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

Table of contents

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[201.] Scholium.
Page: 275 (261)
[202.] Corollarium 3.
Page: 276 (262)
[203.] Problema.
Page: 276 (262)
[204.] Solutio.
Page: 277 (263)
[205.] Corollarium.
Page: 278 (264)
[206.] Exemplum 1.
Page: 279 (265)
[207.] Exemplum 2.
Page: 279 (265)
[208.] Exemplum 3.
Page: 280 (266)
[209.] Exemplum 4.
Page: 281 (267)
[210.] EXPERIMENTA Hydraulico - ſtatica pro Sectione XII. Ad §. §. 3. & 4.
Page: 287 (273)
[211.] Experimentum 1.
Page: 288 (274)
[212.] Experimentum 2.
Page: 288 (274)
[213.] Experimentum 3.
Page: 289 (275)
[214.] Experimentum 4.
Page: 289 (275)
[215.] Experimentum 5.
Page: 289 (275)
[216.] Experimentum 6.
Page: 290 (276)
[217.] Experimentum 7.
Page: 291 (277)
[218.] Experimentum 8.
Page: 291 (277)
[219.] Experimentum 9.
Page: 291 (277)
[220.] Experimentum 10.
Page: 291 (277)
[221.] HYDRODYNAMICÆ SECTIO DECIMA TERTIA. De reactione fluidorum ex vaſis efflluentium eo-rundemque, poſtquam effluxerunt, impetu in plana quibus occurrunt. §. 1.
Page: 292 (278)
[222.] Problema.
Page: 308 (294)
[223.] Solutio.
Page: 308 (294)
[224.] Problema.
Page: 309 (295)
[225.] Solutio.
Page: 309 (295)
[226.] Corollarium.
Page: 309 (295)
[227.] Problema.
Page: 310 (296)
[228.] Solutio.
Page: 310 (296)
[229.] Scholium.
Page: 311 (297)
[230.] Problema.
Page: 311 (297)
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            <emph style="bf">HYDRODYNAMICÆ</emph>
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          <head xml:id="echoid-head251" xml:space="preserve">
            <emph style="bf">SECTIO DUODECIMA.</emph>
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          <head xml:id="echoid-head252" style="it" xml:space="preserve">Quæ ſtaticam fluidorum motorum, quam hy-
            <lb/>
          draulico - ſtaticam voco, exhibet.</head>
          <head xml:id="echoid-head253" xml:space="preserve">§ 1.</head>
          <p>
            <s xml:id="echoid-s7531" xml:space="preserve">INter eos, qui preſſionis fluidorum intra vaſa ſubſiſtentium men-
              <lb/>
            ſuras dederunt, pauci regulas Hydroſtaticæ vulgares, quas in
              <lb/>
            ſectione ſecunda demonſtravimus, transgreſſi ſunt: </s>
            <s xml:id="echoid-s7532" xml:space="preserve">multa tamen
              <lb/>
            alia ſunt, quæ ad Hydroſtaticam proprie ſic dictam pertinent,
              <lb/>
            veluti cum actioni gravitatis vis centrifuga conjuncta eſt, aut vis inertiæ,
              <lb/>
            quod utrumque in præcedente ſectione commentati ſumus: </s>
            <s xml:id="echoid-s7533" xml:space="preserve">poſſentque hu-
              <lb/>
            jusmodi vires mortuæ excogitari & </s>
            <s xml:id="echoid-s7534" xml:space="preserve">combinari infinitis aliis modis. </s>
            <s xml:id="echoid-s7535" xml:space="preserve">Non
              <lb/>
            vero hæc ſunt, quæ maxime deſideranda mihi videntur: </s>
            <s xml:id="echoid-s7536" xml:space="preserve">cum difficile non
              <lb/>
            ſit regulas ad id negotium dare generales. </s>
            <s xml:id="echoid-s7537" xml:space="preserve">Deſidero potius fluidorum ſtati-
              <lb/>
            cam, quæ intra vaſa moventur motu progreſſivo, veluti aquarum per cana-
              <lb/>
            les ad fontes ſalientes fluentium: </s>
            <s xml:id="echoid-s7538" xml:space="preserve">multiplicis enim uſus eſt, nec ab ullo tra-
              <lb/>
            ctata aut ſi qui mentionem de illa feciſſe dici poſſunt, ab his minime rectè
              <lb/>
            fuit explicata: </s>
            <s xml:id="echoid-s7539" xml:space="preserve">qui enim de preſſione aquarum per aquæ ductus fluentium
              <lb/>
            horumque requiſita firmitate ad preſſionem illam ſuſtinendam dixerunt, non
              <lb/>
            alias, quam pro fluidis nullo motu latis leges tradiderunt.</s>
            <s xml:id="echoid-s7540" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7541" xml:space="preserve">§. </s>
            <s xml:id="echoid-s7542" xml:space="preserve">2. </s>
            <s xml:id="echoid-s7543" xml:space="preserve">Singulare eſt in iſta hydraulico - ſtatica, quod niſus aquarum
              <lb/>
            prius definiri non poſſit, quam motus recte fuerit cognitus, quæ ratio eſt,
              <lb/>
            quod tam diu latuit hæc doctrina; </s>
            <s xml:id="echoid-s7544" xml:space="preserve">parum enim ſolliciti hactenus fuerunt Au-
              <lb/>
            ctores in motu aquarum diſquirendo, & </s>
            <s xml:id="echoid-s7545" xml:space="preserve">velocitates ubique fere ex ſola aquæ
              <lb/>
            altitudine æſtimarunt: </s>
            <s xml:id="echoid-s7546" xml:space="preserve">quamvis autem ſæpe motus tam cito ad hanc veloci-
              <lb/>
            tatem tendat, ut accelerationes ſenſibus plane diſtingui nequeant, & </s>
            <s xml:id="echoid-s7547" xml:space="preserve">in in-
              <lb/>
            ſtanti omnis motus generari videatur, intereſt tamen, ut hæ accelerationes
              <lb/>
            recte intelligantur, quia aliter preſſiones aquarum fluentium definiri ſæpe
              <lb/>
            non poſſunt, proptereaque exiſtimavi, rem eſſe maximi momenti à motus
              <lb/>
            principio usque ad datum terminum mutationes illas utcunque </s>
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