DelMonte, Guidubaldo, Mechanicorvm Liber

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    <archimedes>
      <text>
        <body>
          <chap id="N13F6F">
            <pb xlink:href="036/01/182.jpg"/>
            <p id="id.2.1.169.10.0.0.0" type="main">
              <s id="id.2.1.169.10.1.1.0">Sit motus orbiculus à centro A
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              vſq; ad centrum L; & pondus B,
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              hoc eſt punctum C, in eodem tem­
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              pore ſit motum in P; & potentia in
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              H vſq; ad K; erit AH ipſi LK æqua
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              lis, & AL ipſi Hk. </s>
              <s id="id.2.1.169.10.1.2.0">& quoniam fu
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              nis CDEFG eſt æqualis funi PM
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              NOG, idem enim eſt funis, & fu
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              nis circa ſemicirculum MNO æ­
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              qualis eſt funi circa ſemicirculum
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              DEF; demptis igitur communi­
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              bus DP FG, erit PC æqualis
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              DM FO ſimul ſumptis, qui funes
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              ſunt dupli ipſius AL, & conſequen­
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              ter ipſius Hk. </s>
              <s id="id.2.1.169.10.1.3.0">ſpatium ergo pon
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              deris moti CP duplum eſt ſpatii
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              Hk potentiæ. </s>
              <s id="id.2.1.169.10.1.4.0">quod oportebat de­
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              monſtrare. </s>
            </p>
            <figure id="id.036.01.182.1.jpg" place="text" xlink:href="036/01/182/1.jpg" number="169"/>
            <p id="id.2.1.169.10.2.1.0" type="head">
              <s id="id.2.1.169.10.4.1.0">COROLLARIVM </s>
            </p>
            <p id="id.2.1.169.11.0.0.0" type="main">
              <s id="id.2.1.169.11.1.1.0">Ex hoc manifeſtum eſt, idem pondus trahi
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              ab eadem potentia in æquali tempore per du­
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              plum ſpatium trochlea hoc modo accommoda
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              ta, quàm ſine trochlea; dummodo ipſius poten
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              tiæ lationes in velocitate ſint æquales. </s>
            </p>
            <p id="id.2.1.169.12.0.0.0" type="main">
              <s id="id.2.1.169.12.1.1.0">Spatium enim ponderis moti ſine trochlea æquale eſt ſpatio
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              potentiæ. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum