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

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[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.
[381.] Machina Pneumatica.
[382.] CAPUT XVII. Experimenta varia circa Aëris Gravitatem & hujus Elaſticitatem.
[383.] Experimentum 1.
[384.] Experimentum 2.
[385.] Experimentum 3.
[386.] Experimentum 4.
[387.] Experimentum 5.
[388.] Experimentum 6.
[389.] Experimentum 7.
[390.] Experimentum 8.
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          <pb o="305" file="0409" n="446" rhead="MATHEMATICA. LIB. II. CAP. XIV."/>
          <p>
            <s xml:id="echoid-s11055" xml:space="preserve">In ſecundo caſu vis repellens ad omnes diſtantias eſt æqua-
              <lb/>
            lis; </s>
            <s xml:id="echoid-s11056" xml:space="preserve">tunc enim pendet actio in ſingulas particulas ab harum
              <lb/>
            numero in eadem linea, qui numerus eſt inverſè ut di-
              <lb/>
            ſtantia inter particularum centra. </s>
            <s xml:id="echoid-s11057" xml:space="preserve">Tunc etiam, poſitâ eâ-
              <lb/>
            dem aëris denſitate, ibi major erit elaſticitas, ubi major
              <lb/>
            aëris quantitas, quod cum experimentis non congruit,
              <lb/>
            primum idcirco caſum locum habere videmus.</s>
            <s xml:id="echoid-s11058" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s11059" xml:space="preserve">Effectus elaſticitatis aëris ſimiles ſunt effectibus gravi-
              <lb/>
              <note position="right" xlink:label="note-0409-01" xlink:href="note-0409-01a" xml:space="preserve">1073.</note>
            tatis; </s>
            <s xml:id="echoid-s11060" xml:space="preserve">aerque incluſus elaſticitate eodem modo quàm non
              <lb/>
            incluſus pondere ſuo agit.</s>
            <s xml:id="echoid-s11061" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s11062" xml:space="preserve">Aër, a totius Atmoſphæræ pondere gravatus, omnes
              <lb/>
            partes verſus premit ex ipſa natura fluiditatis , & </s>
            <s xml:id="echoid-s11063" xml:space="preserve">
              <note symbol="*" position="right" xlink:label="note-0409-02" xlink:href="note-0409-02a" xml:space="preserve">711.</note>
            quam exerit ab elaſticitate nullo modo pendere liquet; </s>
            <s xml:id="echoid-s11064" xml:space="preserve">quia,
              <lb/>
            hac poſitâ aut ſublatâ, vis illa, quæ a pondere Atmoſphæ-
              <lb/>
            ræ oritur, & </s>
            <s xml:id="echoid-s11065" xml:space="preserve">huic æqualis eſt, minime mutari poteſt. </s>
            <s xml:id="echoid-s11066" xml:space="preserve">Cum
              <lb/>
            vero aër ſit elaſticus, pondere Atmoſphæræ in tale ſpatium
              <lb/>
            redigitur, ut elaſticitas, qua renititur in pondus compri-
              <lb/>
            mens, hocce pondus æquet . </s>
            <s xml:id="echoid-s11067" xml:space="preserve">Elaſticitas autem
              <note symbol="*" position="right" xlink:label="note-0409-03" xlink:href="note-0409-03a" xml:space="preserve">247.</note>
            & </s>
            <s xml:id="echoid-s11068" xml:space="preserve">minuitur cum diminuta aut aucta diſtantia particularum
              <note symbol="*" position="right" xlink:label="note-0409-04" xlink:href="note-0409-04a" xml:space="preserve">1071.</note>
            & </s>
            <s xml:id="echoid-s11069" xml:space="preserve">non intereſt an pondere Atmoſphæræ an quocunque alio
              <lb/>
            modo aër in certo ſpatio retineatur, in utroque caſu ea-
              <lb/>
            dem cum vi ſeſe expandere conatur, & </s>
            <s xml:id="echoid-s11070" xml:space="preserve">omnes partes ver-
              <lb/>
            ſus premit. </s>
            <s xml:id="echoid-s11071" xml:space="preserve">Idcirco ſi in terræ viciniis aër, ſervata hujus
              <lb/>
            denſitate, includatur, incluſi preſſio valebit totius Atmoſphæ-
              <lb/>
            ræ pondus.</s>
            <s xml:id="echoid-s11072" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1576" type="section" level="1" n="376">
          <head xml:id="echoid-head514" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          4.</head>
          <p>
            <s xml:id="echoid-s11073" xml:space="preserve">Tubus, Torricellianus vitro DC includitur, ita
              <lb/>
              <note position="right" xlink:label="note-0409-05" xlink:href="note-0409-05a" xml:space="preserve">1074.</note>
            ut aër, in ſuperſiciem mercurii vaſe V contenti pre-
              <lb/>
              <note position="right" xlink:label="note-0409-06" xlink:href="note-0409-06a" xml:space="preserve">TAB. XXXIX.
                <lb/>
              fig. 3.</note>
            mens, nullam cum aëre exteriori communicationem ha-
              <lb/>
            beat; </s>
            <s xml:id="echoid-s11074" xml:space="preserve">aëris elaſticitate ad eandem, ac in aëre aperto, ſu-
              <lb/>
            ſtinetur altitudinem mercurius in tubo.</s>
            <s xml:id="echoid-s11075" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s11076" xml:space="preserve">Manente eadem aëris conſtitutione, prædicta ſemper lo-
              <lb/>
              <note position="right" xlink:label="note-0409-07" xlink:href="note-0409-07a" xml:space="preserve">1075.</note>
            cum habent; </s>
            <s xml:id="echoid-s11077" xml:space="preserve">ſed non immutabilis eſt hæc conſtitutio; </s>
            <s xml:id="echoid-s11078" xml:space="preserve">au-
              <lb/>
            getur ſæpe aut minuitur vis repellens particularum, </s>
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