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

Table of contents

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[341.] Experimentum 3.
[342.] Experimentum 4.
[343.] SCHOLIUM, Demonſtrationes n. 914. & 915.
[344.] F f, F g :: FC aut IH, FH
[345.] CAPUT XII. De Retardatione Corporum in Fluidis motorum.
[346.] Machina, Qua Experimenta de Pendulorum Retardationibus inſtituuntur.
[347.] Experimentum.
[348.] SCHOLIUM 1. De Logarithmica.
[349.] Definitio 1.
[350.] Definitio 2.
[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.
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              <pb o="297" file="0401" n="438" rhead="MATHEMATICA. LIB. II. CAP XIII."/>
            enim corpore hanc obtegi quod grave eſt, cujus partes im-
              <lb/>
            preſſioni cuicunque cedunt, & </s>
            <s xml:id="echoid-s10834" xml:space="preserve">facillime moventur inter
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            ſe, quod premit pro altitudine ſua, & </s>
            <s xml:id="echoid-s10835" xml:space="preserve">cujus preſſio omnes
              <lb/>
            partes verſus eſt æqualis.</s>
            <s xml:id="echoid-s10836" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1540" type="section" level="1" n="365">
          <head xml:id="echoid-head503" xml:space="preserve">
            <emph style="sc">Definitio</emph>
          1.</head>
          <p style="it">
            <s xml:id="echoid-s10837" xml:space="preserve">Omnis aër, quo Terra circumdatur, ſimul conſideratus,
              <lb/>
              <note position="right" xlink:label="note-0401-01" xlink:href="note-0401-01a" xml:space="preserve">1051</note>
            vocatur Telluris Atmoſphæra, aut ſimpliciter Atmoſphæra.</s>
            <s xml:id="echoid-s10838" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1542" type="section" level="1" n="366">
          <head xml:id="echoid-head504" xml:space="preserve">
            <emph style="sc">Definitio</emph>
          2.</head>
          <p style="it">
            <s xml:id="echoid-s10839" xml:space="preserve">Aëris altitudo ſupra Terræ ſuperficiem vocatur Atmoſphæ-
              <lb/>
              <note position="right" xlink:label="note-0401-02" xlink:href="note-0401-02a" xml:space="preserve">1052.</note>
            ræ altitudo.</s>
            <s xml:id="echoid-s10840" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10841" xml:space="preserve">Ubique in Telluris ſuperficie corpus dari, quamvis ipſius
              <lb/>
              <note position="right" xlink:label="note-0401-03" xlink:href="note-0401-03a" xml:space="preserve">1053.</note>
            partes plerumque viſum fugiant, experimento con
              <lb/>
            ſtat .</s>
            <s xml:id="echoid-s10842" xml:space="preserve"/>
          </p>
          <note symbol="*" position="right" xml:space="preserve">27</note>
          <p>
            <s xml:id="echoid-s10843" xml:space="preserve">Hoc impreſſioni cuicunque cedere, & </s>
            <s xml:id="echoid-s10844" xml:space="preserve">ipſius partes facile
              <lb/>
              <note position="right" xlink:label="note-0401-05" xlink:href="note-0401-05a" xml:space="preserve">1054.</note>
            moveri, a nemine in dubium vocari poteſt.</s>
            <s xml:id="echoid-s10845" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10846" xml:space="preserve">Grave eſſe probatur, quia in ceterorum fluidorum ſu-
              <lb/>
              <note position="right" xlink:label="note-0401-06" xlink:href="note-0401-06a" xml:space="preserve">1055.</note>
            perficies premit, hæcque in tubis ſuſtinet.</s>
            <s xml:id="echoid-s10847" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1547" type="section" level="1" n="367">
          <head xml:id="echoid-head505" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          1.</head>
          <p>
            <s xml:id="echoid-s10848" xml:space="preserve">Detur tubus vitreus AB, longitudinis circiter trium
              <lb/>
              <note position="right" xlink:label="note-0401-07" xlink:href="note-0401-07a" xml:space="preserve">1056.</note>
            pedum, & </s>
            <s xml:id="echoid-s10849" xml:space="preserve">cujus cavitatis diameter ſit quartæ partis unius
              <lb/>
              <note position="right" xlink:label="note-0401-08" xlink:href="note-0401-08a" xml:space="preserve">TAB XXXVIII.
                <lb/>
              fig. 2.</note>
            pollicis; </s>
            <s xml:id="echoid-s10850" xml:space="preserve">ſi extremitas A obturetur, & </s>
            <s xml:id="echoid-s10851" xml:space="preserve">tubus mercurio re-
              <lb/>
            pleatur, alteraque extremitas vaſe V mercurium continenti
              <lb/>
            immergatur, mercurius ſuſtinebitur ad altitudinem circi-
              <lb/>
            ter viginti novem pollicum. </s>
            <s xml:id="echoid-s10852" xml:space="preserve">Oritur hoc ex aëris preſſio-
              <lb/>
            ne in ſuperficiem mercurii in vaſe, quæ ubique æqualiter
              <lb/>
            premi non poteſt, niſi in tubo, cui aër nullus ineſt, mercu-
              <lb/>
            rii columna detur, quæ æqualiter cum aëre exteriori pre-
              <lb/>
            mat . </s>
            <s xml:id="echoid-s10853" xml:space="preserve">Tubus hic Torricellianus dicitur; </s>
            <s xml:id="echoid-s10854" xml:space="preserve">a primo qui
              <note symbol="*" position="right" xlink:label="note-0401-09" xlink:href="note-0401-09a" xml:space="preserve">709.</note>
            exp. </s>
            <s xml:id="echoid-s10855" xml:space="preserve">demonſtravit Torricelli.</s>
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        <div xml:id="echoid-div1549" type="section" level="1" n="368">
          <head xml:id="echoid-head506" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          2.</head>
          <p>
            <s xml:id="echoid-s10857" xml:space="preserve">Ne mutetur hæc preſſio, quando tubus inclinatur, re-
              <lb/>
              <note position="right" xlink:label="note-0401-10" xlink:href="note-0401-10a" xml:space="preserve">1057.</note>
            quiritur, ut eandem mercurius ſervet altitudinem vertica-
              <lb/>
              <note position="right" xlink:label="note-0401-11" xlink:href="note-0401-11a" xml:space="preserve">TAB. XXXVIII.
                <lb/>
              fig. 1.</note>
            lem ; </s>
            <s xml:id="echoid-s10858" xml:space="preserve">ideò ſi dentur duo vaſa, hydrargyrum
              <note symbol="*" position="right" xlink:label="note-0401-12" xlink:href="note-0401-12a" xml:space="preserve">715.</note>
            in quibus tubi, ut dictum, immerguntur, quorum ED
              <lb/>
            ad horizontem inclinatur, ſuſtinetur mercurius ad </s>
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