Valerio, Luca
,
De centro gravitatis solidorum
,
1604
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liter excedent, hoc eſt reliquum cylindri IR dempto cylin
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dro PO æquale erit reliquo cylindri GQ dempto cylin
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dro NM, & reliquum cylindri GQ dempto cylindro
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NM æquale cylindro EL. </
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<
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>Similiter ad reliquos cylindros
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quotcumque plures eſſent deſcendentes oſtenderemus, om
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nes exceſſus, quibus cylindri circumſcripti inſcriptos
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ſuperant ſibi quique reſpondentes inter ſe & cylindro
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EL æquales eſſe. </
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PROPOSITIO V.
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>Dato conoide hyperbolico, & ipſius conoi
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de parabolico circa eundem axim, quod ad
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reliquum hyperbolici conoidis eam proportio
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nem habeat, quam ſeſquialtera tranſuerſi late
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ris hyperboles, quæ conoides deſcribit, ad axim
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conoidis; fieri poteſt vt conoidi parabolico fi
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guræ quædam inſcribatur, & altera circumſcri
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bantur vt ſupra factum eſt, & hyperbolico alio cir
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cumſcribatur omnes ex cylindris æqualium al
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titudinum multitudine æqualibus exiſtentibus
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ijs, ex quibus conſtant figuræ conoidibus cir
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cumſcriptæ, ita vt exceſſus, quo figura conoidi
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parabolico circumſcripta inſcriptam ſuperat,
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quem breuitatis cauſa voco exceſſum primum,
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ad exceſſum, quo figura conoidi hyperbolico cir
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cumſcripta ſuperat circumſcriptam parabolico,
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quem voco exceſſum ſecundum, minorem habeat
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proportionem quacumque propoſita. </
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