DelMonte, Guidubaldo, Mechanicorvm Liber

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          <chap id="N1043F">
            <p id="id.2.1.29.2.0.0.0" type="main">
              <s id="id.2.1.29.2.1.22.0">
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              tibus omninò naturalibus) de ipſa ſermo haberi poſsit: ſine qui­
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              bus eorum, quæ libræ accidunt, veræ caulæ reperiri nullo mo
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              do poſsint. </s>
            </p>
            <p id="id.2.1.30.1.0.0.0" type="margin">
              <s id="id.2.1.30.1.1.1.0">
                <margin.target id="note51"/>
                <emph type="italics"/>
              Ex
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              27
                <emph type="italics"/>
              Tertii.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.30.1.1.2.0">
                <margin.target id="note52"/>
                <emph type="italics"/>
              Ex
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              32
                <emph type="italics"/>
              primi.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.30.1.1.3.0">
                <margin.target id="note53"/>
              26
                <emph type="italics"/>
              Primi.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.30.1.1.4.0">
                <margin.target id="note54"/>
                <emph type="italics"/>
              Ex
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              13
                <emph type="italics"/>
              Primi.
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              </s>
              <s id="id.2.1.30.1.1.5.0">
                <margin.target id="note55"/>
              19
                <emph type="italics"/>
              Primi.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.30.1.1.6.0">
                <margin.target id="note56"/>
              47
                <emph type="italics"/>
              Primi.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.31.1.0.0.0" type="main">
              <s id="id.2.1.31.1.1.1.0">Præterea ſi adhuc ſup
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              poſitionem conceda­
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              mus; à conſideratione
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              libræ longè recedunt;
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              dum eo pacto, vt libra
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              DE in AB redire de­
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              beat, diſcurrunt. </s>
              <s id="id.2.1.31.1.1.2.0">ſemper
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              enim alterum pondus
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              ſeorſum accipiunt, putá
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              D, vel E; ac ſi modò
                <expan abbr="vnũ">vnum</expan>
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              modò alterum in libra
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              conſtitutum eſſet, nec
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              vllo modo ambo con­
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                <figure id="id.036.01.049.1.jpg" place="text" xlink:href="036/01/049/1.jpg" number="34"/>
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              nexa; cuius tamen oppoſitum omninò fieri oportet; neq; alterum
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              ſine altero rectè conſiderari poteſt; cùm de ipſis in libra conſti­
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              tutis ſermo habeatur. </s>
              <s id="id.2.1.31.1.1.3.0">cùm enim dicunt, deſcenſum ponderis in
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              D minus obliquum eſſe deſcenſu ponderis in E; erit pondus in
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              D per ſuppoſitionem grauius pondere in E: quare cùm ſit graui­
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              us, neceſſe eſt deorſum moueri, libramq; DE in AB redire: di
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              ſcurſus iſte nullius prorſus momenti eſt. </s>
              <s id="id.2.1.31.1.1.4.0">Primùm quidem ſem­
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              per argumentantur, ac ſi pondera in DE deſcendere debeant,
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              vnius tantùm ſine alterius connexione conſiderando deſcenſum. </s>
              <s id="id.2.1.31.1.1.5.0">
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              poſtremò tamen ob ponderum deſcenſuum comparationem colli­
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              gentes inferunt, pondus in D deorſum moueri, & pondus in E
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              ſurſum, vtraq; ſimul in libra inuicem connexa accipientes. </s>
              <s id="id.2.1.31.1.1.6.0">ve­
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              rùm ex iiſdemmet, quibus vtuntur, principiis, ac demonſtratio
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              nibus, oppoſitum eius, quod defendere conantur, facillimè col­
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              ligi poteſt. </s>
              <s id="id.2.1.31.1.1.7.0">Nam ſi comparetur deſcenſus ponderis in D cum a­
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              ſcenſu ponderis in E, vt ductis EK DH ipſi AB perpendicula­
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              ribus; cùm angulus DCH ſit æqualis angulo ECk; & angulus
                <arrow.to.target n="note57"/>
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              DHC rectus æqualis eſt recto E k C; & latus DC lateri CE æqua
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              le: erit triangulum CDH triangulo CEk æquale, & latus DH la­
                <arrow.to.target n="note58"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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