Commandino, Federico
,
Liber de centro gravitatis solidorum
,
1565
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teſt in portione, quæ recta linea & obtuſianguli coni ſe
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ctione, ſeu hyperbola continetur.</
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">THEOREMA IIII. PROPOSITIO IIII.</
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tatis centrum.</
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">SIT circulus, uel ellipſis, cuius centrum a. </
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uitatis quoque centrum eſſe. </
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trum grauitatis: & iuncta ab extra figuram in c produca
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tur: quam uero proportionem habet linea ca ad ab, ha
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beat circulus a ad alium circulum, in quo d; uel ellipſis ad
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aliam ellipſim: & in circulo, uel ellipſi figura rectilinea pla
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ne deſcribatur adco, ut tandem relinquantur portiones
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quædam minores circulo, uel ellipſi d; quæ figura ſit abcefg
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hklmn. </
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elementorum libro, propoſitione ſecunda manifeſte con
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ſtat; at in ellipſi nos demonſtra
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uimus in commentariis in quin
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tam propoſitionem Archimedis
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de conoidibus, & ſphæroidibus. </
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">erit igitur a centrum grauitatis
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ipſius figuræ, quod proxime
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dimus. </
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a ad circulum d, uel ellipſis a ad
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ellipſim d eandem
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habet, quam linea ca ad ab:
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portiones uero ſunt minores cir
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culo uel ellipſi d: habebit circu
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lus, uel ellipſis ad portiones ma
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iorem proportionem, quàm ca
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ad ab: & diuidendo figura recti
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linea abcefghklmn ad portiones </
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