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

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            <s xml:id="echoid-s1723" xml:space="preserve">
              <pb o="64" file="0078" n="78" rhead="HYDRODYNAMICÆ."/>
            tione velocitatum quam quantitatum theoremata, quæ in præcedente ſectione
              <lb/>
            exhibita fuerunt.</s>
            <s xml:id="echoid-s1724" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s1725" xml:space="preserve">(III.) </s>
            <s xml:id="echoid-s1726" xml:space="preserve">Patet autem ex ipſa explicatione ſupra data de contractione venæ,
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            non poſſe non illam à diverſis circumſtantiis mutari; </s>
            <s xml:id="echoid-s1727" xml:space="preserve">ita experimenta docent,
              <lb/>
            diminui eandem ab auctâ laterum fo
              <unsure/>
            raminis craſſitie: </s>
            <s xml:id="echoid-s1728" xml:space="preserve">an altitudo aquæ ſupra
              <lb/>
            foramen aliquid conferat non ſatis ſcio: </s>
            <s xml:id="echoid-s1729" xml:space="preserve">crediderim fere creſcere aliquantulum
              <lb/>
            contractionem ab aucta altitudine aquæ internæ, quamvis facile parum id fore
              <lb/>
            prævideam: </s>
            <s xml:id="echoid-s1730" xml:space="preserve">veriſimile quoque eſt, eo minorem cæteris paribus fore contra-
              <lb/>
            ctionem venæ, præſertim verticalis, quo majorem rationem habuerit amplitudo
              <lb/>
            foraminis ad amplitudinem cylindri, quia motus aquæ internæ fundo proximæ
              <lb/>
            eo minus fit obliquus, ita ut ſi foramen totam amplitudinem cylindri occupet,
              <lb/>
            nulla utique attenuatio venæ aqueæ oriri poſſit. </s>
            <s xml:id="echoid-s1731" xml:space="preserve">Ad hoc animum advertant ve-
              <lb/>
            lim, qui hujus contractionis in ipſa velocitatum determinatione rationem ha-
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            bendam eſſe fortaſſe cogitabunt. </s>
            <s xml:id="echoid-s1732" xml:space="preserve">Cum enim foramen non multo minus eſt
              <lb/>
            amplitudine vaſis, nulla oriri poteſt contractio notabilis & </s>
            <s xml:id="echoid-s1733" xml:space="preserve">cum foramen eſt
              <lb/>
            parvum, nulla rurſus oritur fere differentia circa velocitates ſive foramen ali-
              <lb/>
            quantum augeatur ſive diminuatur.</s>
            <s xml:id="echoid-s1734" xml:space="preserve"/>
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            <s xml:id="echoid-s1735" xml:space="preserve">§. </s>
            <s xml:id="echoid-s1736" xml:space="preserve">4. </s>
            <s xml:id="echoid-s1737" xml:space="preserve">Eadem propemodum ratio eſt aquarum horizontaliter, ut de
              <lb/>
            aliis directionibus taceam, effluentium: </s>
            <s xml:id="echoid-s1738" xml:space="preserve">nam ſimili modo ab omni parte af-
              <lb/>
            fluet aqua ad foramen; </s>
            <s xml:id="echoid-s1739" xml:space="preserve">imo etiam ex inferiori parte aſcendet uſque ad foramen
              <lb/>
            ut effluere poſſit, quod ipſe ſæpe fieri obſervavi. </s>
            <s xml:id="echoid-s1740" xml:space="preserve">Simili igitur cauſa ſimilis
              <lb/>
            fiet in vena effluente attenuatio, quam eo facilius eſt oculis perſpicere, quod
              <lb/>
            hîc locum non habeat altera atteuuatio ab acceleratione aquæ jam egreſſæ
              <lb/>
            oriunda. </s>
            <s xml:id="echoid-s1741" xml:space="preserve">Et ob hanc rationem, ſi quis obſervationes circa contractionem
              <lb/>
            venæ facere inſtituat, is meo judicio melius faciet, utendo venis hori
              <unsure/>
            zontali-
              <lb/>
            ter, quam ſub aliâ directione effluentibus.</s>
            <s xml:id="echoid-s1742" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1743" xml:space="preserve">§. </s>
            <s xml:id="echoid-s1744" xml:space="preserve">5. </s>
            <s xml:id="echoid-s1745" xml:space="preserve">Quanta autem ſit contractio, id eſt, quænam ratio intercedat
              <lb/>
            inter amplitudinem orificii ſectionemque venæ horizontaliter effluentis mini-
              <lb/>
            mam experiri licet vel ſumendo actu menſuras diametrorum iſtis amplitudini-
              <lb/>
            bus reſpondentium, vel etiam mediante quantitate aquæ dato tempore, da-
              <lb/>
            tisque velocitatibus effluentis, ubi tamen velocitates non tam ex altitudine
              <lb/>
            aquæ ſupra foramen, quam ex amplitudine jactus deducenda erunt, </s>
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