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

Table of contents

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[351.] AC, HI :: LM, RS ; & dividendo
[352.] TC, VM:: AC, LM.
[353.] C c, c E:: CA, AT, & M m, m O :: ML, LV.
[354.] SCHOLIUM 2. De Retardatione in genere.
[355.] SCHOLIUM 3. De Retardatione ex prima Cauſa.
[356.] SCHOLIUM 4. De Retardatione ex ſecunda Cauſâ.
[357.] SCHOLIUM 5. De ambabus Retardationibus conjunctim.
[358.] B Iq - PRq, PRq :: AI-AB = BI, AB.
[359.] SCHOLIUM. 6 De Corporibus in altum projectis.
[360.] SCHOLIUM. 7. De Corporibus in Fluidis cadentibus.
[361.] f L, k M :: {E e/FE}, {Ii/KI} :: {CD/FE} = {BA/FE} -{BE/FE}, {GH/KI} = {BA/KI} - {BI/KI}
[362.] fL, kM :: {BA/FE}-{FE/BA}, {BA/KI} = {KI/BA}
[363.] SCHOLIUM 8. Illuſtratio quorundam quæ ad retardationem ſpectant.
[364.] LIBRI II. Pars III. De Aëre, & aliis Fluidis Elaſticis. CAPUT XIII. Aërem Fluidorum proprietates habere.
[365.] Definitio 1.
[366.] Definitio 2.
[367.] Experimentum 1.
[368.] Experimentum 2.
[369.] Experimentum 3.
[370.] Experimentum 4.
[371.] CAPUT XIV. De Aëris Elaſticitate.
[372.] Experimentum. 1.
[373.] Machina, Qua Aëris Dilatationes, ut & Vires comprimentes, conferuntur inter ſe.
[374.] Experimentum 2.
[375.] Experimentum 3.
[376.] Experimentum 4.
[377.] CAPUT XV. De quibuſdam aliis Fluidis Elaſticis.
[378.] Experimentum I.
[379.] Experimentum 2.
[380.] CAPUT XVI. De Antlia Pneumatica.
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            <s xml:id="echoid-s8785" xml:space="preserve">
              <pb o="235" file="0327" n="358" rhead="MATHEMATICA. LIB. II. CAP. VII."/>
            e a (EA in fig. </s>
            <s xml:id="echoid-s8786" xml:space="preserve">5.) </s>
            <s xml:id="echoid-s8787" xml:space="preserve">Angulus a directione, juxta quam mer-
              <lb/>
            curius ex foramine exit, cum horizonte formatus menſura-
              <lb/>
            tur ope quadrantis circuli diviſi q, juxta quem movetur in-
              <lb/>
            dex f b, qui pondere ſuo ſemper in ſitu verticali retinetur.
              <lb/>
            </s>
            <s xml:id="echoid-s8788" xml:space="preserve">Quadrans hicce videtur in fig. </s>
            <s xml:id="echoid-s8789" xml:space="preserve">7. </s>
            <s xml:id="echoid-s8790" xml:space="preserve">index eſt FH. </s>
            <s xml:id="echoid-s8791" xml:space="preserve">A poſteriori
              <lb/>
            parte duo dantur annuli, per quos tranſit manubrium EA
              <lb/>
            fig. </s>
            <s xml:id="echoid-s8792" xml:space="preserve">5.</s>
            <s xml:id="echoid-s8793" xml:space="preserve">; quando manubrium hocce eſt in ſitu verticali, index
              <lb/>
            cum diviſione anguli 45. </s>
            <s xml:id="echoid-s8794" xml:space="preserve">gr. </s>
            <s xml:id="echoid-s8795" xml:space="preserve">congruit, & </s>
            <s xml:id="echoid-s8796" xml:space="preserve">directio motus mer-
              <lb/>
            curii exeuntis in eo caſu angulum ſemi-rectum cum hori-
              <lb/>
            zonte efficit.</s>
            <s xml:id="echoid-s8797" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8798" xml:space="preserve">In fig. </s>
            <s xml:id="echoid-s8799" xml:space="preserve">1. </s>
            <s xml:id="echoid-s8800" xml:space="preserve">proſilitiones mercurii juxta varias directiones re-
              <lb/>
            præſentantur: </s>
            <s xml:id="echoid-s8801" xml:space="preserve">ſenſibiles hæ redduntur ope tabulæ ligneæ G,
              <lb/>
            nigro colore tinctæ, quam mercurius in motu ſuo fere ra-
              <lb/>
            dit; </s>
            <s xml:id="echoid-s8802" xml:space="preserve">in hac, quod hìc repræſentari non potuit, ſecundum di-
