DelMonte, Guidubaldo, Mechanicorvm Liber

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    <archimedes>
      <text>
        <body>
          <chap id="N1043F">
            <pb n="13" xlink:href="036/01/039.jpg"/>
            <p id="id.2.1.21.1.0.0.0" type="main">
              <s id="id.2.1.21.1.2.1.0">Si autem punctum G eſſet
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              in centro mundi; tunc quò
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              pondus propius fuerit ipſi G,
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              grauius erit: & vbicunq; po
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              natur pondus præterquàm in
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              ipſo G, ſemper centro C inni
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              tetur, vt in K. </s>
              <s id="N11054">nam ducta
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              G k, efficiet hæc (ſecun­
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              dùm quam fit ponderis natu
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              ralis motus) vná cum libræ
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              brachio k C angulum acu­
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              tum. </s>
              <s id="id.2.1.21.1.2.2.0">æquicruris enim trian­
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              guli CkG ad baſim anguli
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              ad k, & G ſunt ſemper acuti. </s>
              <s id="id.2.1.21.1.2.3.0">
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                <figure id="id.036.01.039.1.jpg" place="text" xlink:href="036/01/039/1.jpg" number="24"/>
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              Conferantur autem inuicem hæc duo, pondus videlicet in k, &
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              pondus in D: erit pondus in k grauius, quàm in D. </s>
              <s id="N11073">nam iuncta
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              DG, cùm tres anguli cuiuſcunque trianguli duobus ſint rectis
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              æquales, & trianguli CDG æquicruris angulus DCG maior ſit
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              angulo kCG æquicruris trianguli CkG: erunt reliqui ad baſim an
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              guli DGC GDC ſimul ſumpti reliquis KGCGkC ſimul ſumptis
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              minores. </s>
              <s id="id.2.1.21.1.2.4.0">horumq; dimidii; angulus ſcilicet CDG angulo CKG
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              minor erit. </s>
              <s id="id.2.1.21.1.2.5.0">quare cùm pondus in k ſolutum naturaliter per
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              KG moueatur, pondusq; in D per DG, tanquam per ſpatia,
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              quibus in centrum mundi feruntur; linea CD, hoc eſt libræ
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              brachium magis adhærebit motui naturali ponderis in D pror­
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              ſus ſoluti, lineæ ſcilicet DG; quàm Ck motui ſecundùm kG
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              effecto. </s>
              <s id="id.2.1.21.1.2.6.0">magis igitur ſuſtinebit linea CD, quàm Ck. </s>
              <s id="id.2.1.21.1.2.7.0">ac pro­
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              pterea pondus in k ex ſuperius dictis grauius erit, quàm in D. </s>
              <s id="id.2.1.21.1.2.7.0.a">
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              Præterea quoniam pondus in K ſi eſſet omnino liberum, prorſuſq;
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              ſolutum, deorſum per k G moueretur; niſi à linea C k prohibere
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              tur, quæ pondus vltra lineam KG per circumferentiam KH mo­
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              ueri cogit; linea C k pondus partim ſuſtinebit, ipſiq; renitetur;
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              cùm illud per circumferentiam k H moueri compellat. </s>
              <s id="id.2.1.21.1.2.8.0">&
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              quoniam angulus CDG minor eſt angulo CkG, & angulus CDk
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              angulo CkH eſt æqualis; erit reliquus GDk reliquo G k H maior. </s>
              <s id="id.2.1.21.1.2.9.0">
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              circumferentia igitur k H motui naturali ponderis in k ſoluti, li­</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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