Commandino, Federico, Liber de centro gravitatis solidorum, 1565

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000260">
                <pb xlink:href="023/01/028.jpg"/>
              centrum z: parallelogrammi ad,
                <foreign lang="grc">θ·</foreign>
              parallelogrammi fg,
                <foreign lang="grc">φ·</foreign>
                <lb/>
                <figure id="id.023.01.028.1.jpg" xlink:href="023/01/028/1.jpg" number="20"/>
                <lb/>
              parallelogrammi dh,
                <foreign lang="grc">χ·</foreign>
              &
                <lb/>
              parallelogrammi cg
                <expan abbr="centrũ">centrum</expan>
                <lb/>
                <foreign lang="grc">ψ·</foreign>
              atque erit
                <foreign lang="grc">ω</foreign>
              punctum me
                <lb/>
              dium uniuſcuiuſque axis, ui
                <lb/>
              delicet eius lineæ quæ oppo
                <lb/>
              ſitorum
                <expan abbr="planorũ">planorum</expan>
              centra con
                <lb/>
              iungit. </s>
              <s id="s.000261">Dico
                <foreign lang="grc">ω</foreign>
              centrum eſſe
                <lb/>
              grauitatis ipſius ſolidi. </s>
              <s id="s.000262">eſt
                <lb/>
                <arrow.to.target n="marg34"/>
                <lb/>
              enim, ut demonſtrauimus,
                <lb/>
              ſolidi af centrum grauitatis
                <lb/>
              in plano Kn; quod oppoſi­
                <lb/>
              tis planis ad, gf æquidiſtans
                <lb/>
              reliquorum planorum late­
                <lb/>
              ra bifariam diuidit: & ſimili
                <lb/>
              ratione idem centrum eſt in plano or, æquidiſtante planis
                <lb/>
              ae, bf oppoſitis. </s>
              <s id="s.000263">ergo in communi ipſorum ſectione: ui­
                <lb/>
              delicet in linea yz. </s>
              <s id="s.000264">Sed eſt etiam in plano tu, quod
                <expan abbr="quidẽ">quidem</expan>
                <lb/>
              yz ſecatin
                <foreign lang="grc">ω.</foreign>
              Conſtat igitur centrum grauitatis ſolidi eſſe
                <lb/>
              punctum
                <foreign lang="grc">ω,</foreign>
              medium ſcilicet axium, hoc eſt linearum, quæ
                <lb/>
              planorum oppoſitorum centra coniungunt.</s>
            </p>
            <p type="margin">
              <s id="s.000265">
                <margin.target id="marg34"/>
              6 huius</s>
            </p>
            <p type="main">
              <s id="s.000266">Sit aliud prima af; & in eo plana, quæ opponuntur, tri­
                <lb/>
              angula abc, def:
                <expan abbr="diuiſisq;">diuiſisque</expan>
              bifariam parallelogrammorum
                <lb/>
              lateribus ad, be, cf in punctis ghk, per diuiſiones
                <expan abbr="planũ">planum</expan>
                <lb/>
              ducatur, quod oppoſitis planis æquidiſtans faciet
                <expan abbr="ſectionẽ">ſectionem</expan>
                <lb/>
              triangulum ghx æquale, & ſimile ipſis abc, def. </s>
              <s id="s.000267">Rurſus
                <lb/>
              diuidatur ab bifariam in l: & iuncta cl per ipſam, & per
                <lb/>
              cKf planum ducatur priſma ſecans, cuius, &
                <expan abbr="parallelogrã">parallelogram</expan>
                <lb/>
              mi ae communis ſectio ſit lmn. </s>
              <s id="s.000268">diuidet punctum m li­
                <lb/>
              neam gh bifariam; & ita n diuidet lineam de: quoniam
                <lb/>
                <arrow.to.target n="marg35"/>
                <lb/>
              triangula acl, gkm, dfn æqualia ſunt, & ſimilia, ut ſupra
                <lb/>
              demonſtrauimus. </s>
              <s id="s.000269">Iam ex iis, quæ tradita ſunt, conſtat cen
                <lb/>
              trum grauitatis priſmatis in plano ghk contineri. </s>
              <s id="s.000270">Dico
                <lb/>
              ipſum eſſe in linea km. </s>
              <s id="s.000271">Si enim fieri poteſt, ſit o centrum; </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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