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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          <p>
            <s xml:id="echoid-s8997" xml:space="preserve">
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            numerorum quadrata. </s>
            <s xml:id="echoid-s8998" xml:space="preserve">Unde ſequitur tempora, in qui-
              <lb/>
            bus partes reſpondentes evacuantur, etiam eſſe inter ſe ut
              <lb/>
            unum ad duo; </s>
            <s xml:id="echoid-s8999" xml:space="preserve">quia in tempore duplo, celeritate dupla,
              <lb/>
            quantitas quadrupla evacuatur. </s>
            <s xml:id="echoid-s9000" xml:space="preserve">Cum autem tempora ſint
              <lb/>
            in eadem ratione pro ſingulis partibus reſpondentibus, tem-
              <lb/>
            pora, in quibus integra vaſa evacuantur, ſunt etiam ut
              <lb/>
            unum ad duo. </s>
            <s xml:id="echoid-s9001" xml:space="preserve">Si vaſa ſint ut 1 ad 9. </s>
            <s xml:id="echoid-s9002" xml:space="preserve">tempora, ut de-
              <lb/>
            monſtratione ſimili evincitur, erunt ut 1. </s>
            <s xml:id="echoid-s9003" xml:space="preserve">ad 3; </s>
            <s xml:id="echoid-s9004" xml:space="preserve">& </s>
            <s xml:id="echoid-s9005" xml:space="preserve">in gene-
              <lb/>
            re tempora ſunt ut celeritates, quibus partes reſpondentes
              <lb/>
            evacuantur, quarum celeritatum quadrata ſunt ut vaſorum
              <lb/>
            altitudines, in qua ratione ergo etiam ſunt
              <note symbol="*" position="left" xlink:label="note-0336-01" xlink:href="note-0336-01a" xml:space="preserve">799.</note>
            porum.</s>
            <s xml:id="echoid-s9006" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1277" type="section" level="1" n="324">
          <head xml:id="echoid-head451" xml:space="preserve">
            <emph style="sc">Experimentum i.</emph>
          </head>
          <p>
            <s xml:id="echoid-s9007" xml:space="preserve">Dentur ex metallo tenui tria vaſa cylindrica A, C, B,
              <lb/>
              <note position="left" xlink:label="note-0336-02" xlink:href="note-0336-02a" xml:space="preserve">840.</note>
            diametros æquales habentia, & </s>
            <s xml:id="echoid-s9008" xml:space="preserve">quorum altitudines ſunt ut
              <lb/>
              <note position="left" xlink:label="note-0336-03" xlink:href="note-0336-03a" xml:space="preserve">TAB. XXXIII.
                <lb/>
              fig 7.</note>
            unum, tria, & </s>
            <s xml:id="echoid-s9009" xml:space="preserve">quatuor; </s>
            <s xml:id="echoid-s9010" xml:space="preserve">unumquodque inciſionem in ora ha-
              <lb/>
            beat, qua effluit aqua certam ſuperans altitudinem, quæ pro
              <lb/>
            vaſis altitudine habetur; </s>
            <s xml:id="echoid-s9011" xml:space="preserve">in fundis vaſorum A & </s>
            <s xml:id="echoid-s9012" xml:space="preserve">B, quæ
              <lb/>
            ſunt ut unum & </s>
            <s xml:id="echoid-s9013" xml:space="preserve">quatuor, foramina æqualia dentur, & </s>
            <s xml:id="echoid-s9014" xml:space="preserve">a-
              <lb/>
            quà impleantur; </s>
            <s xml:id="echoid-s9015" xml:space="preserve">eodem momento foramina aperiantur; </s>
            <s xml:id="echoid-s9016" xml:space="preserve">ſi
              <lb/>
            aqua ex B fluens vaſe C recipiatur, impletur hoc in tem-
              <lb/>
            pore in quo A evacuatur: </s>
            <s xml:id="echoid-s9017" xml:space="preserve">C continet tres partes quartas
              <lb/>
            vaſis B; </s>
            <s xml:id="echoid-s9018" xml:space="preserve">partem quartam, quæ ſupereſt, æquali etiamtem-
              <lb/>
            pore cum vaſe A evacuari, a nemine in dubium vocari po-
              <lb/>
            teſt; </s>
            <s xml:id="echoid-s9019" xml:space="preserve">bis ergo evacuatur A, dum B ſemel.</s>
            <s xml:id="echoid-s9020" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s9021" xml:space="preserve">Tempora, in quibus vaſa cylindrica quæcunque evacuan-
              <lb/>
              <note position="left" xlink:label="note-0336-04" xlink:href="note-0336-04a" xml:space="preserve">841.</note>
            tur, ſunt in ratione compoſita baſium , inverſa
              <note symbol="*" position="left" xlink:label="note-0336-05" xlink:href="note-0336-05a" xml:space="preserve">838.</note>
            num , & </s>
            <s xml:id="echoid-s9022" xml:space="preserve">radicum quadratarum altitudinum .</s>
            <s xml:id="echoid-s9023" xml:space="preserve"/>
          </p>
          <note symbol="*" position="left" xml:space="preserve">837.</note>
          <note symbol="*" position="left" xml:space="preserve">839.</note>
          <p>
            <s xml:id="echoid-s9024" xml:space="preserve">Dividi ita poteſt, vas cylindricum, ut partes inter diviſio-
              <lb/>
              <note position="left" xlink:label="note-0336-08" xlink:href="note-0336-08a" xml:space="preserve">842.</note>
            nes interceptæ æqualibus temporibus evacuentur, quod
              <lb/>
              <note position="left" xlink:label="note-0336-09" xlink:href="note-0336-09a" xml:space="preserve">TAB. XXXIII.
                <lb/>
              fig 6.</note>
            fiet, ſi diviſionum a baſi diſtantiæ fuerint ut numerorum na-
              <lb/>
            turalium quadrata; </s>
            <s xml:id="echoid-s9025" xml:space="preserve">tempora enim evacuationum vaſorum,
              <lb/>
            quorum altitudines hanc ſequuntur proportionem, ſunt
              <lb/>
            ut numeri naturales , & </s>
            <s xml:id="echoid-s9026" xml:space="preserve">temporum differentiæ
              <note symbol="*" position="left" xlink:label="note-0336-10" xlink:href="note-0336-10a" xml:space="preserve">839.</note>
            les.</s>
            <s xml:id="echoid-s9027" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9028" xml:space="preserve">Tempus in quo vas cylindricum evacuatur eſt ut </s>
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