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

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        <div xml:id="echoid-div109" type="section" level="1" n="82">
          <pb o="102" file="0116" n="116" rhead="HYDRODYNAMICÆ"/>
          <p>
            <s xml:id="echoid-s2865" xml:space="preserve">(II) Quæritur nunc idem tempus pro ſecunda rurſus hypotheſi, ſi
              <lb/>
            tubus ejusdem fuerit amplitudinis eodemque foramine inſtructus, ſed oblique
              <lb/>
            ſitus longitudinemque b habuerit 184 perticarum ſeu 1104 pedum Pariſ. </s>
            <s xml:id="echoid-s2866" xml:space="preserve">dum al-
              <lb/>
            titudo ſuperficiei aqueæ ſupra orificium effluxus ſit 16. </s>
            <s xml:id="echoid-s2867" xml:space="preserve">ped. </s>
            <s xml:id="echoid-s2868" xml:space="preserve">Pariſ. </s>
            <s xml:id="echoid-s2869" xml:space="preserve">Ita fiet b =
              <lb/>
            1104, & </s>
            <s xml:id="echoid-s2870" xml:space="preserve">{bb/a} = 76176. </s>
            <s xml:id="echoid-s2871" xml:space="preserve">atque præterpropter θ = 72 ſec. </s>
            <s xml:id="echoid-s2872" xml:space="preserve">min. </s>
            <s xml:id="echoid-s2873" xml:space="preserve">unde tempus
              <lb/>
            quæſitum medium eſt inter octo novemque minuta ſecunda, quod certe ſatis
              <unsure/>
              <lb/>
            notabile eſt. </s>
            <s xml:id="echoid-s2874" xml:space="preserve">Si vero tempus deſideretur, quo altitudo v exæquet tantum quar-
              <lb/>
            tam partem altitudinis a, reperietur illud æquale {72/50} log. </s>
            <s xml:id="echoid-s2875" xml:space="preserve">3 = proxime uni mi-
              <lb/>
            nuto ſecundo cum dimidio.</s>
            <s xml:id="echoid-s2876" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2877" xml:space="preserve">Neſcio an hæc conveniant cum iis, quæ Mariottus à ſe obſervata refert
              <lb/>
            in tract. </s>
            <s xml:id="echoid-s2878" xml:space="preserve">de mot. </s>
            <s xml:id="echoid-s2879" xml:space="preserve">aquar. </s>
            <s xml:id="echoid-s2880" xml:space="preserve">part. </s>
            <s xml:id="echoid-s2881" xml:space="preserve">5. </s>
            <s xml:id="echoid-s2882" xml:space="preserve">diſc. </s>
            <s xml:id="echoid-s2883" xml:space="preserve">1. </s>
            <s xml:id="echoid-s2884" xml:space="preserve">ubi mentionem facit alicujus fontis ſa-
              <lb/>
            lientis, qui eſt à Chantilly, ad quem aquæ devehuntur per canalem 184. </s>
            <s xml:id="echoid-s2885" xml:space="preserve">pertic{as}
              <lb/>
            longum, ſi modo recte ex antecedentibus conjeci, eratque ſumma ſuperficiei
              <lb/>
            aqueæ altitudo ſupra orificium effluxus indicata per a ſedecim pedum: </s>
            <s xml:id="echoid-s2886" xml:space="preserve">diame-
              <lb/>
            ter aquæductus erat 5. </s>
            <s xml:id="echoid-s2887" xml:space="preserve">poll. </s>
            <s xml:id="echoid-s2888" xml:space="preserve">orificium autem habebat diametrum unius pollicis.
              <lb/>
            </s>
            <s xml:id="echoid-s2889" xml:space="preserve">Videtur mihi Mariottus ita loqui ac ſi accelerationes multo fuiſſent tardiores,
              <lb/>
            quam ab formula noſtra indicantur, quod neſcio an tribuendum ſit huic quod
              <lb/>
            fortaſſe alium, præter orificium de quo hic ſermo eſt, exitum habuerint aquæ,
              <lb/>
            an, quod aquæ ductus dum fluxus inciperet non fuerit aqua plenus, quod
              <lb/>
            poſterius multa faciunt, ut credam; </s>
            <s xml:id="echoid-s2890" xml:space="preserve">ſi neutrum fuerit, confido phænomena
              <lb/>
            qualia à Mariotto obſervata fuerunt & </s>
            <s xml:id="echoid-s2891" xml:space="preserve">quotidie de novo obſervari poterunt pla-
              <lb/>
            ne conveniſſe cum calculo noſtro. </s>
            <s xml:id="echoid-s2892" xml:space="preserve">Cæterum verba Mariotti hæc ſunt: </s>
            <s xml:id="echoid-s2893" xml:space="preserve">
              <lb/>
            Illud inſuper, ait, ſingulari eidem jactui accidit, quod obturato manu orifici@
              <lb/>
            per decem aut duodecim ſcrupulorum ſecundorum temporis ſpatium eodem{q́ue}; </s>
            <s xml:id="echoid-s2894" xml:space="preserve">po-
              <lb/>
            ſtea reſerato, aqua non protin{us} erumpat, ſed paullatim aſſurgens jact{us} aſcen-
              <lb/>
            dat ad 3. </s>
            <s xml:id="echoid-s2895" xml:space="preserve">poll. </s>
            <s xml:id="echoid-s2896" xml:space="preserve">poſtea ad pedis altitudinem & </s>
            <s xml:id="echoid-s2897" xml:space="preserve">deni ad du@s pedes ſucceſsive no-
              <lb/>
            tabilibus intervallis.</s>
            <s xml:id="echoid-s2898" xml:space="preserve">..</s>
            <s xml:id="echoid-s2899" xml:space="preserve">..</s>
            <s xml:id="echoid-s2900" xml:space="preserve">.. </s>
            <s xml:id="echoid-s2901" xml:space="preserve">Sedtandem tamen toto impetu ſuo aquæ exiliebant.</s>
            <s xml:id="echoid-s2902" xml:space="preserve"/>
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        <div xml:id="echoid-div110" type="section" level="1" n="83">
          <head xml:id="echoid-head108" xml:space="preserve">Problema.</head>
          <p>
            <s xml:id="echoid-s2903" xml:space="preserve">§. </s>
            <s xml:id="echoid-s2904" xml:space="preserve">14. </s>
            <s xml:id="echoid-s2905" xml:space="preserve">Invenire quantitatem aquæ per datum vas, conſtanter plenum
              <lb/>
            conſervandum, dato tempore transfluentem.</s>
            <s xml:id="echoid-s2906" xml:space="preserve"/>
          </p>
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