Valerio, Luca, De centro gravitatis solidorvm libri tres

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            <p type="main">
              <s>
                <pb xlink:href="043/01/194.jpg" pagenum="15"/>
              vel portionis cylindricæ reſiduum dempto fruſto,
                <lb/>
              ad totum cylindrum, vel cylindri portionem; vt
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              rectangulum contentum diametro minoris baſis
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              fruſti, & differentia diametri maioris, vnà cum
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              duabus tertiis quadrati differentiæ, ad quadra­
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              tum diametri maioris baſis. </s>
            </p>
            <p type="main">
              <s>Sit coni, vel eius portionis fruſtum ABCD, cuius baſes
                <lb/>
              oppoſitæ, circuli vel ſimiles ellipſes, quarum diametri mi­
                <lb/>
              noris baſis AB cuius centrum E: maioris autem CD,
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              & ſuper baſim circulum, vel ellipſim CD ſtet cylindrus,
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              vel portio cylindrica CG comprehendens fruſtum AB
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              CD, eiuſdemque altitudinis cum ipſo, & conus, vel co­
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              ni portio ECD. quo autem AC diameter ſuperat dia­
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              metrum AB, quæ differentia di­
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              citur, ſit DF. </s>
              <s>Dico fruſtum AD
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              ad cylindrum, vel portionem cy­
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              lindricam CG, eſſe vt rectangu­
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              lum DCF vnà cum tertia parte
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              quadrati DF, ad quadratum CD.
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              </s>
              <s>Ad conum autem vel coni portio­
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              nem ECD, vt rectangulum DCF,
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              vna cum tertia parte quadrati DF,
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              ad tertiam partem quadrati CD.
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              </s>
              <s>Cylindri autem, vel cylindri por­
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              tionis CG reſiduum dempto fru­
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                <figure id="id.043.01.194.1.jpg" xlink:href="043/01/194/1.jpg" number="144"/>
                <lb/>
              ſto AD, ad cylindrum, vel portionem cylindricam CG,
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              vt rectangulum CFD vna cum duabus tertiis quadrati
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              FD, ad quadratum CD. </s>
              <s>Cono enim, vel portioni coni­
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              cæ, cuius fruſtum AD, & cylindro, vel portioni cylindri­
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              cæ, cuius baſis eſt circulus, vel ellipſis CD, altitudo au­
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              tem eadem completo cono, vel portioni conicæ iam dictæ,
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              illi pyramis, huic priſma inſcripta intelligantur, quorum </s>
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