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

Table of contents

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[151.] Regula 5.
Page: 182 (168)
[152.] Demonſtratio.
Page: 183 (169)
[153.] Regula 6.
Page: 183 (169)
[154.] Demonſtratio.
Page: 184 (170)
[155.] Scholium.
Page: 184 (170)
[156.] Regula 7.
Page: 184 (170)
[157.] Scholium.
Page: 185 (171)
[158.] Exemplum 1.
Page: 185 (171)
[159.] Exemplum 2.
Page: 186 (172)
[160.] Digreſſus continens aliquas commentationes in Ma-chinam Hydraulicam quam repræſent at figura 51.
Page: 187 (173)
[161.] Regula 8.
Page: 190 (176)
[162.] Scholium.
Page: 191 (177)
[163.] Regula 9.
Page: 191 (177)
[164.] Scholium.
Page: 191 (177)
[165.] Scholium Generale.
Page: 192 (178)
[166.] (B) De machinis hydraulicis aquas ſine not abili impetu ex loco humiliori in altiorem tranſportantibus. Regula 10.
Page: 192 (178)
[167.] Demonſtratio.
Page: 193 (179)
[168.] Corollarium.
Page: 193 (179)
[169.] Scholium 1.
Page: 193 (179)
[170.] Scholium 2.
Page: 194 (180)
[171.] Scholium Generale.
Page: 194 (180)
[172.] Commentationes ſpeciales de Cochlea Archimedis.
Page: 197 (183)
[173.] Problema.
Page: 200 (186)
[174.] Solutio.
Page: 200 (186)
[175.] Scholium 1.
Page: 200 (186)
[176.] Scholium 2.
Page: 201 (187)
[177.] Scholium 3.
Page: 202 (188)
[178.] Scholium 4.
Page: 202 (188)
[179.] Problema.
Page: 203 (189)
[180.] Solutio.
Page: 203 (189)
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        <div xml:id="echoid-div153" type="section" level="1" n="121">
          <head xml:id="echoid-head157" xml:space="preserve">EXPERIMENTA</head>
          <head xml:id="echoid-head158" xml:space="preserve">Ad ſect. ſept. referenda.</head>
          <head xml:id="echoid-head159" xml:space="preserve">Experimentum 1.</head>
          <p>
            <s xml:id="echoid-s4051" xml:space="preserve">TUbum adhibui vitreum cylindricum diametri fere quatuor linearum,
              <lb/>
            inferius totum apertum. </s>
            <s xml:id="echoid-s4052" xml:space="preserve">Eum aquæ, in vaſe pellucido ampliſſimo
              <lb/>
            ſtagnanti, ſubmerſi ad altitudinem 44. </s>
            <s xml:id="echoid-s4053" xml:space="preserve">lin. </s>
            <s xml:id="echoid-s4054" xml:space="preserve">digitumque orificio admo-
              <lb/>
            vi ſuperno, ne extrahendo tubi partem deſcenderet in illo aqua: </s>
            <s xml:id="echoid-s4055" xml:space="preserve">extraxi
              <lb/>
            deinceps tubum ad alt. </s>
            <s xml:id="echoid-s4056" xml:space="preserve">22. </s>
            <s xml:id="echoid-s4057" xml:space="preserve">lin. </s>
            <s xml:id="echoid-s4058" xml:space="preserve">ita ut tam pars tubi ſubmerſa, quam altitudo
              <lb/>
            aquæ internæ@ſupra externam eſſet 22. </s>
            <s xml:id="echoid-s4059" xml:space="preserve">lin. </s>
            <s xml:id="echoid-s4060" xml:space="preserve">moxque remoto digito obſervavi
              <lb/>
            deſcenſum ſuperficiei in tubo infra ſuperficiem aquæ ſtagnantis eumque vidi
              <lb/>
            fuiſſe 9 {1/2} lin,</s>
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          <p>
            <s xml:id="echoid-s4061" xml:space="preserve">Debuiſſet autem vi §. </s>
            <s xml:id="echoid-s4062" xml:space="preserve">§. </s>
            <s xml:id="echoid-s4063" xml:space="preserve">7. </s>
            <s xml:id="echoid-s4064" xml:space="preserve">& </s>
            <s xml:id="echoid-s4065" xml:space="preserve">17. </s>
            <s xml:id="echoid-s4066" xml:space="preserve">deſcendere tredecim lineis; </s>
            <s xml:id="echoid-s4067" xml:space="preserve">Defectus
              <lb/>
            trium linearum cum dimidia unice fere adhæſioni aquæ ad latera tubi tribuen-
              <lb/>
            dus videtur.</s>
            <s xml:id="echoid-s4068" xml:space="preserve"/>
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            <s xml:id="echoid-s4069" xml:space="preserve">Obſervato deſcenſu totum experimentum repetii, ut aſcenſum quoque
              <lb/>
            proximum experirer: </s>
            <s xml:id="echoid-s4070" xml:space="preserve">Viſus autem mihi fuit 8. </s>
            <s xml:id="echoid-s4071" xml:space="preserve">lin. </s>
            <s xml:id="echoid-s4072" xml:space="preserve">qui vi paragraphi deci-
              <lb/>
            mi ſexti, habito reſpectu ad prævium deſcenſum, eſſe debuerat 9 {1/2} lin.
              <lb/>
            </s>
            <s xml:id="echoid-s4073" xml:space="preserve">nempe tantus, quantus fuit præcedens deſcenſus. </s>
            <s xml:id="echoid-s4074" xml:space="preserve">Hic vero experimentum
              <lb/>
            unica tantum linea cum dimidia defecit, cum in prima experimenti parte ad
              <lb/>
            tres uſque lineas cum dimidia defectus adfuit, quia nimirum major ibi facta
              <lb/>
            fuit excurſio eaque velocitate majori, ita ut impedimenta, quæ una cum velo-
              <lb/>
            citatibus creſcunt, admodum majora offenderit.</s>
            <s xml:id="echoid-s4075" xml:space="preserve"/>
          </p>
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          <head xml:id="echoid-head160" xml:space="preserve">Experimentum 2.</head>
          <p>
            <s xml:id="echoid-s4076" xml:space="preserve">Eodem tubo uſus ſum, ſed eo lamina munito, quæ foramine erat per-
              <lb/>
            tuſa amplitudine √ {1/2} ratione amplitudinis tubi, cum ſuperficies tubi eſſet
              <lb/>
            octodecim lineis elevata ſupra aquam ſtagnantem, totidemque lineis fundum
              <lb/>
            ſubmerſum, vidi ſuperficiem tubi in deſcenſu quinque fere lineis infra aquam
              <lb/>
            ſtagnantem deſcendiſſe.</s>
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            <s xml:id="echoid-s4078" xml:space="preserve">Paragraphus octavus autem deſcenſum arguit 7 {1/2} lin. </s>
            <s xml:id="echoid-s4079" xml:space="preserve">defectum, qui
              <lb/>
            plusquam 2 {1/2} lin. </s>
            <s xml:id="echoid-s4080" xml:space="preserve">fuit, rurſus adhæſioni aquæ ad latera tubi adſcribo.</s>
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