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

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="051/01/021.jpg"/>
            <p type="main">
              <s>XVIII. Datis altitudine & lumine tubi ſemper pleni, invenire tempus quo da­
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              tam aquæ quantitatem effundat, ſive quo datam ciſternam impleat. 135 </s>
            </p>
            <p type="main">
              <s>XIX. Datis tempore, quantitate aquæ, ſeu ciſterna, & lumine tubi, invenire alti­
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              tu̇dinem tubi, qui ſemper plenus ciſternam dato tempore repleat. 136 </s>
            </p>
            <p type="main">
              <s>XX. Dato vaſe, & foramine per quod effluit aqua, invenire tempus quo eva­
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              cuatur. 137 </s>
            </p>
            <p type="main">
              <s>XXI. Dato vaſe, & tempore, invenire foramen per quod evacuetur tempore
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              dato. 139 </s>
            </p>
            <p type="main">
              <s>XXII. Altitudinem ſcaturiginis dati fontis per tubos fluentis invenire. 140 </s>
            </p>
            <p type="main">
              <s>XXIII. Data alicujus tubi, aut vaſis erogatorii altitudine, ac tempore quo deter­
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              minatam aquæ quantitatem è ſuo lumine effundit, invenire altitudinem
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              ejusdem aut alterius tubi, qui æquali tempore, per æquale lumen, aliam de­
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              terminatam aquæ quantitatem effundat. 140 </s>
            </p>
            <p type="main">
              <s>XXIV. In tubo ſeu vaſe ſemper pleno determinare ſpatia, quæ temporibus
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              æqualibus ſibi ſuccedentibus evacuantur; uti & menfuram ſeu pondus a­
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              quæ quæ effluit. 141 </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              PARERGUM CAPITIS III.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>De inventione mediæ, ac tertiæ proportionalis quantitatis, in numeris, & lineis. 144. </s>
            </p>
            <p type="main">
              <s>PROPOSITIO </s>
            </p>
            <p type="main">
              <s>I. Inter duos numeros medium proportionalem invenire. 145 </s>
            </p>
            <p type="main">
              <s>II. Datis duobus numeris, tertium continuè proportionalem invenire. ibid. </s>
            </p>
            <p type="main">
              <s>III. Inter duas rectas lineas datas invenire tertiam proportionalem. ibid. </s>
            </p>
            <p type="main">
              <s>IV. Datis duabus rectis, invenire tertiam proportionalem. 146 </s>
            </p>
            <p type="main">
              <s>V. Aliter invenire tertiam proportionalem. 147 </s>
            </p>
            <p type="main">
              <s>VI. Adhuc aliter invenire tertiam proportionalem. ibid. </s>
            </p>
            <p type="main">
              <s>VII. Datis tribus numeris invenire quartum proportionalem. 148 </s>
            </p>
            <p type="main">
              <s>VIII. Datis tribus rectis lineis, quartam proportionalem invenire. ibid. </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              CAPUT IV.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>De proprietatibus aquæ ſalientis ex tubis. 149 </s>
            </p>
            <p type="main">
              <s>PROPOSITIO </s>
            </p>
            <p type="main">
              <s>I. Salientium ſive ecdromorum horizontalium, & mediorum, ſuper eodem ho­
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              rizonte, longitudines ſunt in ratione ſubduplicata tuborum, ex quibus exi­
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              liunt. 151 </s>
            </p>
            <p type="main">
              <s>III. Salientes horizontales & mediæ, ejusdem tubi, eò ſunt longiores, quò lu­
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              men tubi fuerit altius ſupra horizontem. 153 </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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