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

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            <s xml:id="echoid-s170" xml:space="preserve">
              <pb o="7" file="0021" n="21" rhead="SECTIO PRIMA."/>
            Ita animadverti, (quod exemplum ob rei momentum ſit inſtar omnium,) fie-
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            ri non poſſe, ut preſſio aquæ, per canalem data velocitate fluentis, in ejusdem
              <lb/>
            latera definiatur, niſi mutationes iſtæ, quas momentaneas dicam, utcunque ſen-
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            ſibus inperceptibiles recte animo intelligantur. </s>
            <s xml:id="echoid-s171" xml:space="preserve">De his ego, ut primus cogi-
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            tavi, ita optatiſſimo cum ſucceſſu novam Theoriæ aquarum partem addidi, quæ,
              <lb/>
            quia fluidorum tum motum tum preſſionem ſimul reſpicit, hydraulico - ſtatica
              <lb/>
            aptiſſime vocari viſa fuit. </s>
            <s xml:id="echoid-s172" xml:space="preserve">Poſt hæc Theoriæ generalis ſpecimina, de vaſis cy-
              <lb/>
            lindricis tam ſimplicibus, quam iis, quæ tubis inſtructa ſunt, exhibentur, & </s>
            <s xml:id="echoid-s173" xml:space="preserve">
              <lb/>
            in his poſterioribus præſertim determinantur mutationes, quæ ab initio fluxus
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            oriuntur, dum datus velocitatis gradus attingitur, & </s>
            <s xml:id="echoid-s174" xml:space="preserve">id quidem in hypotheſi
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            vaſorum ampliſſimorum; </s>
            <s xml:id="echoid-s175" xml:space="preserve">notandum autem eſt, has mutationes ſenſibiles ad-
              <lb/>
            modum eſſe, etiamſi vaſa ſunt infinitæ amplitudinis, poſſeque illas experimen-
              <lb/>
            tis demonſtrari, dum aquæ ex vaſe ampliſſimo per foramen ſimplex effluentes
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            primo ſtatim temporis puncto totam, quantam poſſunt, velocitatem habent.
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            </s>
            <s xml:id="echoid-s176" xml:space="preserve">Pendent prædictæ mutationes tum a longitudine tum a figura tubi. </s>
            <s xml:id="echoid-s177" xml:space="preserve">Denique
              <lb/>
            etiam calculi analytici pro varii generis temporibus inveniendis una cum an-
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            notationibus phyſicis eo pertinentibus adjiciuntur. </s>
            <s xml:id="echoid-s178" xml:space="preserve">Indicante denique Theo-
              <lb/>
            ria, fieri non poſſe, ut aquæ multum ultra ſupremam ſcaturiginis ſuperficiem
              <lb/>
            aſcendant, monſtratur ſub fine ſectionis, non pertinere ad hypotheſes noſtras
              <lb/>
            phænomenon ſingulare, quod ipſe ſæpius obſervavi, & </s>
            <s xml:id="echoid-s179" xml:space="preserve">pro lubitu imitari poſ-
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            ſ
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            um, cujusque mentio injicitur in Hiſt. </s>
            <s xml:id="echoid-s180" xml:space="preserve">Reg. </s>
            <s xml:id="echoid-s181" xml:space="preserve">Acad. </s>
            <s xml:id="echoid-s182" xml:space="preserve">Sc. </s>
            <s xml:id="echoid-s183" xml:space="preserve">Pariſ. </s>
            <s xml:id="echoid-s184" xml:space="preserve">ad ann. </s>
            <s xml:id="echoid-s185" xml:space="preserve">1702. </s>
            <s xml:id="echoid-s186" xml:space="preserve">ubi
              <lb/>
            dicitur, accidere quandoque, ut aquæ in fontibus ſalientibus aſſurgant ad al-
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            titudinem triplam, aut quadruplam ejus, quæ reſpondet aquæ ſuperficiei ſupre-
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            mæ, mox tamen enormem aquæ jactum ad confuetam altitudinem deprimi,
              <lb/>
            poſteaque genuina iſtius phænomeni ratio cum veris menſuris ex Theoria no-
              <lb/>
            ſtra petitis affertur, modusque indicatur ſaltum inſolitum producendi,
              <lb/>
            imo & </s>
            <s xml:id="echoid-s187" xml:space="preserve">ad lubitum augendi.</s>
            <s xml:id="echoid-s188" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s189" xml:space="preserve">§. </s>
            <s xml:id="echoid-s190" xml:space="preserve">9. </s>
            <s xml:id="echoid-s191" xml:space="preserve">Porro Theoria extenditur ad examen motuum ex vaſis conſtanter
              <lb/>
            plenis, quibus nempe tantum aquæ continue affunditur, quantum ex illis ef-
              <lb/>
            fluit: </s>
            <s xml:id="echoid-s192" xml:space="preserve">horum indoles in eo potiſſimum conſiſtit, ut fluida emanantia magis
              <lb/>
            magisque accedant ad illum velocitatis gradum, qui toti altitudini ſuperficiei
              <lb/>
            fluidi ſupra foramen debetur, eum vero nunquam omnino attingant, niſi poſt
              <lb/>
            tempus infinitum: </s>
            <s xml:id="echoid-s193" xml:space="preserve">vergere tamen demonſtrantur aquæ tam cito ad velocitatem
              <lb/>
            iſtam, ut poſt tempusculum inſenſibile tantum non totam acquirant, </s>
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