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

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000903">
                <pb pagenum="177" xlink:href="010/01/185.jpg"/>
                <arrow.to.target n="marg228"/>
                <lb/>
              IG ſupra grauitatem P, patet quod vt ſuperetur im­
                <lb/>
              pedimentum, quod reperit lignum FE ipſumque
                <expan abbr="a-ſcẽdere">a­
                  <lb/>
                ſcendere</expan>
              vetat ſufficiet vis ponderis Q, quæ eſt diffe­
                <lb/>
              rentia ponderis aquæ prementis IG, & leuitatis li­
                <lb/>
              gni FE. </s>
              <s id="s.000904">Sed hoc eſt falſum, quandoquidem pręter
                <lb/>
              pondus Q requiritur etiam pondus R æquale pon­
                <lb/>
              deri abſoluto cylindri lignei FE, & inſuper requiri­
                <lb/>
              tur pondus P quod vnà cum Q æquantur ponderi a­
                <lb/>
              quæ IG. </s>
              <s id="s.000905">Quapropter adeò falſum eſt ligneum cylin­
                <lb/>
              drum FE virtute propriæ leuitatis vim ſursùm exer­
                <lb/>
              cere in aqua, vt potiùs deorsùm premat, vt corpus
                <lb/>
              graue. </s>
            </p>
            <p type="margin">
              <s id="s.000906">
                <margin.target id="marg227"/>
              Ibidem.</s>
            </p>
            <p type="margin">
              <s id="s.000907">
                <margin.target id="marg228"/>
              Cap. 4. poſi­
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              tiuam leui­
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              tatem noņ
                <lb/>
              dari.</s>
            </p>
            <p type="main">
              <s id="s.000908">Et hactenùs comparauimus vires comprimentes
                <lb/>
              grauitatis ſuperincumbentis cylindri aquei IG & le­
                <lb/>
              uitatis cylindri lignei FE, reſtat modò vt paritèr
                <expan abbr="cõ-paremus">con­
                  <lb/>
                paremus</expan>
              velocitates prædictorum corporum, ſcilicèt
                <lb/>
              videndum qua velocitate lignum FE ſursùm à vile­
                <lb/>
              uitatis impellatur reſpectu contrariæ celeritatis, qua
                <lb/>
              aqua ABD per infimum foramen BC effluit: eo pro­
                <lb/>
              pemodum modo, quo piſces contra curſum alicuius
                <lb/>
              fluentis fluminis mouentur, ſi enim piſcis velociùs
                <lb/>
              natat, quàm aqua contrario curſu currat, procùl du­
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              bio piſcis reſpectu fundi, & ripæ, & ſpatij mundani
                <lb/>
              contra a quæ curſum reuera excurret aliquantiſper,
                <lb/>
              quòd ſi prædictæ duæ contrariæ velocitates æquales
                <lb/>
              fuerint, licèt reuera piſcis agitetur, commoueatur­
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              que ſemper in eodem ſitu mundani ſpatij perſiſtet, ſi
                <lb/>
              tandèm velocitas piſcis minor fuerit celeritate con­
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              traria fluentis, licèt piſcis natet, & verè anterius ex-</s>
            </p>
          </chap>
        </body>
      </text>
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