Borelli, Giovanni Alfonso, De motionibus naturalibus a gravitate pendentibus, 1670

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<body>
<chap>
<p type="main">
<s id="s.001020">
<arrow.to.target n="marg261"/>
<lb/>
& tantæ vaſtitatis, vt ad eum moles ABC minorem
<lb/>
proportionem habeat, quam S ad R, ſcilicèt ſit vt S
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ad V, quæ maior erit quam R, & quia eiuſdem ſub­
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ſtantiæ nempè ligni factæ ſunt duæ moles ABC, &
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HIK; igitur (ex præcedenti) vt cylindrus ABC ad
<lb/>
HIK, ita ſe habet abſoluta leuitas illius S ad huius le­
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uitatem, quæ erit V, & habet S ad R
<expan abbr="maiorẽ">maiorem</expan>
propor­
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tionem, quàm moles ABC ad HIK, igitur leuitas V,
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ſeù vis, qua ſolidum HIK aſcendit in fluido M maior
<lb/>
eſt quacumque data vi finita R. </s>
</p>
<p type="margin">
<s id="s.001021">
<margin.target id="marg261"/>
Cap. 4. poſi­
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tiuam
<expan abbr="leui-tatẽ">leui­
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tatem</expan>
<expan abbr="">non</expan>
dari.</s>
</p>
<p type="main">
<s id="s.001022">
<emph type="center"/>
PROP. XCVI.
<emph.end type="center"/>
</s>
</p>
<p type="main">
<s id="s.001023">
<emph type="center"/>
<emph type="italics"/>
Idipſum problema effici poſſe methodo Archimedæa ſic
<lb/>
ostendemus.
<emph.end type="italics"/>
<emph.end type="center"/>
</s>
</p>
<p type="main">
<s id="s.001024">SVmatur lignum L, vel aliud
<lb/>
<lb/>
corpus ſibi homogeneum,
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quod innatare poſſit intra flui­
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dum M, ponaturque quælibet
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vis finita ponderis P, atque vt
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pondus abſolutum molis fluidi
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M, quæ æqualis ſit ipſi L, ad
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pondus abſolutum ligni L, ſci­
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licèt vt grauitas ſpecifica flui­
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<lb/>
poſtea fiat cylindrus ACB
<expan abbr="eiuſdẽ">eiuſdem</expan>
<lb/>
grauitatem abſolutam
<expan abbr="põdus">pondus</expan>
P minorem proportio­
<lb/>
nem habeat, quàm differentia ipſarum R, & S ad S.
<lb/>
</s>
<s id="s.001025">Tandem immergatur cylindrus AC intra fluidum M </s>
</p>
</chap>
</body>
</text>
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