              <lb/>
            cta in n. </s>
            <s xml:id="echoid-s8803" xml:space="preserve">331.</s>
            <s xml:id="echoid-s8804" xml:space="preserve">, delineantur viæ a corpore, eadem celeritate,
              <lb/>
            juxta directiones varios angulos cum horizonte ſormantes,
              <lb/>
            percurſæ; </s>
            <s xml:id="echoid-s8805" xml:space="preserve">ſemi-circulus etiam AL fig. </s>
            <s xml:id="echoid-s8806" xml:space="preserve">5. </s>
            <s xml:id="echoid-s8807" xml:space="preserve">Tab. </s>
            <s xml:id="echoid-s8808" xml:space="preserve">XIII. </s>
            <s xml:id="echoid-s8809" xml:space="preserve">in
              <lb/>
            hac tabula deſcribitur.</s>
            <s xml:id="echoid-s8810" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8811" xml:space="preserve">Variæ tales tabulæ dantur, in quibus hæc eadem pro
              <lb/>
            diverſis celeritatibus repræſentantur.</s>
            <s xml:id="echoid-s8812" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8813" xml:space="preserve">Tabula fere in medio arcæ erigitur, & </s>
            <s xml:id="echoid-s8814" xml:space="preserve">cohæret cum la-
              <lb/>
            tere EFH, ita ut juxta longitudinem pyxidis moveri poſ-
              <lb/>
            ſit.</s>
            <s xml:id="echoid-s8815" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8816" xml:space="preserve">Celeritas mercurii proſilientis variatur mutando inclina-
              <lb/>
            tionem regulæ n m, & </s>
            <s xml:id="echoid-s8817" xml:space="preserve">deſcenſu pyxidis p; </s>
            <s xml:id="echoid-s8818" xml:space="preserve">apertura, ex qua
              <lb/>
            proſilit hydrargyrum, ad altitudinem delineationi in tabula
              <lb/>
            congruentem diſponitur.</s>
            <s xml:id="echoid-s8819" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8820" xml:space="preserve">Siſtitur hydrargyri proſilitio obturando cavitatem a b (fig.
              <lb/>
            </s>
            <s xml:id="echoid-s8821" xml:space="preserve">2.) </s>
            <s xml:id="echoid-s8822" xml:space="preserve">paxillo DE (fig. </s>
            <s xml:id="echoid-s8823" xml:space="preserve">4.)</s>
            <s xml:id="echoid-s8824" xml:space="preserve"/>
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        <div xml:id="echoid-div1249" type="section" level="1" n="317">
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            <emph style="sc">Experimentum</emph>
          4.</head>
          <p>
            <s xml:id="echoid-s8825" xml:space="preserve">Partibus Machinæ conjunctis, & </s>
            <s xml:id="echoid-s8826" xml:space="preserve">diſpoſitis, ut in deſcri-
              <lb/>
              <note position="right" xlink:label="note-0327-01" xlink:href="note-0327-01a" xml:space="preserve">818.</note>
            ptione dictum, inclinetur regula n m, donec altitudo, ad quam
              <lb/>
              <note position="right" xlink:label="note-0327-02" xlink:href="note-0327-02a" xml:space="preserve">TAB. XXXII.
                <lb/>
              fig. 1.</note>
            proſilit mercurius, quando directione, quæ a verticali pau-
              <lb/>
            lulum admodum divergit, in altum adſcendit, fere æquet
              <lb/>
            diametrum ſemi-circuli in tabula G delineati. </s>
            <s xml:id="echoid-s8827" xml:space="preserve">Ad talem
              <lb/>
            altitudinem pyxis p conſtituatur, & </s>
            <s xml:id="echoid-s8828" xml:space="preserve">tabula G </s>
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