Gravesande, Willem Jacob 's, Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1

Table of contents

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[281.] CAPUT III. De Solidis fluidis immerſis.
[282.] Definitio 1.
[283.] Definitio. 2.
[284.] Definitio. 3.
[285.] Definitio. 4.
[286.] Experimentum 1.
[287.] Experimentum 2.
[288.] Experimentum 3.
[289.] Definitio 5.
[290.] Experimentum 4.
[291.] Experimentum. 5.
[292.] Experimentum 6.
[293.] Experimentum 7.
[294.] Experimentum 8.
[295.] Experimentum 9.
[296.] Experimentum. 10.
[297.] Experimentum 11.
[298.] CAPUT IV. De comparandis Fluidorum Denſitatibus.
[299.] Experimentum 1.
[300.] Machina Qua Fluidorum denſitates conferuntur.
[301.] Experimentum 2.
[302.] Machina Alia qua Fluidorum Denſitates conferuntur.
[303.] Experimentum 3.
[304.] CAPUT V. De hydroſtatica Solidorum Comparatione.
[305.] Machina Qua ſolidorum Corporum Denſitates conferuntur.
[306.] Experimentum
[307.] Machina2. Qua Corporum ſolidorum Denſitates conferuntur.
[308.] LIBRI II. Pars II. De Motu & Reſiſtentiâ Fluidorum. CAPUT VI. De celeritate fluidi, ex preſſione fluidi ſuperincum-bentis.
[309.] Machina Qua Experimenta de Fluidis proſilientibus inſti-tuuntur.
[310.] Experimentum1.
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            perculo, quo pars tubi anterior obtegitur, & </s>
            <s xml:id="echoid-s8559" xml:space="preserve">quod cum
              <lb/>
            hoc ope cochleæ jungitur: </s>
            <s xml:id="echoid-s8560" xml:space="preserve">duo tubi ſimiles aptantur in E
              <lb/>
            circa fundum vaſis AB, & </s>
            <s xml:id="echoid-s8561" xml:space="preserve">in G, hicque ſupra F elevatur
              <lb/>
            quantum ille infra F deprimitur.</s>
            <s xml:id="echoid-s8562" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8563" xml:space="preserve">Circa fundum etiam ejuſdem machinæ firmatur epiſto-
              <lb/>
            mium N, cochleâ inſtructum ut ipſi tubus jungatur.</s>
            <s xml:id="echoid-s8564" xml:space="preserve"/>
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        <div xml:id="echoid-div1223" type="section" level="1" n="310">
          <head xml:id="echoid-head434" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          1.</head>
          <p>
            <s xml:id="echoid-s8565" xml:space="preserve">Vas AB aqua impletur ita, ut altitudo ſuperficiei ſu-
              <lb/>
              <note position="left" xlink:label="note-0320-01" xlink:href="note-0320-01a" xml:space="preserve">798.</note>
            premæ aquæ ſupra fundum vaſis CD foramine in F in duas
              <lb/>
            partes æquales dividatur, quæ ſingulæ in noſtra machina
              <lb/>
            ſunt 15 {3/4}. </s>
            <s xml:id="echoid-s8566" xml:space="preserve">pol. </s>
            <s xml:id="echoid-s8567" xml:space="preserve">Aqua ex hoc foramine ad M proſilit, ita
              <lb/>
            ut diſtantia horizontalis puncti M à foramine ſit 29 {1/2}. </s>
            <s xml:id="echoid-s8568" xml:space="preserve">poll. </s>
            <s xml:id="echoid-s8569" xml:space="preserve">duo-
              <lb/>
            bus poll. </s>
            <s xml:id="echoid-s8570" xml:space="preserve">deficiens ab altitudine aquæ ſupra fundum va-
              <lb/>
            ſis CD; </s>
            <s xml:id="echoid-s8571" xml:space="preserve">ſi ad diſtantiam 31 {1/2} poll. </s>
            <s xml:id="echoid-s8572" xml:space="preserve">pertingeret, percurret
              <lb/>
            aqua, motu æquabili, celeritate cum qua exit, in tempore
              <lb/>
