DelMonte, Guidubaldo, Mechanicorvm Liber

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    <archimedes>
      <text>
        <body>
          <chap id="N1043F">
            <p id="id.2.1.5.2.0.0.0" type="main">
              <pb n="4" xlink:href="036/01/021.jpg"/>
              <s id="id.2.1.5.2.3.1.0">PROPOSITIO II. </s>
            </p>
            <p id="id.2.1.5.3.0.0.0" type="main">
              <s id="id.2.1.5.3.1.1.0">Libra horizonti æquidiſtans, cuius centrum
                <lb/>
              ſit ſupra libram, æqualia in extremitatibus, æqua
                <lb/>
              literq; à perpendiculo diſtantia habens pondera,
                <lb/>
              ſi ab eiuſmodi moueatur ſitu, in eundem rurſus
                <lb/>
              relicta, redibit; ibíq; manebit. </s>
            </p>
            <p id="id.2.1.5.4.0.0.0" type="main">
              <s id="id.2.1.5.4.1.1.0">Sit libra AB recta li­
                <lb/>
              nea horizonti æquidi­
                <lb/>
              ſtans, cuius centrum C
                <lb/>
              ſit ſupra libram; ſitq; CD
                <lb/>
                <expan abbr="perpendiculũ">perpendiculum</expan>
              , quod ho­
                <lb/>
              rizonti perpendiculare
                <lb/>
              erit: atq; diſtantia DA ſit
                <lb/>
              diſtantiæ DB æqualis;
                <lb/>
              ſintq; in AB pondera æ­
                <lb/>
              qualia,
                <expan abbr="quorũ">quorum</expan>
              grauitatis
                <lb/>
              centra ſint in AB
                <expan abbr="pũctis">punctis</expan>
              . </s>
              <s id="id.2.1.5.4.1.2.0">
                <lb/>
              Moueatur AB libra ab
                <lb/>
                <figure id="id.036.01.021.1.jpg" place="text" xlink:href="036/01/021/1.jpg" number="7"/>
                <lb/>
              hoc ſitu, putá in EF, deinde relinquatur. </s>
              <s id="id.2.1.5.4.1.3.0">dico libram EF in AB ho
                <lb/>
              rizonti æquidiſtantem redire, ibíq; manere. </s>
              <s id="id.2.1.5.4.1.4.0">Quoniam autem pun
                <lb/>
              ctum C eſt immobile, dum libra mouetur, punctum D circuli cir­
                <lb/>
              cumferentiam deſcribet, cuius ſemidiameter erit CD. quare cen­
                <lb/>
              tro C, ſpatio verò CD, circulus deſcribatur DGH. </s>
              <s id="id.2.1.5.4.1.4.0.a">Quoniam
                <lb/>
              enim CD ipſi libræ ſemper eſt perpendicularis, dum libra erit in
                <lb/>
              EF, linea CD erit in CG, ita vt CG ſit ipſi EF perpendicula­
                <lb/>
              ris. </s>
              <s id="id.2.1.5.4.1.5.0">Cùm autem AB bifariam à puncto D diuidatur, & pondera
                <lb/>
              in AB ſint æqualia; erit magnitudinis ex ipſis AB compoſitæ cen
                <arrow.to.target n="note3"/>
                <lb/>
              trum grauitatis in medio, hoc eſt in D. &
                <expan abbr="quãdo">quando</expan>
              libra vná cum pon
                <lb/>
              deribus erit in EF; erit magnitudinis ex vtriſq; EF compoſitæ cen
                <lb/>
              trum grauitatis G. </s>
              <s id="id.2.1.5.4.1.5.0.a">& quoniam CG horizonti non eſt perpendi­
                <lb/>
              cularis;
                <arrow.to.target n="note4"/>
              magnitudo ex ponderibus EF compoſita in hoc ſitu mi­
                <lb/>
              nimè perſiſtet, ſed deorſum
                <expan abbr="ſecũdùm">ſecundùm</expan>
              eius centrum grauitatis G per
                <lb/>
              circumferentiam GD mouebitur; donec CG horizonti fiat per­</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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