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

Page concordance

< >
Scan Original
111 97
112 98
113 99
114 100
115 101
116 102
117 103
118 104
119 105
120 106
121 107
122 108
123 109
124 110
125 111
126 112
127 113
128 114
129 115
130 116
131 117
132 118
133 119
134 120
135 121
136 122
137 123
138
139 125
140 126
< >
page |< < (102) of 361 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <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"/>
          </p>
        </div>
        <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>
        </div>
      </text>
    </echo>
Impressum