Valerio, Luca
,
De centro gravitatis solidorum
,
1604
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catarum quadrata eſſe inter ſe in eadem proportione; erunt
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prædictæ inter ſectionem parabolam, & baſim interiectæ
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inter ſe longitudine, vt in ellipſe ad diametrum ſimiliter
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vt diximus applicatæ inter ſe potentia. </
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<
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>Manifeſtum eſt
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igitur propoſitum. </
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PROPOSITIO V.
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>Omnis figuræ circa axim in alteram partem
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deficientis, cuius ſuperficies, excepta baſe ſit to
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ta interius concaua baſim habentis circulum, vel
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ellipſim; quælibet tres ſectiones baſi parallelæ
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æqualia axis ſegmenta intercipientes, ita ſe ha
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bent, vt minor ſit proportio minimæ ad mediam,
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quam mediæ ad maximam. </
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>Sit figura ABC circa axem BD in alteram partem de
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ficiens, qualem diximus: & poſitis in axe BD tribus qui
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buslibet punctis
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F, E, L, æqualia
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axis ſegmenta in
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tercipientibus, in
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telligatur
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ſolidũ
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ABC ſectum per
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ea puncta planis
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buibuſdã
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baſi cir
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culo, vel ellipſi,
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circa AC pa
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rallelis: quare ſe
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ctiones erunt cir
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culi, vel ellipſes ſimiles baſi, per definitionem, quarum dia
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metri eiuſdem rationis in eodem plano per axim ſint IK. </
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