DelMonte, Guidubaldo, Mechanicorvm Liber

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    <archimedes>
      <text>
        <body>
          <chap id="N1043F">
            <p id="id.2.1.13.3.0.0.0" type="main">
              <s id="id.2.1.13.3.1.8.0">
                <pb n="9" xlink:href="036/01/031.jpg"/>
              ferentiam AN maiorem portionem lineæ FG pertranſit (quod
                <lb/>
              ipſi vocant capere de directo) quàm deſcenſus ex L in D per cir
                <lb/>
              cumferentiam LD; cùm deſcenſus AN lineam CT pertranſeat,
                <lb/>
              deſcenſus verò LD lineam PO; & CT maior eſt PO; rectior erit
                <lb/>
              deſcenſus AN, quám deſcenſus LD. </s>
              <s id="id.2.1.13.3.1.8.0.a">grauius ergo erit pondus
                <lb/>
              in A, quàm in L, & in quouis alio ſitu. </s>
              <s id="id.2.1.13.3.1.9.0">eodemq; prorſus
                <lb/>
              modo oſtendunt, quò propius eſt ipſi A, grauius eſſe. </s>
              <s id="id.2.1.13.3.1.10.0">
                <lb/>
              Vt ſint circumferentiæ LD DA inter ſe ſe æquales, & à puncto
                <lb/>
              D ipſi AB perpendicularis ducatur DR; erit DR ipſi CO æqua
                <arrow.to.target n="note28"/>
                <lb/>
              lis. </s>
              <s id="id.2.1.13.3.1.11.0">lineam deinde DR ipſa LQ maiorem eſſe demonſtrant. </s>
              <s id="id.2.1.13.3.1.12.0">di­
                <lb/>
              cuntq; deſcenſum DA magis capere de directo deſcenſu LD, ma
                <lb/>
              ior enim eſt linea CO, quàm OP; quare pondus grauius erit
                <lb/>
              in D, quàm in L. quod ipſum euenit in punctis NM. </s>
              <s id="id.2.1.13.3.1.12.0.a">Suppo­
                <lb/>
              ſitionem itaq;, qua libram DE in AB redire demonſtrant, vt
                <arrow.to.target n="note29"/>
                <lb/>
              notam, manifeſtamq; proferunt. </s>
              <s id="id.2.1.13.3.1.13.0">Nempè Secundùm ſitum pon
                <lb/>
              dus grauius eſſe, quanto in eodem ſitu minus obliquus eſt deſcen
                <lb/>
              ſus. </s>
              <s id="id.2.1.13.3.1.14.0">huiuſq; reditus cauſam eam eſſe dicunt; Quoniam ſcilicet
                <arrow.to.target n="note30"/>
                <lb/>
              deſcenſus ponderis in D rectior eſt deſcenſu ponderis in E, cùm
                <lb/>
              minus capiat de directo pondus in E deſcendendo, quàm pon
                <arrow.to.target n="note31"/>
                <lb/>
              dus in D ſim liter deſcendendo. </s>
              <s id="id.2.1.13.3.1.15.0">Vt ſi arcus EV ſit ipſi DA
                <lb/>
              æqualis, ducanturq; VH ET ipſi FG perpendiculares; maior
                <lb/>
              erit DR, quàm TH. </s>
              <s id="N10C0D">quare per ſuppoſitionem pondus in D ra
                <lb/>
              tione ſitus grauius erit pondere in E. </s>
              <s id="id.2.1.13.3.1.15.0.a">pondus ergo in D, cùm ſit
                <lb/>
              grauius, deorſum mouebitur; pondus verò in E ſurſum, donec li
                <lb/>
              bra DE in AB redeat. </s>
            </p>
            <p id="id.2.1.14.1.0.0.0" type="margin">
              <s id="id.2.1.14.1.1.1.0">
                <margin.target id="note22"/>
                <emph type="italics"/>
              Cardanus primo de ſubtilitate.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.14.1.1.2.0">
                <margin.target id="note23"/>
                <emph type="italics"/>
              Ex
                <emph.end type="italics"/>
              15.
                <emph type="italics"/>
              tertii.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.14.1.1.3.0">
                <margin.target id="note24"/>
                <emph type="italics"/>
              Cardanus.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.14.1.1.4.0">
                <margin.target id="note25"/>
                <emph type="italics"/>
              Cardanus.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.14.1.1.5.0">
                <margin.target id="note26"/>
                <emph type="italics"/>
              Iordanus propoſitio ne
                <emph.end type="italics"/>
              4. </s>
              <s id="id.2.1.14.1.1.6.0">
                <margin.target id="note27"/>
                <emph type="italics"/>
              Tartalea propoſitione
                <emph.end type="italics"/>
              5. </s>
              <s id="id.2.1.14.1.1.7.0">
                <margin.target id="note28"/>
              34
                <emph type="italics"/>
              Primi.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.14.1.1.8.0">
                <margin.target id="note29"/>
                <emph type="italics"/>
              Iordanus ſuppoſitione
                <emph.end type="italics"/>
              4. </s>
              <s id="id.2.1.14.1.1.9.0">
                <margin.target id="note30"/>
                <emph type="italics"/>
              Iordanus propoſitio ne
                <emph.end type="italics"/>
              3. </s>
              <s id="id.2.1.14.1.1.10.0">
                <margin.target id="note31"/>
                <emph type="italics"/>
              Tartalea propoſitio ne
                <emph.end type="italics"/>
              5. </s>
            </p>
            <p id="id.2.1.15.1.0.0.0" type="main">
              <s id="id.2.1.15.1.1.1.0">Altera huius quoq; reditus ratio eſt, cùm trutina ſupra libram
                <arrow.to.target n="note32"/>
                <lb/>
              eſt in CF; linea CG eſt meta. </s>
              <s id="id.2.1.15.1.1.2.0">& quoniam angulus GCD ma
                <lb/>
              ior eſt angulo GCE, & maior à meta angulus grauius reddit
                <lb/>
              pondus; trutina igitur ſuperius exiſtente, grauius erit pondus in
                <lb/>
              D, quàm in E. </s>
              <s id="N10C95">idcirco D in A, & E in B redibit. </s>
            </p>
            <p id="id.2.1.16.1.0.0.0" type="margin">
              <s id="id.2.1.16.1.1.1.0">
                <margin.target id="note32"/>
                <emph type="italics"/>
              Cardanus.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.17.1.0.0.0" type="main">
              <s id="id.2.1.17.1.1.1.0">His itaq; rationibus conantur oſtendere libram DE in AB re
                <lb/>
              dire; quæ meo quidem iuditio facile ſolui poſſunt. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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