Schott, Gaspar, Mechanica hydraulico-pneumatica. Pars I. Mechanicae Hydraulico-pnevmaticae Theoriam continet. , 1657

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            <p type="main">
              <s>
                <pb xlink:href="051/01/151.jpg" pagenum="120"/>
              libras, debet habere altitudinem duplicatam 1 ad 100; nem­
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              pe 40000. pedum. </s>
              <s>Atque hæc eſt converſa præcedentis Pro­
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              poſitionis. </s>
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            <p type="margin">
              <s>
                <margin.target id="marg217"/>
                <emph type="italics"/>
              Tubi æqua­
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              lium lumi­
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              num, at in­
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              æqualium
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                <expan abbr="altitudinũ">altitudinum</expan>
              ,
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              habent du­
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              plicatam
                <expan abbr="ra-tionẽ">ra­
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                tionem</expan>
              aqua­
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              rum.
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              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Poriſma II.
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              </s>
            </p>
            <p type="main">
              <s>COlligitur præterea, datis tubis æqualium foraminum, at
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              inæqualium altitudinum, in numeris aut lineis, mediam
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              proportionalem dare aquas; & datis aquis in numeris aut men­
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              ſuris, tertiam proportionalem dare tuborum altitudinem æqua­
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              lium foraminum. </s>
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            <p type="main">
              <s>
                <emph type="center"/>
              Annotatio.
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              </s>
            </p>
            <p type="margin">
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              Mediæ, ac
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              Tertiæ pro­
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              portionalis
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              quantitatis
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              in ventio.
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              </s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              DEinventione mediæ ac tertiæ proportionalis magnitudinis in nume­
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              ris ac lineis, agemus infrà in Parergo hujus capitis, & in Arith­
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              metica ac Geometria practica, & in Pantometro Kircheriano lib.
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              8.
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                <emph type="italics"/>
              cap.
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              1.
                <emph type="italics"/>
              Propoſit.
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              1.
                <emph type="italics"/>
              &
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              3. </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Propoſitio IX. Theorema I.
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              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Aqua naturali motu deſcendens & effluens per tubos,
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              imitatur leges aliorum gravium naturali
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              motu deſcendentium.
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              </s>
            </p>
            <p type="main">
              <s>NOn uni mirabile viſum, inquit Merſennus in Phænome­
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              nis Hydraulicis Propoſit. III. quòd non ſit eadem ratio
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              quantitatis aquæ fluentis ex tubo pedali, ad aquæ quantitatem
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              ex quadrupedali tubo ſalientis, poſito æquali foramine in utro­
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              que, quæ eſt 1 ad 4; cùm aqua quadrupedalis tubi quadruplo
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              magis, quàm pedalis premere videatur fundum, & aquam ex
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              lumine ſalientem. </s>
              <s>Verùm mirari deſines, ubi noveris, aquam
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              eo ſolùm modo premere, vel ea duntaxat velocitate tubum
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              egredi, quâ moveretur, ſi ex eadem tubi altitudine cecidiſſet;
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              adeo ut ſit eadem iſtius phænomeni ratio, quæ deſcenſus aquæ
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              per tubum; & eadem hujus deſcenſus, quæ deſcenſus aliorum
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              gravium; de quo proinde hîc agendum paulò accuratiùs, quan­
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              doquidem aquæ motus per tubum, & ex tubo eruptio, ſequi­
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              tur leges gravium motu naturali deſcendentium. </s>
            </p>
          </chap>
        </body>
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