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

Table of contents

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[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.
[151.] Regula 5.
[152.] Demonſtratio.
[153.] Regula 6.
[154.] Demonſtratio.
[155.] Scholium.
[156.] Regula 7.
[157.] Scholium.
[158.] Exemplum 1.
[159.] Exemplum 2.
[160.] Digreſſus continens aliquas commentationes in Ma-chinam Hydraulicam quam repræſent at figura 51.
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          <p>
            <s xml:id="echoid-s4719" xml:space="preserve">
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            utrumque orificium G & </s>
            <s xml:id="echoid-s4720" xml:space="preserve">D limbum haberet inſtar Zonulæ paullulum
              <lb/>
            elevatum, ne contractioni venarum locus eſſet, tutumque fieri poſſet judi-
              <lb/>
            cium à quantitate aquæ dato tempore effluentis ad velocitates. </s>
            <s xml:id="echoid-s4721" xml:space="preserve">Deinde ſum-
              <lb/>
            tis accuratè menſuris, obſervatoque tempore quo ſuperficies per datum ſpa-
              <lb/>
            tium A P deſcenderet, vidi tempus iſtud recte reſpondere velocitatibus dicto
              <lb/>
            paragrapho definitis: </s>
            <s xml:id="echoid-s4722" xml:space="preserve">obſervavi etiam nihilo mutari motum ab elevatione
              <lb/>
            aut depreſſione diaphragmatis. </s>
            <s xml:id="echoid-s4723" xml:space="preserve">Reliqua ad experimentum pertinentia me-
              <lb/>
            moria exciderunt, neque ea in chartam conjeci: </s>
            <s xml:id="echoid-s4724" xml:space="preserve">ſuperfluum autem duxi ex-
              <lb/>
            perimentum repetere, quod unicuique facile erit imitari: </s>
            <s xml:id="echoid-s4725" xml:space="preserve">fundamentum au-
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            tem id eſt reliquis, quæ adeoque ulteriori diſquiſitione experimentali vix
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            opus habent: </s>
            <s xml:id="echoid-s4726" xml:space="preserve">volui tamen ſequentia præterea tentare.</s>
            <s xml:id="echoid-s4727" xml:space="preserve"/>
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        <div xml:id="echoid-div175" type="section" level="1" n="136">
          <head xml:id="echoid-head179" xml:space="preserve">Experimentum 2.</head>
          <p>
            <s xml:id="echoid-s4728" xml:space="preserve">Vaſe uſus|ſum, quale fere adhibuit Mariottus (vid. </s>
            <s xml:id="echoid-s4729" xml:space="preserve">fig. </s>
            <s xml:id="echoid-s4730" xml:space="preserve">38.) </s>
            <s xml:id="echoid-s4731" xml:space="preserve">rurſusque
              <lb/>
            confirmavi æquationem noſtram hunc in modum: </s>
            <s xml:id="echoid-s4732" xml:space="preserve">feci ut aquæ per orificium
              <lb/>
            D horizontaliter effluerent, tuncque menſuras cepi altitudinis orificii D ſu-
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            pra pavimentum & </s>
            <s xml:id="echoid-s4733" xml:space="preserve">diſtantiam loci, ubi vena in pavimentum incidebat à
              <lb/>
            puncto in eodem pavimento, cui orificium D verticaliter imminebat; </s>
            <s xml:id="echoid-s4734" xml:space="preserve">Inde
              <lb/>
            cognovi altitudinem velocitati aquæ in D effluentis debitam: </s>
            <s xml:id="echoid-s4735" xml:space="preserve">eandem autem
              <lb/>
            hanc altitudinem experimento proxime inveneram, quam theoria hujus ſe-
              <lb/>
            ctionis indicat §. </s>
            <s xml:id="echoid-s4736" xml:space="preserve">IV. </s>
            <s xml:id="echoid-s4737" xml:space="preserve">Similia experimenta apponam in fine experimentorum
              <lb/>
            ad ſectionem duodecimam pertinentium, quæ ſimul theoriam noſtram hy-
              <lb/>
            draulico - ſtaticam confirmabunt.</s>
            <s xml:id="echoid-s4738" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s4739" xml:space="preserve">Denique cum multa ſint in §. </s>
            <s xml:id="echoid-s4740" xml:space="preserve">§. </s>
            <s xml:id="echoid-s4741" xml:space="preserve">26. </s>
            <s xml:id="echoid-s4742" xml:space="preserve">& </s>
            <s xml:id="echoid-s4743" xml:space="preserve">27. </s>
            <s xml:id="echoid-s4744" xml:space="preserve">quæ ſingulari calculo eruta
              <lb/>
            fuerunt, operæ pretium erit de illis quoque experimenta ſumere, præſertim
              <lb/>
            cum alia ſimul eadem opera ſumi poterunt experimenta, quæ in ſect. </s>
            <s xml:id="echoid-s4745" xml:space="preserve">XII.
              <lb/>
            </s>
            <s xml:id="echoid-s4746" xml:space="preserve">recenſebuntur, ſi vas, quale Fig. </s>
            <s xml:id="echoid-s4747" xml:space="preserve">43. </s>
            <s xml:id="echoid-s4748" xml:space="preserve">ſiſtit, ad hunc finem fieri curetur.</s>
            <s xml:id="echoid-s4749" xml:space="preserve"/>
          </p>
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            <s xml:id="echoid-s4750" xml:space="preserve">Cæterum hæc theoria etiam confirmatur experimentis in Sectione Septima
              <lb/>
            recenſitis, quæ de oſcillationibus fluidorum in tubos per foramina influen-
              <lb/>
            tium ſumſi.</s>
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