            in quo corpus cadere poteſt ab F ad fundum arcæ CD,
              <lb/>
            fpatium, duplum hujus altitudinis , & </s>
            <s xml:id="echoid-s8573" xml:space="preserve">ideo agitaretur
              <note symbol="*" position="left" xlink:label="note-0320-02" xlink:href="note-0320-02a" xml:space="preserve">327.</note>
            leritate quam corpus ab hac altitudine cadendo poteſt ac-
              <lb/>
            quirere ; </s>
            <s xml:id="echoid-s8574" xml:space="preserve">hæc autem altitudo æqualis eſt altitudini
              <note symbol="*" position="left" xlink:label="note-0320-03" xlink:href="note-0320-03a" xml:space="preserve">257.</note>
            ficiei aquæ ſupra foramen. </s>
            <s xml:id="echoid-s8575" xml:space="preserve">Cum vero tantum pertingat ad
              <lb/>
            diſtantiam 29 {1/2} poll. </s>
            <s xml:id="echoid-s8576" xml:space="preserve">deficit vera aquæ velocitas a velocita-
              <lb/>
            te memorata decima ſexta circiter parte.</s>
            <s xml:id="echoid-s8577" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8578" xml:space="preserve">Sepoſitis retardationibus, quadrata velocitatum, quibus
              <lb/>
              <note position="left" xlink:label="note-0320-04" xlink:href="note-0320-04a" xml:space="preserve">799.</note>
            fluidum ex variis foraminibus exit, ſunt inter ſe ut altitu-
              <lb/>
            dines fluidi ſupra foramina . </s>
            <s xml:id="echoid-s8579" xml:space="preserve">Experimentis etiam
              <note symbol="*" position="left" xlink:label="note-0320-05" xlink:href="note-0320-05a" xml:space="preserve">796. 255.</note>
            retardationes parum admodum hanc proportionem turba-
              <lb/>
            re quamdiu altitudines non excedunt pedes 30. </s>
            <s xml:id="echoid-s8580" xml:space="preserve">aut 35.
              <lb/>
            </s>
            <s xml:id="echoid-s8581" xml:space="preserve">In minoribus altitudinibus proportionem hanc ſequenti Ex-
              <lb/>
            perimento ante oculos ponimus.</s>
            <s xml:id="echoid-s8582" xml:space="preserve"/>
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        <div xml:id="echoid-div1226" type="section" level="1" n="311">
          <head xml:id="echoid-head435" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          2.</head>
          <p>
            <s xml:id="echoid-s8583" xml:space="preserve">Uſu hîc venit Machina ſuperius memorata ; </s>
            <s xml:id="echoid-s8584" xml:space="preserve">& </s>
            <s xml:id="echoid-s8585" xml:space="preserve">
              <note position="left" xlink:label="note-0320-06" xlink:href="note-0320-06a" xml:space="preserve">800.</note>
            exp. </s>
            <s xml:id="echoid-s8586" xml:space="preserve">hoc notamus, diſtantias, ad quas proſilit aqua in fundo
              <lb/>
              <note position="left" xlink:label="note-0320-07" xlink:href="note-0320-07a" xml:space="preserve">TAB. XXXIII.
                <lb/>
              fig. 2.</note>
              <note symbol="*" position="left" xlink:label="note-0320-08" xlink:href="note-0320-08a" xml:space="preserve">797.</note>
            arcæ CD, dum horizontaliter exit ex foramine ut E, po-
              <lb/>
            fitis diverſis ſuperficiei aquæ altitudinibus, eſſe ſpatia hori-
              <lb/>
            zontaliter motu æquabili percurſa, in tempore in quo cor-
              <lb/>
            pus cadendo poteſt percurrere IL æqualem altitudini </s>
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