Fabri, Honoré, Dialogi physici in quibus de motu terrae disputatur, 1665

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      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.001455">
                <pb pagenum="127" xlink:href="025/01/131.jpg"/>
              de lineæ AH, BK, non ſint parallelæ, ſed vna ad aliam accedat; jam
                <lb/>
              alij demonſtrarunt velocitatem aquæ in AB ad velocitatem aquæ in HK
                <lb/>
                <figure id="id.025.01.131.1.jpg" xlink:href="025/01/131/1.jpg" number="45"/>
                <lb/>
              ſuppoſita eadem vi motrice, eſſe vt HE ad AD, id eſt vt HK ad AB, id
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              eſt in ratione latitudinum permutando, ſi verò decreſcat etiam altitu­
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              do, ita vt altitudo in HK, ſit HI, velocitas in AB eſt ad velocita­
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              tem in HK, vt HF, ad AD vel in compoſita latitudinum & altitu­
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              dinum permutando; hoc inquam jam alij demonſtrarunt; cùm enim
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              tota aqua fluat per planum AD, & per planum HE, quæ ad inſtar duo­
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              rum foraminum conſiderare poſſumus, ſuppoſita ſemper eadem vi motri­
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              ce, haud dubiè velociùs fluere debet per HE, quàm per AD, idque in ea
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              proportione, in qua AD major eſt quàm HE; in hoc nulla eſt difficultas,
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              & omnibus congruit experimentis; hinc aqua quæ ſurſum extruditur, di­
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              latatur, quæ verò ſua ſponte deſcendit, contrahitur; quia hæc motu acce­
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              lerato, illa retardato fertur. </s>
            </p>
            <p type="main">
              <s id="s.001456">
                <emph type="italics"/>
              Auguſt.
                <emph.end type="italics"/>
              </s>
              <s id="s.001457"> Hoc ſæpè miratus ſum in filo labentis olei, quod certè ad hunc
                <lb/>
              effectum aptius eſt, quàm aqua, propter vliginem; contrahitur enim & ex­
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              tenuatur filum illud; ſed rem gratiſſimam faceres, ſi demonſtrares in qua
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              proportione contrahatur. </s>
            </p>
            <p type="main">
              <s id="s.001458">
                <emph type="italics"/>
              Antim.
                <emph.end type="italics"/>
              </s>
              <s id="s.001459"> Hoc jam alij demonſtrarunt; quia tamen nihil eſt, quod tibi
                <lb/>
                <figure id="id.025.01.131.2.jpg" xlink:href="025/01/131/2.jpg" number="46"/>
                <lb/>
              negare auſim ; ſupponamus eſſe vas CB, in cujus
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              fundo ſit foramen CD, accipiatur quæcunque
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              altitudo puta CF, ſit quælibet Semiparabola
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              AFH, ſub axe FA, ducanturque applicatæ CE,
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              FH; in Parabola ſi accipiatur motus accelera­
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              tus, axis erit ſpatium, applicatæ verò tem­
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              pus & velocitas; igitur ſpatium acquiſitum
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              tempore CE erit ad acquiſitum tempore FH,
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              vt AC ad AF, ſunt enim ſpatia, vt tempo­
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              rum Quadrata; igitur velocitas aquæ in CD
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              erit ad velocitatem in FG vt CE ad FH,
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              ſed tranſitus aquæ ſunt vt velocitates, per­
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              mutando, vt jam dixi ſupra; igitur vt FH
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              ad CE, ita circulus CD ad circulum FH; igitur ſi vt Diameter CD
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              ad FG, ita hæc, ad K, erit vt FH, ad CE, ita CD ad K. ſit vt </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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