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

Table of contents

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[141.] Scholium.
Page: 179 (165)
[142.] Regula 2.
Page: 180 (166)
[143.] Demonſtratio.
Page: 180 (166)
[144.] Scholium.
Page: 181 (167)
[145.] Regula 3.
Page: 181 (167)
[146.] Demonſtratio.
Page: 181 (167)
[147.] Scholium.
Page: 181 (167)
[148.] Regula 4.
Page: 182 (168)
[149.] Demonſtratio.
Page: 182 (168)
[150.] Scholium.
Page: 182 (168)
[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)
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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"/>
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            <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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