DelMonte, Guidubaldo, Mechanicorvm Liber

Table of figures

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    <archimedes>
      <text>
        <body>
          <chap id="N128CF">
            <p id="id.2.1.71.2.0.0.0" type="main">
              <s id="id.2.1.71.2.1.1.0">
                <pb xlink:href="036/01/090.jpg"/>
                <figure id="id.036.01.090.1.jpg" place="text" xlink:href="036/01/090/1.jpg" number="83"/>
              </s>
            </p>
            <p id="id.2.1.71.3.0.0.0" type="main">
              <s id="id.2.1.71.3.1.1.0">Sit vectis AB, cuius fulcimentum C; ſitq; pondus D ex A ſu­
                <lb/>
              ſpenſum AH, ita vt AH ſit ſemper horizonti perpendicularis:
                <lb/>
              ſitq; potentia ſuſtinens pondus in B. </s>
              <s id="id.2.1.71.3.1.1.0.a">Dico potentiam in B ad pon
                <lb/>
              dus D ita eſſe, vt CA ad CB. </s>
              <s id="id.2.1.71.3.1.1.0.b">fiat vt BC ad CA, ita pondus D
                <lb/>
                <arrow.to.target n="note122"/>
              ad aliud pondus E, quippè quod ſi in B appendatur; ipſi D æque
                <lb/>
              ponderabit, exiſtente C amborum grauitatis centro. </s>
              <s id="id.2.1.71.3.1.2.0">quare poten
                <lb/>
              tia æqualis ipſi E ibidem conſtituta ipſi D æqueponderabit, vecte
                <lb/>
              AB, eius fulcimento in C collocato, hoc eſt prohibebit, ne pon
                <lb/>
              dus D deorſum vergat, quemadmodum prohibet pondus E. </s>
              <s id="id.2.1.71.3.1.2.0.a">Po
                <lb/>
                <arrow.to.target n="note123"/>
              tentia verò in B ad pondus D eandem habet proportionem, quam
                <lb/>
              pondus E ad idem pondus D: ergo potentia in B ad pondus D
                <lb/>
              erit, vt CA ad CB; hoc eſt vectis diſtantia à fulcimento ad pon
                <lb/>
              deris ſuſpendium ad diſtantiam à fulcimento ad potentiam. </s>
              <s id="id.2.1.71.3.1.3.0">quod
                <lb/>
              demonſtrare oportebat. </s>
            </p>
            <p id="id.2.1.72.1.0.0.0" type="margin">
              <s id="id.2.1.72.1.1.1.0">
                <margin.target id="note122"/>
              6
                <emph type="italics"/>
              Primi Archim. de æquep.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.72.1.1.3.0">
                <margin.target id="note123"/>
                <emph type="italics"/>
              Ex
                <emph.end type="italics"/>
              7
                <emph type="italics"/>
              quinti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.73.1.0.0.0" type="main">
              <s id="id.2.1.73.1.1.1.0">Hinc facilè oſtendi poteſt, fulcimentum quò
                <lb/>
              ponderi fuerit propius, minorem ad idem pon­
                <lb/>
              dus ſuſtinendum requiri potentiam. </s>
            </p>
            <p id="id.2.1.73.2.0.0.0" type="main">
              <s id="id.2.1.73.2.1.1.0">Iiſdem poſi­
                <lb/>
              tis, ſit fulcimen
                <lb/>
              tum in F ipſi A
                <lb/>
              propius, quàm
                <lb/>
              C; fiatq; vt BF
                <lb/>
              ad FA, ita pon
                <lb/>
              dus D ad aliud
                <lb/>
                <figure id="id.036.01.090.2.jpg" place="text" xlink:href="036/01/090/2.jpg" number="84"/>
                <lb/>
              G, quod ſi appendatur in B, pondera DG ex fulcimento E
                <lb/>
                <arrow.to.target n="note124"/>
              æqueponderabunt. </s>
              <s id="id.2.1.73.2.1.2.0">quoniam autem BF maior eſt BC, & CA
                <lb/>
                <arrow.to.target n="note125"/>
              maior AC; maior erit proportio BF ad FA, quàm BC ad CA: </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>