Valerio, Luca, De centro gravitatis solidorvm libri tres

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            <p type="main">
              <s>
                <pb xlink:href="043/01/208.jpg" pagenum="29"/>
              & cylindrus, vel portio cylindrica FG abſciſsa vnà cum
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              portione ABC ex cylindro, vel portione cylindrica NO
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              circumſcripta hemiſphærio, vel hemiſphæroidi NBO,
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              cuius baſis circa diametrum NO, ſit baſi portionis ABC
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              parallela: qua ratione baſis prædicti ſolidi FG, erit vel cir
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              culus, vel ellipſis æqualis circulo maximo, vel ſimilis, &
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              æqualis ellipſi circa NO, portionis ABC baſi paralle­
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              læ. </s>
              <s>Dico portionem ABC ad cylindrum, vel portio­
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              nem cylindricam FG, eſse vt rectangulum BED, vnà
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              cum duabus tertiis qua­
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              drati EB ad quadratum
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              BD. </s>
              <s>Eſto enim conus,
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              vel coni portio HDG,
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              cuius fruſtum HKLG
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              prædicto plano abſciſſum:
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              & omnino ſint
                <expan abbr="circulorũ">circulorum</expan>
              ,
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              vel ellipſium ſimilium dia
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              metri eiuſdem rationis
                <expan abbr="">cum</expan>
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              NO, vt ad XII huius, in
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                <expan abbr="eadẽ">eadem</expan>
              recta linea tres FM,
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              AC, KL, ſectæ omnes bi
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              fariam in
                <expan abbr="cõmuni">communi</expan>
                <expan abbr="cẽtro">centro</expan>
              E,
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                <figure id="id.043.01.208.1.jpg" xlink:href="043/01/208/1.jpg" number="154"/>
                <lb/>
              & HBG, in eodem plano per axem. </s>
              <s>Quoniam igitur ex ſu­
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              perioribus, reliquum ſolidi FG, dempto ABC, æquale eſt
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              fruſto HKLG; erit eiuſdem ſolidi FG reliquum ABC
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              æquale reliquo ſolidi FG, dempto HKLG: ſed hoc reli­
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              quum dempto HKLG, ſupra oſtendimus eſse ad ſolidum
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              FG, vt rectangulum ex KL, & differentia HG, vnà
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              cum duabus tertiis quadrati differentiæ, ad quadratum
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              GH: & vt HG ad KL, ita eſt BD ad DE, propter ſimi­
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              litudinem triangulorum; vt igitur eſt rectangulum BED,
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              vnà cum duabus tertiis quadrati BE, ad quadratum BD,
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              ita erit portio ABC, ad cylindrum, vel portionem cylin­
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              dricam FG. </s>
              <s>Quod demonſtrandum erat. </s>
            </p>
          </chap>
        </body>
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