DelMonte, Guidubaldo, Mechanicorvm Liber

Table of figures

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    <archimedes>
      <text>
        <body>
          <chap id="N1043F">
            <p id="id.2.1.57.3.0.0.0" type="main">
              <s id="id.2.1.57.3.1.1.0.f">
                <pb xlink:href="036/01/082.jpg"/>
                <figure id="id.036.01.082.1.jpg" place="text" xlink:href="036/01/082/1.jpg" number="73"/>
                <lb/>
                <arrow.to.target n="note111"/>
              AD ad
                <expan abbr="duplã">duplam</expan>
              ipſius AC, ita pondus G ad pondus L; ergo ex æquali,
                <lb/>
              vt Ck ad
                <expan abbr="duplã">duplam</expan>
              ipſius AC, ita pondera FG ad pondus L. </s>
              <s id="N12603">ſed vt Ck
                <lb/>
              ad duplam AC, ita dimidia CK, videlicet AH, hoc eſt BA, ad
                <lb/>
              AC. </s>
              <s id="id.2.1.57.3.1.1.0.g">Vt igitur BA ad AC, ita FG pondera ad pondus L. </s>
              <s id="id.2.1.57.3.1.1.0.h">Qua
                <lb/>
              re ex ſexta eiuſdem primi Archimedis, duo pondera FG ex pun
                <lb/>
              cto C ſuſpenſa tantùm ponderabunt, quantùm pondus L ex B;
                <lb/>
              hoc eſt quantùm pondera EF ex punctis DC ſuſpenſa. </s>
              <s id="id.2.1.57.3.1.2.0">Itaq; quo
                <lb/>
              niam pondera FG tantùm ponderant, quantum pondera EF; ſu­
                <lb/>
              blato communi pondere F, tàm ponderabit pondus G in C ap­
                <lb/>
              penſum, quàm pondus E in D. </s>
              <s id="id.2.1.57.3.1.2.0.a">ac propterea pondus F ad pon­
                <lb/>
                <arrow.to.target n="note112"/>
              dus E eam in grauitate proportionem habet, quam habet ad pon
                <lb/>
              dus G. </s>
              <s id="N12628">ſed pondus F ad G erat, vt CA ad AD: ergo & F pon­
                <lb/>
              dus ad pondus E eam in grauitate proportionem habebit, quam ha
                <lb/>
              bet CA ad AD. </s>
              <s id="N1262E">quod demonſtrare oportebat. </s>
            </p>
            <p id="id.2.1.58.1.0.0.0" type="margin">
              <s id="id.2.1.58.1.1.1.0">
                <margin.target id="note108"/>
              5
                <emph type="italics"/>
              Huius.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.58.1.1.2.0">
                <margin.target id="note109"/>
              18
                <emph type="italics"/>
              Quinti.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.58.1.1.3.0">
                <margin.target id="note110"/>
                <emph type="italics"/>
              Cor.
                <emph.end type="italics"/>
              4
                <emph type="italics"/>
              quinti.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.58.1.1.4.0">
                <margin.target id="note111"/>
              22
                <emph type="italics"/>
              Quinti.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.58.1.1.5.0">
                <margin.target id="note112"/>
              7
                <emph type="italics"/>
              Quinti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.59.1.0.0.0" type="main">
              <s id="id.2.1.59.1.1.1.0">Si verò in libra
                <lb/>
              BAC pondera EF
                <lb/>
              æqualia ex punctis
                <lb/>
              BC ſuſpendantur; ſi­
                <lb/>
              militer dico pondus
                <lb/>
              E ad pondus F eam
                <lb/>
                <figure id="id.036.01.082.2.jpg" place="text" xlink:href="036/01/082/2.jpg" number="74"/>
                <lb/>
              in grauitate proportionem habere, quàm habet diſtantia CA ad di
                <lb/>
              ſtantiam AB. </s>
              <s id="id.2.1.59.1.1.1.0.a">fiat AD ipſi AB æqualis, & ex puncto D ſuſpen­
                <lb/>
              datur pondus G æquale ponderi F; quod etiam ipſi E erit æquale. </s>
              <s id="id.2.1.59.1.1.2.0">
                <lb/>
              & quoniam AD eſt æqualis ipſi AB; pondera FG æqueponde
                <lb/>
              rabunt, eandemq; habebunt grauitatem. </s>
              <s id="id.2.1.59.1.1.3.0">cùm autem grauitas pon
                <lb/>
              deris E ad grauitatem ponderis G ſit, vt CA ad AD; erit graui
                <lb/>
              tas ponderis E ad grauitatem ponderis F, vt CA ad AD, hoc eſt
                <lb/>
              CA ad AB. quod erat quoq; oſtendendum. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>