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

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      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.001601">
                <pb pagenum="141" xlink:href="025/01/145.jpg"/>
              minore longitudinis, per quam quadrupla quantitas eodem tempore ef­
                <lb/>
              fluat, ad iſtud problema præparatorium res reducitur; dato Quadrato, cui
                <lb/>
              ſubtractum ſit ſubquadruplum, id eſt Quadrato ſemilateris, invenire Qua­
                <lb/>
              dratum cui ſubtracto rectangulo, ſub eius latere, & quarta parte laceris
                <lb/>
              prioris, reſiduum ſit quadruplum, primi reſidui, ſen triplum primi Qua­
                <figure id="id.025.01.145.1.jpg" xlink:href="025/01/145/1.jpg" number="48"/>
                <lb/>
              drati. </s>
              <s id="s.001602">Supponamus CB eſſe latus, ſeu Diame­
                <lb/>
              trum baſis minoris fiſtulæ, & LA eſſe Quadra­
                <lb/>
              tum quæſitum, ita vt ſubtracto HE ſub latere LH,
                <lb/>
              & LE æquali MB, quæ eſt ſub quadrupla BA,
                <lb/>
              reſiduum EA ſit triplum Quadrati CA: ſit au­
                <lb/>
              tem latus Quadrati 12 KN, quod mihi notum
                <lb/>
              eſt, hoc enim eſt triplum Quadrati CA; ſit etiam
                <lb/>
              KR, æqualis MB, mihi notæ, eſt enim ſubqua­
                <lb/>
              drupla BA; his præmiſſis, ſic formo problema
                <lb/>
              decretorium: Data media proportionali, ſcilicet
                <lb/>
              KN, & differentia extremarum, ſcilicet KR, invenire
                <lb/>
                <figure id="id.025.01.145.2.jpg" xlink:href="025/01/145/2.jpg" number="49"/>
                <lb/>
              extremas; dividatur RK bifariam in S & ſub radio SN
                <lb/>
              deſcribatur ſemicirculus ONB, erunt KO, KP, extre­
                <lb/>
              mæ quæſitæ, vt patet; igitur KO eſt latus quæſitum,
                <lb/>
              æquale ſcilicet LH. </s>
              <s id="s.001603">Pari modo procedam ſi velim ha­
                <lb/>
              bere fiſtulam ejuſdem longitudinis, ex qua eodem tem­
                <lb/>
              pore tripla, vel dupla quantitas effluat. </s>
            </p>
            <p type="main">
              <s id="s.001604">
                <emph type="italics"/>
              Auguſtin.
                <emph.end type="italics"/>
              </s>
              <s id="s.001605"> Non paucæ mihi ſuboriuntur difficultates circa hæc, quæ à
                <lb/>
                <figure id="id.025.01.145.3.jpg" xlink:href="025/01/145/3.jpg" number="50"/>
                <lb/>
              te dicta ſunt; primò enim, ſi longitudo fiſtulæ GH
                <lb/>
              tale impedimentum affert, vt vnam quartam
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              partem motus auferat; igitur dupla longitudo
                <lb/>
              GI, duplum auferet; igitur quadrupla totum
                <lb/>
              motum; nihil aquæ igitur ex illa efflueret, quod
                <lb/>
              abſurdum eſt. </s>
            </p>
            <p type="main">
              <s id="s.001606">
                <emph type="italics"/>
              Antim.
                <emph.end type="italics"/>
              </s>
              <s id="s.001607"> Siſte quæſo, neque enim huc Hydrau­
                <lb/>
              lica traducenda eſt, cùm ſit res longioris operæ;
                <lb/>
              dicam igitur breviter, motum retardari poſſe in
                <lb/>
              infinitum, vt nemo. neſcit; vnde ſi longitudo fi­
                <lb/>
              ſtulæ GH. Subtrahit
                <gap/>
              . </s>
              <s id="s.001609"> velocitatis, longitudo
                <lb/>
              GI ſubtrahet 1/4. & dupla GI
                <gap/>
              & dupla ejus
                <lb/>
              totam; ſed huc vſque ſupponitur fiſtula ſemper
                <lb/>
              plena, eaque in ſitu horizontali ; vbi autem
                <lb/>
              aqua ea tarditate, movetur, vt pars aquæ ſuprema proprio pondere quaſi
                <lb/>
              per planum inclinatum ire poſſit, deſcendit haud dubiè, & tunc ſuperior
                <lb/>
              fiſtulæ cavitas, vacua reſtat: ſed quæſo te ad rem noſtram redeamus, cùm
                <lb/>
              hæc hujus inſtituti non ſint. </s>
            </p>
            <p type="main">
              <s id="s.001610">
                <emph type="italics"/>
              Auguſtin.
                <emph.end type="italics"/>
              </s>
              <s id="s.001611"> Inde tantùm colligo, quantum detrimentum ij patiantur in
                <lb/>
              diſtributione aquarum, qui parvas fiſtulas habent, & quantum viciſſim
                <lb/>
              commodi ij, qui magnas habent; nempe illi, cui aquæ vncia competit, da­
                <lb/>
              tur fiſtula, cujus baſis Diameter v. g. vncia eſt; alteri verò cui competunt </s>
            </p>
          </chap>
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