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

Table of contents

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[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)
[231.] Solutio.
Page: 311 (297)
[232.] Corollarium.
Page: 312 (298)
[233.] Scholium.
Page: 313 (299)
[234.] EXPERIMENTA In Sectionem decimam tertiam.
Page: 316 (302)
[235.] Experimentum 1.
Page: 317 (303)
[236.] Experimentum 2.
Page: 317 (303)
[237.] Experimentum 3.
Page: 317 (303)
[238.] Experimentum 4.
Page: 318 (304)
[239.] FINIS.
Page: 318 (304)
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          <pb o="303" file="0317" n="317" rhead="SECTIO DECIMA TERTIA."/>
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        <div xml:id="echoid-div311" type="section" level="1" n="235">
          <head xml:id="echoid-head298" xml:space="preserve">Experimentum 1.</head>
          <p>
            <s xml:id="echoid-s9059" xml:space="preserve">Feci ipſe aliquando omnia, ut nunc monui, viſumque fuit regulam
              <lb/>
            noſtram §. </s>
            <s xml:id="echoid-s9060" xml:space="preserve">2. </s>
            <s xml:id="echoid-s9061" xml:space="preserve">recte confirmari: </s>
            <s xml:id="echoid-s9062" xml:space="preserve">non potui tamen tum temporis fufficiente
              <lb/>
            accuratione experimentum inſtituere, nec illud poſtea repetii.</s>
            <s xml:id="echoid-s9063" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div312" type="section" level="1" n="236">
          <head xml:id="echoid-head299" xml:space="preserve">Experimentum 2.</head>
          <p>
            <s xml:id="echoid-s9064" xml:space="preserve">Alio tempore rem aliter tentavi: </s>
            <s xml:id="echoid-s9065" xml:space="preserve">vas nempe de quo omnes menſuras
              <lb/>
            requiſitas ſumſeram aqua plenum naviculæ impoſui in puppi: </s>
            <s xml:id="echoid-s9066" xml:space="preserve">navicula aquis
              <lb/>
            in alveo innatabat: </s>
            <s xml:id="echoid-s9067" xml:space="preserve">Deinde aquis ex vaſe effluentibus (ita tamen ut in navicu-
              <lb/>
            lam non illiderent) navicula in plagam contrariam progreſſa eſt: </s>
            <s xml:id="echoid-s9068" xml:space="preserve">velocitatem
              <lb/>
            naviculæ ex ſpatio dato tempore percurſo rectiſſime exploravi. </s>
            <s xml:id="echoid-s9069" xml:space="preserve">Deinde in-
              <lb/>
            quiſivi quantum ponduſculum naviculæ eſſet appendendum, ut illo pondere
              <lb/>
            ſollicitata eandem velocitatem acquireret. </s>
            <s xml:id="echoid-s9070" xml:space="preserve">Inſtituta deinde comparatione iſtius
              <lb/>
            ponderis cum pondere cylindri aquei datæ diametri, inde rectiſſime theoriam
              <lb/>
            noſtram confirmari vidi.</s>
            <s xml:id="echoid-s9071" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div313" type="section" level="1" n="237">
          <head xml:id="echoid-head300" xml:space="preserve">Experimentum 3.</head>
          <p>
            <s xml:id="echoid-s9072" xml:space="preserve">Effluentibus aquis ex vaſe naviculæ ſuperimpoſito in naviculam, hæc
              <lb/>
            omnino immota permanſit: </s>
            <s xml:id="echoid-s9073" xml:space="preserve">Id indicat impetum venæ aqueæ æqualem eſſe vi
              <lb/>
            repellenti, ut demonſtravi §. </s>
            <s xml:id="echoid-s9074" xml:space="preserve">§. </s>
            <s xml:id="echoid-s9075" xml:space="preserve">16. </s>
            <s xml:id="echoid-s9076" xml:space="preserve">& </s>
            <s xml:id="echoid-s9077" xml:space="preserve">17. </s>
            <s xml:id="echoid-s9078" xml:space="preserve">Tum etiam ſi vena aquea directe
              <lb/>
            impingebat in planum naviculæ affixum, hæc fimiliter immota ſtetit, quod
              <lb/>
            rurſus æqualitatem impetus & </s>
            <s xml:id="echoid-s9079" xml:space="preserve">vis repellentis probat: </s>
            <s xml:id="echoid-s9080" xml:space="preserve">at ſi vena oblique in pla-
              <lb/>
            num incidebat, navicula quidem motum obtinuit ſed lentiorem.</s>
            <s xml:id="echoid-s9081" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9082" xml:space="preserve">Denique ſi aquæ effluentes à navicula excipiebantur, ita ut orificium
              <lb/>
            aquis in navicula ſtagnantibus eſſet ſubmerſum, ſimiliter abſque motu perſte-
              <lb/>
            tit navicula, documento, quod eadem preſſio à vena oriatur, ſive fiat ut om-
              <lb/>
            nis ejus motus cohibeatur, ſive ut ad angulum rectum declinetur, prouti de-
              <lb/>
            monſtratum fuit §. </s>
            <s xml:id="echoid-s9083" xml:space="preserve">18. </s>
            <s xml:id="echoid-s9084" xml:space="preserve">æqualitatem inter vim repellentem & </s>
            <s xml:id="echoid-s9085" xml:space="preserve">vim venæ aqueæ
              <lb/>
            perpendiculariter in planum incidentis plurimis aliis modis exactiſſime confir-
              <lb/>
            mavi. </s>
            <s xml:id="echoid-s9086" xml:space="preserve">Hanc autem vim theoriæ noſtræ conformem opinionique omnibus </s>
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