DelMonte, Guidubaldo, Mechanicorvm Liber

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    <archimedes>
      <text>
        <body>
          <chap id="N1043F">
            <p id="id.2.1.9.6.0.0.0" type="main">
              <s id="id.2.1.9.6.1.10.0">
                <pb xlink:href="036/01/026.jpg"/>
                <arrow.to.target n="note12"/>
              eſſet magnitudo. </s>
              <s id="id.2.1.9.6.1.11.0">libra
                <lb/>
              enim vna cum ponderi­
                <lb/>
              bus vnum tantum conti
                <lb/>
              nuum efficit, cuius cen­
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              trum grauitatis erit ſem­
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              per in medio. </s>
              <s id="id.2.1.9.6.1.12.0">non igitur
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              pondus in D pondere in
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              E eſt grauius. </s>
              <s id="id.2.1.9.6.1.13.0">Si autem
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              dicerent centrum graui­
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              tatis non in linea CD,
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              ſed in CE eſſe debere;
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              idem eueniet abſurdum.
                <figure id="id.036.01.026.1.jpg" place="text" xlink:href="036/01/026/1.jpg" number="13"/>
              </s>
            </p>
            <p id="id.2.1.9.7.0.0.0" type="main">
              <s id="id.2.1.9.7.1.1.0">Amplius ſi pondus D
                <lb/>
              deorſum mouebitur, pondus E ſurſum mouebit. </s>
              <s id="id.2.1.9.7.1.2.0">pondus igitur gra­
                <lb/>
              uius, quàm ſit E, in eodemmet ſitu ponderi D æqueponderabit, &
                <lb/>
              grauia inæqualia æquali diſtantia poſita æqueponderabunt. </s>
              <s id="id.2.1.9.7.1.3.0">Adii­
                <lb/>
              ciatur ergo ponderi E aliquod graue, ita vt ipſi D contraponde­
                <lb/>
              ret, ſi ex C ſuſpendantur. </s>
              <s id="id.2.1.9.7.1.4.0">ſed cum ſupra oſtenſum ſit punctum C
                <lb/>
              centrum eſſe grauitatis æqualium ponderum in DE; ſi igitur pon­
                <lb/>
                <arrow.to.target n="note13"/>
              dus E grauius fuerit pondere D, erit centrum grauitatis in linea
                <lb/>
              CE. </s>
              <s id="id.2.1.9.7.1.4.0.a">ſitq; hoc centrum K. </s>
              <s id="id.2.1.9.7.1.4.0.b">at per definitionem centri grauitatis, ſi
                <lb/>
              pondera ſuſpendantur ex K, manebunt. </s>
              <s id="id.2.1.9.7.1.5.0">ergo ſi ſuſpendantur ex
                <lb/>
              C, non manebunt, quod eſt contra hypoteſim: ſed pondus E deor
                <lb/>
              ſum mouebitur. </s>
              <s id="id.2.1.9.7.1.6.0">quòd ſi ex C quoque ſuſpenſa æqueponderarent;
                <lb/>
                <arrow.to.target n="note14"/>
              vnius magnitudinis duo eſſent centra grauitatis; quod eſt impoſsi
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              bile. </s>
              <s id="id.2.1.9.7.1.7.0">Non igitur pondus in E grauius eo, quod eſt in D, ipſi D æque­
                <lb/>
              ponderabit, cum ex puncto C fiat ſuſpenſio. </s>
              <s id="id.2.1.9.7.1.8.0">Pondera ergo in DE
                <lb/>
              æqualia ex eorum grauitatis centro C ſuſpenſa, æqueponderabunt,
                <lb/>
              manebuntquè. </s>
              <s id="id.2.1.9.7.1.9.0">quod demonſtrare fuerat propoſitum. </s>
            </p>
            <p id="id.2.1.10.1.0.0.0" type="margin">
              <s id="id.2.1.10.1.1.1.0">
                <margin.target id="note8"/>
                <emph type="italics"/>
              Iordanus de Ponderibus.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.10.1.1.2.0">
                <margin.target id="note9"/>
                <emph type="italics"/>
              Hyerommus Cardanus de ſubtilitate.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.10.1.1.3.0">
                <margin.target id="note10"/>
                <emph type="italics"/>
              Nicolaus Tartalea de quæſitis, ac inuentionibus.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.10.1.1.4.0">
                <margin.target id="note11"/>
              2.
                <emph type="italics"/>
              Sup. huius.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.10.1.1.6.0">
                <margin.target id="note12"/>
                <emph type="italics"/>
              Ex
                <emph.end type="italics"/>
              4.
                <emph type="italics"/>
              primi Archim de Aequep.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.10.1.1.7.0">
                <margin.target id="note13"/>
                <emph type="italics"/>
              Ex
                <emph.end type="italics"/>
              3.
                <emph type="italics"/>
              primi Archim de Aequep.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.10.1.1.8.0">
                <margin.target id="note14"/>
              1.
                <emph type="italics"/>
              Suppoſ. huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.11.1.0.0.0" type="main">
              <s id="id.2.1.11.1.1.1.0">
                <arrow.to.target n="note15"/>
              Huic autem poſtremo inconuenienti occurrunt dicentes, im­
                <lb/>
              poſsibile eſſe addere ipſi E pondus adeo minimum, quin adhuc ſi
                <lb/>
              ex C ſuſpendantur, pondus E ſemper deorſum verſus G moueatur. </s>
              <s id="id.2.1.11.1.1.2.0">
                <lb/>
              quod nos fieri poſſe ſuppoſuimus, atque fieri poſſe credebamus. </s>
              <s id="id.2.1.11.1.1.3.0">ex­
                <lb/>
              ceſſum enim ponderis D ſupra pondus E, cum quantitatis ratio­
                <lb/>
              nem habeat, non ſolum minimum eſſe, verum in infinitum diuidi
                <lb/>
              poſſe immaginabamur, quod quidem ipſi, non ſolum minimum, </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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