE, ita eſt
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rectangulum BC, ad rectangulum CE; vt igitur re
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ctangulum BC, ad figuram A, ita eſt rectangulum
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BC, ad rectangulum CE; rectangulum ergo CE, fi
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guræ A, æquale erit. </
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<
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>Manifeſtum eſt igitur propoſitum. </
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PROPOSITIO VI.
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>Omni figuræ circa diametrum in alte ram par
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tem deficienti figura quædam ex parallelogram
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mis æqualium altitudinum inſcribi poteſt, & al
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tera circumſcribi, ita vt circumſcripta ſuperet in
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ſcriptam minori ſpacio quantacumque magnitu
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dine propoſita. </
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<
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>Semper autem in ſimilibus intelli
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ge, eiuſdem generis. </
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<
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>Sit figura plana ABC circa diametrum AD, ad par-</
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