Bernoulli, Daniel, Hydrodynamica, sive De viribus et motibus fluidorum commentarii

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            <s xml:id="echoid-s5106" xml:space="preserve">
              <pb o="177" file="0191" n="191" rhead="SECTIO NONA."/>
            diverſis temporibus fiant emboli elevatio & </s>
            <s xml:id="echoid-s5107" xml:space="preserve">depreſſio, ſunt velocitates recipro-
              <lb/>
            ce ut tempora & </s>
            <s xml:id="echoid-s5108" xml:space="preserve">aſcenſus potentiales reciproce ut quadrata temporum. </s>
            <s xml:id="echoid-s5109" xml:space="preserve">Eſt igi-
              <lb/>
            tur aſcenſus potentialis aquæ influxu generatus ad aſcenſum potent. </s>
            <s xml:id="echoid-s5110" xml:space="preserve">qui ab effluxu
              <lb/>
            oritur ſolusque intenditur, in ratione reciproca quadrata compoſita ex ratio-
              <lb/>
            ne foraminis influxus ad foramen effluxus & </s>
            <s xml:id="echoid-s5111" xml:space="preserve">temporis, quo hauriuntur aquæ ad
              <lb/>
            tempus quo expelluntur.</s>
            <s xml:id="echoid-s5112" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div208" type="section" level="1" n="162">
          <head xml:id="echoid-head209" xml:space="preserve">Scholium.</head>
          <p>
            <s xml:id="echoid-s5113" xml:space="preserve">§. </s>
            <s xml:id="echoid-s5114" xml:space="preserve">18. </s>
            <s xml:id="echoid-s5115" xml:space="preserve">Ex utraque æſ
              <unsure/>
            timandi ratione ſequitur lente embolum eſſe ele-
              <lb/>
            vandum: </s>
            <s xml:id="echoid-s5116" xml:space="preserve">ita enim parva fit potentia movens ratione primæ methodi aut magnum
              <lb/>
            fit tempus elevationis ratione ſecundæ, atque ſic operarii ſingulis elevationis
              <lb/>
            emboli intervallis à conatu præcedentis depreſſionis exantlato reficientur. </s>
            <s xml:id="echoid-s5117" xml:space="preserve">Po-
              <lb/>
            ſterior porro methodus indicat foramina, per quæ aquæ attrahuntur amplian-
              <lb/>
            da & </s>
            <s xml:id="echoid-s5118" xml:space="preserve">multiplicanda eſſe; </s>
            <s xml:id="echoid-s5119" xml:space="preserve">id vero etiam priori conforme eſt methodo, quia
              <lb/>
            ſic ſufficiens fere aquæ quantitas ſua ſponte influit, minorique adeo potentia mo-
              <lb/>
            vente opus eſt.</s>
            <s xml:id="echoid-s5120" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div209" type="section" level="1" n="163">
          <head xml:id="echoid-head210" xml:space="preserve">Regula 9.</head>
          <p>
            <s xml:id="echoid-s5121" xml:space="preserve">§. </s>
            <s xml:id="echoid-s5122" xml:space="preserve">19. </s>
            <s xml:id="echoid-s5123" xml:space="preserve">Denique jactum aqueum verticaliter aſſurgentem nunquam
              <lb/>
            eam attingere altitudinem obſervandum eſt, quæ debeatur aquæ velocitati ini-
              <lb/>
            tiali, id eſt, ſi vena fluidi verticaliter aſſurgere incipiat ab ſua origine veloci-
              <lb/>
            tate tali, quam grave libere cadendo ex altitudine a acquirat, non poterit flui-
              <lb/>
            dum aſcendere ad totam altitudinem a, etiamſi aëris reſiſtentiam removeas, aut
              <lb/>
            quicquid excogitare velis, quod caſu motum retardare queat. </s>
            <s xml:id="echoid-s5124" xml:space="preserve">Ipſa enim rei na-
              <lb/>
            tura defectum aliquem exigit neceſſario, cujus rei ratio phyſica hæc eſt: </s>
            <s xml:id="echoid-s5125" xml:space="preserve">Nem-
              <lb/>
            pe quælibet guttula etiamſi aſcenſum incipiens verticalem, non poteſt tamen,
              <lb/>
            quin ſenſim ad latera deflectatur & </s>
            <s xml:id="echoid-s5126" xml:space="preserve">tandem, cum ad ſummum pervenit, motu
              <lb/>
            feratur horizontali, qui notabilis eſſe debet, quia per ſupremum limbum vel
              <lb/>
            ſectionem venæ aqueæ omnis aqua tranſit, quæ per foramen effluxit: </s>
            <s xml:id="echoid-s5127" xml:space="preserve">fac igi-
              <lb/>
            tur unicuique guttulæ eo temporis puncto quo horizontaliter movetur veloci-
              <lb/>
            tatem ineſſe, quam grave lapſu libero per altitudinem b acquirit: </s>
            <s xml:id="echoid-s5128" xml:space="preserve">ita vides non
              <lb/>
            poſſe venam ultra altitudinem a - b aſſurgere: </s>
            <s xml:id="echoid-s5129" xml:space="preserve">Atque hoc titulo diſpendium
              <lb/>
            oritur ratione potentiæ abſolutæ totius ut b ad a.</s>
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        <div xml:id="echoid-div210" type="section" level="1" n="164">
          <head xml:id="echoid-head211" xml:space="preserve">Scholium.</head>
          <p>
            <s xml:id="echoid-s5131" xml:space="preserve">§. </s>
            <s xml:id="echoid-s5132" xml:space="preserve">20. </s>
            <s xml:id="echoid-s5133" xml:space="preserve">Obſervatum fuit inter aquas communi velocitate ex tubulis </s>
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