Valerio, Luca, De centro gravitatis solidorum, 1604

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        <body>
          <chap>
            <pb xlink:href="043/01/241.jpg" pagenum="62"/>
            <p type="head">
              <s>
                <emph type="italics"/>
              ALITER.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Dico hemiſphærij, vel hemiſphæroidis ABC cen­
                <lb/>
              trum grauitatis eſſe G. </s>
              <s>In plano enim ſemicirculi, vel ſe­
                <lb/>
              miellipſis per axem BD deſcriptæ intelligantur duæ pa­
                <lb/>
              rabolæ, quarum diametri AD, DC, & communiter
                <lb/>
              ad vtranque ordinatim applicata ſit BD: & connectun­
                <lb/>
              tur rectæ AB, BC: ſumptis autem in BD tribus qui­
                <lb/>
              buslibet punctis, æqualia axis ſegmenta XF, FY interci­
                <lb/>
              pientibus, ſecent per ea puncta tres figuras hemiſphærium,
                <lb/>
              vel hemiſphæroides ABC, & ſemicirculum, vel ſemielli­
                <lb/>
                <figure id="id.043.01.241.1.jpg" xlink:href="043/01/241/1.jpg" number="177"/>
                <lb/>
              pſim per axem, & figuram planam ARBSC, quæ lineis pa
                <lb/>
              rabolicis ARB, BSC, & recta AC continetur, pla­
                <lb/>
              na quædam baſi hemiſphærij, vel hemiſphæroidis paralle­
                <lb/>
              la. </s>
              <s>Erunt igitur ſectiones hemiſphærij, vel hemiſphæroidis
                <lb/>
              circuli, vel ellipſes ſimiles baſi,
                <expan abbr="quarũ">quarum</expan>
              diametri ſint KXH,
                <lb/>
              LFM, N
                <foreign lang="grc">Υ</foreign>
              O: figuræ autem ARBSC ſectiones rectæ
                <lb/>
              lineæ PXQ, RFS, TYV. </s>
              <s>Quoniamigitur per IV hu­
                <lb/>
              ius eſt vt KH ad LM potentia, ita KQ ad FS hoc
                <lb/>
              eſt in earum duplis PQ ad RS longitudine; erit vt PQ
                <lb/>
              ad RS, ita circulus, vel ellipſis KH ad circulum vel ſi­
                <lb/>
              milem ellipſim LM. </s>
              <s>Eadem ratione erit vt RS ad
                <lb/>
              TV, ita circulus, vel ellipſis LM ad circulum, vel </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>