Borelli, Giovanni Alfonso, De motionibus naturalibus a gravitate pendentibus, 1670

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000470">
                <pb pagenum="96" xlink:href="010/01/104.jpg"/>
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                <lb/>
              inertia reſiſtit impulſui impellentis corporis leuis A;
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              ergò ex
                <expan abbr="demõ">demom</expan>
              ſtratis in libro de vi percuſſionis
                <expan abbr="eadẽ">eadem</expan>
                <lb/>
              vis motiua leuitatis ipſius A communicatur, &
                <expan abbr="expã-ditur">expan­
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                ditur</expan>
              per vniuerſum corpus motum, ſcilicèt per flui­
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              dum B, igitur eius impetus D valdè debilitatur re­
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              tardaturque, ſitque diminuta velocitas E, qua ni­
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              mirùm lignum leue A, & fluidum B mouentur. </s>
              <s id="s.000471">pari
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              ratione ſit F velocitas retardata, qua idem lignum̨
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              A nec non moles hydrargyri C ſibi æquali agitatur.
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              </s>
              <s id="s.000472">Oſtendendum eſt quòd velocitas, E qua nimirum li­
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              gnum aſcendit per aquam maior ſit velocitate F quà
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              lignum per mercurium eleuatur, & habere veloci­
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              tatem E ad F reciprocè ferè eamdem proportionem,
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                <figure id="id.010.01.104.1.jpg" xlink:href="010/01/104/1.jpg"/>
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              quam habet corporea ſubſtantia
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              AC ad corpulentiam AB. </s>
              <s id="s.000473">Quia ab
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              eadem virtute motiua impelluntur
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              duo corpora A, & B à qua priùs in­
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              telligebatur moueri ſingularis maſ­
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              ſa lignea A cui naturalis gradus
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              impetus D conueniebat, igitur mo­
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              les corporea, & materialis duorum
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              corporum ſimul ſumptorum A & B
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              ad molem corpoream A reciprocè
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              eamdem proportionem habebit, quam eorum ve­
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                <arrow.to.target n="marg113"/>
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              locitates
                <expan abbr="habẽt">habent</expan>
              , & ideò
                <expan abbr="erũt">erunt</expan>
              vt D ad E. </s>
              <s id="s.000474">Simili ratio­
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              cinio vt moles corporea A ad molem corpoream AC
                <lb/>
              ita eſt velocitas F ad D, ergo ex æqualitate pertur­
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              bata corporea ſubſtantia AB, ad AC eamdem pro­
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              portionem habebit, quàm velocitas F ad E, eſt quę </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>