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

Table of contents

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[121.] EXPERIMENTA Ad ſect. ſept. referenda. Experimentum 1.
[122.] Experimentum 2.
[123.] Experimentum 3.
[124.] De iſto tubo experimentum ita ſumſi:
[125.] Experimentum 4.
[126.] Experimentum 5.
[127.] HYDRODYNAMICÆ SECTIO OCTAVA. De motu fluidorum cum homogeneorum tum hetero-geneorum per vaſa irregularis & præruptæ ſtru-cturæ, ubi ex theoria virium vivarum, quarum pars continue abſorbeatur, explicantur præcipue Phæno-mena ſingularia fluidorum, per plurima foramina trajecto-rum, præmiſsis regulis generalibus pro motibus fluido-rum ubique definiendis. §. 1.
[128.] Regula 1.
[129.] Regula 2.
[130.] Problema.
[131.] Solutio.
[132.] Scholium 1.
[133.] Scholium 2.
[134.] Corollarium.
[135.] EXPERIMENTA Ad ſectionem octavam pertinentia. Experimentum 1.
[136.] Experimentum 2.
[137.] HYDRODYNAMICÆ SECTIO NONA. De motu fluidorum, quæ non proprio pondere, ſed potentia aliena ejiciuntur, ubi præſertim de Machinis Hydraulicis earundemque ultimo qui da-ri poteſt perfectionis gradu, & quomodo mecha-nica tam ſolidorum quam fluidorum ulterius perſici poſsit. §. 1.
[138.] Definitiones.
[139.] (A) De machinis aquas cum impetu in altum projicientibus. Regula 1.
[140.] Demonſtratio.
[141.] Scholium.
[142.] Regula 2.
[143.] Demonſtratio.
[144.] Scholium.
[145.] Regula 3.
[146.] Demonſtratio.
[147.] Scholium.
[148.] Regula 4.
[149.] Demonſtratio.
[150.] Scholium.
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            Iſtas autem differentias, utut nunquam perfecte orituras, minimo tamen
              <lb/>
            tempore proxime adfuturas eſſe.</s>
            <s xml:id="echoid-s3115" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s3116" xml:space="preserve">Quæ reliqua funt in hâc ſectione Corollaria & </s>
            <s xml:id="echoid-s3117" xml:space="preserve">Scholia quisque facile
              <lb/>
            videbit, quo modo ad experimenta vocari poſſint: </s>
            <s xml:id="echoid-s3118" xml:space="preserve">Velim autem, prius-
              <lb/>
            quam judicium ferat, attentus ſit ad omnes circumſtantias ratione impedi-
              <lb/>
            mentorum, contractionis venæ, aliorumque, quas nolo ubique repetere.
              <lb/>
            </s>
            <s xml:id="echoid-s3119" xml:space="preserve">Ad §.</s>
            <s xml:id="echoid-s3120" xml:space="preserve">§. </s>
            <s xml:id="echoid-s3121" xml:space="preserve">17. </s>
            <s xml:id="echoid-s3122" xml:space="preserve">& </s>
            <s xml:id="echoid-s3123" xml:space="preserve">18. </s>
            <s xml:id="echoid-s3124" xml:space="preserve">Experimenta pro confirmatione problematis §. </s>
            <s xml:id="echoid-s3125" xml:space="preserve">17. </s>
            <s xml:id="echoid-s3126" xml:space="preserve">ad
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            vaſa non ſubmerſa pertinentis, vide p. </s>
            <s xml:id="echoid-s3127" xml:space="preserve">26. </s>
            <s xml:id="echoid-s3128" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s3129" xml:space="preserve">cit. </s>
            <s xml:id="echoid-s3130" xml:space="preserve">Jll. </s>
            <s xml:id="echoid-s3131" xml:space="preserve">Poleni.</s>
            <s xml:id="echoid-s3132" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3133" xml:space="preserve">Cum vero in vaſe ſubmerſo eſſet altitudo a = 55. </s>
            <s xml:id="echoid-s3134" xml:space="preserve">lin. </s>
            <s xml:id="echoid-s3135" xml:space="preserve">Paris. </s>
            <s xml:id="echoid-s3136" xml:space="preserve">(quæ altitu-
              <lb/>
            do ei dicitur mortua) quinque inſtituit experimenta, in quibus altitudo,
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            quam dicit, viva ſeu α erat ſucceſſive linearum 8 {3/4}; </s>
            <s xml:id="echoid-s3137" xml:space="preserve">25; </s>
            <s xml:id="echoid-s3138" xml:space="preserve">42; </s>
            <s xml:id="echoid-s3139" xml:space="preserve">58 & </s>
            <s xml:id="echoid-s3140" xml:space="preserve">73 {1/2}:
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            </s>
            <s xml:id="echoid-s3141" xml:space="preserve">his ſubſtitutis valoribus in æquatione §. </s>
            <s xml:id="echoid-s3142" xml:space="preserve">18. </s>
            <s xml:id="echoid-s3143" xml:space="preserve">exhibita ſequitur, quantitates
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            aquarum dato tempore affuſarum fuiſſe ut 100; </s>
            <s xml:id="echoid-s3144" xml:space="preserve">199; </s>
            <s xml:id="echoid-s3145" xml:space="preserve">299; </s>
            <s xml:id="echoid-s3146" xml:space="preserve">396 & </s>
            <s xml:id="echoid-s3147" xml:space="preserve">495: </s>
            <s xml:id="echoid-s3148" xml:space="preserve">
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            actu affuſæ fuerunt in ratione ut 100, 200, 300, 400, & </s>
            <s xml:id="echoid-s3149" xml:space="preserve">500: </s>
            <s xml:id="echoid-s3150" xml:space="preserve">differen-
              <lb/>
            tia tantilla eſt, ut dubitari poſſit, an non perfectus conſenſus futurus
              <lb/>
            fuiſſet, ſi omnes menſuræ rectiſſime haberi potuiſſent.</s>
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            <s xml:id="echoid-s3152" xml:space="preserve">Reliqua etiam experimenta à viro Cl. </s>
            <s xml:id="echoid-s3153" xml:space="preserve">inſtituta cum theoria perfecte
              <lb/>
            conſentiunt: </s>
            <s xml:id="echoid-s3154" xml:space="preserve">calculum eorum videre eſt apud ipſum Auctorem. </s>
            <s xml:id="echoid-s3155" xml:space="preserve">E re au-
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            tem duxi eadem hic apponere, quia ad argumentum hujusce ſectionis per-
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            tinent, quamvis cæterum libenter fatear, me magis deſiderare illa experi-
              <lb/>
            menta, quæ à calculo mutationem momentanearum, nemini quod ſciam ad-
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            huc conſideratarum, pendent, quam quæ ſtatum permanentem ſupponunt.</s>
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