Valerio, Luca
,
De centro gravitatis solidorum
,
1604
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47
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EV ad VS, erit componendo, maior proportio ER ad
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RT quàm ES ad SV: & per conuerſionem rationis mi
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nor proportio FR ad ET; quàm ES ad EV, & permu
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tando minor proportio ER ad ES quàm ET ad EV: ſed
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ER maior erat quàm ES, ergo ET maior erit quàm EV:
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& punctum T propinquius termino A, quàm punctum V.
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<
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PROPOSITIO XXIX.
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>Datæ figuræ circa diametrum, vel axim in alte
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ram partem deficienti, ſuper baſim rectam lineam
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vel circulum, vel ellipſim; cuius figuræ baſis, &
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ſectiones omnes parallelæ ſegmenta æqualia dia
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metri vel axis intercipientes ita ſe habeant, vt
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quarumlibet trium proximarum minor proportio
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ſit minimæ ad mediam, quàm mediæ ad maxi
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mam; figura quædam ex cylindris, vel cylindri
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portionibus, vel parallelogrammis æqualium al
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titudinum circumſcribi poteſt, cuius
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gra
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uitatis ſit propinquius baſi quàm cuiuſlibet datæ
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figuræ, qualem diximus quæ prædictæ figuræ cir
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cadiametrum, vel axim circumſcripta ſit. </
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<
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partẽ
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de
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ficiens qualem diximus, cuius bafis circulus, vel ellipſis vel
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recta linea AC, axis autem vel diameter BD. </
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<
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>Et data figu
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ra ipſi ABC figuræ circumſcripta compoſita ex cylindris,
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vel cylindri portionibus, vel parallelogrammis æqualium
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altitudinum EF, GH, AK. </
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<
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>Dico figuræ ABC alteram
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figuram, qualem diximus poſſe circumſcribi, cuius centrum </
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