DelMonte, Guidubaldo, Mechanicorvm Liber

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    <archimedes>
      <text>
        <body>
          <chap id="N1043F">
            <pb xlink:href="036/01/018.jpg"/>
            <p id="id.2.1.1.37.0.0.0" type="head">
              <s id="id.2.1.1.37.1.1.0">LEMMA. </s>
            </p>
            <p id="id.2.1.1.38.0.0.0" type="main">
              <s id="id.2.1.1.38.1.1.0">Sit linea AB horizonti perpendicularis, & dia
                <lb/>
              metro AB circulus deſcribatur AEBD, cuius
                <lb/>
              centrum C. </s>
              <s id="id.2.1.1.38.1.1.0.a">Dico punctum B infimum eſſe lo­
                <lb/>
              cum circumferentiæ circuli AEBD; punctum
                <lb/>
              verò A ſublimiorem; & quælibet puncta, vt DE
                <lb/>
              æqualiter à puncto A diſtantia æqualiter eſſe
                <lb/>
              deorſum; quæ verò propius ſunt ipſi A eis, quæ
                <lb/>
              magis diſtant, ſublimiora eſſe. </s>
            </p>
            <p id="id.2.1.1.39.0.0.0" type="main">
              <s id="id.2.1.1.39.1.1.0">Producatur AB vſq; ad mundi cen­
                <lb/>
              trum, quod ſit F; deinde in circuli circum­
                <lb/>
                <arrow.to.target n="note1"/>
              ferentia quoduis accipiatur punctum G;
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              connectanturq; FG FD FE. </s>
              <s id="id.2.1.1.39.1.2.0">Quoniam
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              n. BF minima eſt omnium, quæ à puncto
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              F ad circumferentiam AEBD ducun­
                <lb/>
              tur; erit BF ipſa FG minor. </s>
              <s id="id.2.1.1.39.1.3.0">quare punctum
                <lb/>
              B propius erit puncto F, quàm G. </s>
              <s id="id.2.1.1.39.1.3.0.a">hacq;
                <lb/>
              ratione oſtendetur punctum B quouis alio
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              puncto circumferentiæ circuli AEDB
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              mundi centro propius eſſe. </s>
              <s id="id.2.1.1.39.1.4.0">erit igitur pun­
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              ctum B circumferentiæ circuli AEBD
                <lb/>
              infimus locus. </s>
              <s id="id.2.1.1.39.1.5.0">Deinde quoniam AF per
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              centrum ducta maior eſt ipſa GF; erit
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              punctum A non
                <expan abbr="ſolũ">ſolum</expan>
              ipſo G, verum etiam
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              quouis alio puncto circumferentiæ circuli
                <lb/>
              AEBD ſublimius. </s>
              <s id="id.2.1.1.39.1.6.0">Præterea quoniam DF
                <lb/>
              FE ſunt æquales; puncta DE æqualiter
                <lb/>
                <figure id="id.036.01.018.1.jpg" place="text" xlink:href="036/01/018/1.jpg" number="3"/>
                <lb/>
              mundi centro diſtabunt. </s>
              <s id="id.2.1.1.39.1.7.0">& cum DF maior ſit FG; erit pun­
                <lb/>
              ctum D ipſi A propius puncto G ſublimius. </s>
              <s id="id.2.1.1.39.1.8.0">quæ omnia demon­
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              ſtrare oportebat. </s>
            </p>
            <p id="id.2.1.2.1.0.0.0" type="margin">
              <s id="id.2.1.2.1.1.1.0">
                <margin.target id="note1"/>
              8.
                <emph type="italics"/>
              Tertil.
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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