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

Table of contents

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[161.] Definitio.
[162.] CAPUT XXI. De Viribus Centralibus.
[163.] Definitio 1.
[164.] Definitio 2.
[165.] Definitio 3.
[166.] Machina
[167.] Experimentum 1.
[168.] Experimentum 2.
[169.] Experimentum 3.
[170.] Definitio 4.
[171.] Experimentum 4.
[172.] Experimentum 5.
[173.] Experimentum 6.
[174.] Experimentum 7.
[175.] Experimentum 8.
[176.] Experimentum 9.
[177.] Experimentum. 10.
[178.] Experimentum II.
[179.] Experimentum 12
[180.] Experimentum 13.
[181.] SCHOLIUM 1. Generalia de viribus centralibus.
[182.] SCHOLIUM 2. De Motu in Circulo.
[183.] SHOLIUM 3. De Motu in Ellipſi.
[184.] SCHOLIUM 4. De Motu in orbitâ agitatâ
[185.] SCHOLIUM 5. De Motu in Ellipſi agitatâ.
[186.] SCHOLIUM. 6 De Computatione motuum Apſidum in curvis parum cum circulo differentibus.
[187.] LIBRI I. PARS IV. De Viribus inſitis, & Colliſione corporum. CAPUT XXII. De Viribus corporibus motis inſitis.
[188.] Machina. Qua corporum motorum vires conferuntur.
[189.] Experimenta i2
[190.] Experimenta 2R.
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            <s xml:id="echoid-s4794" xml:space="preserve">
              <pb o="117" file="0179" n="195" rhead="MATHEMATICA. LIB. I. CAP. XXII."/>
            mittatur ſucceſſive ab altitudine octodecim pollicum &</s>
            <s xml:id="echoid-s4795" xml:space="preserve">
              <note symbol="*" position="right" xlink:label="note-0179-01" xlink:href="note-0179-01a" xml:space="preserve">453.</note>
            ab altitudine trium pedum , ita ut iterum pateat vires
              <note symbol="*" position="right" xlink:label="note-0179-02" xlink:href="note-0179-02a" xml:space="preserve">455.</note>
            ut altitudines. </s>
            <s xml:id="echoid-s4796" xml:space="preserve">Concluſiones ſimiles ex aliis experimentis
              <lb/>
            deducuntur.</s>
            <s xml:id="echoid-s4797" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4798" xml:space="preserve">Dum cavitas formatur ſingula augmenta minora ſunt & </s>
            <s xml:id="echoid-s4799" xml:space="preserve">
              <lb/>
            inter ſe ut numeri particularum quæ cedunt, & </s>
            <s xml:id="echoid-s4800" xml:space="preserve">ut ſpatia
              <lb/>
            per quæ inter alias moventur, id eſt augmenta hæc ſunt ut
              <lb/>
            vires quas corpus hæc augmenta formando amittit : </s>
            <s xml:id="echoid-s4801" xml:space="preserve">
              <note position="right" xlink:label="note-0179-03" xlink:href="note-0179-03a" xml:space="preserve">* 461.</note>
            que augmentorum ſumma, id eſt integra cavitas, ſequitur
              <lb/>
              <note position="right" xlink:label="note-0179-04" xlink:href="note-0179-04a" xml:space="preserve">464.</note>
            proportionem ſummæ virium amiſſarum, id eſt, vis amiſſæ in
              <lb/>
            formatione integræ cavitatis. </s>
            <s xml:id="echoid-s4802" xml:space="preserve">Quod cum memoratis
              <lb/>
            Experimentis congruit .</s>
            <s xml:id="echoid-s4803" xml:space="preserve"/>
          </p>
          <note symbol="*" position="right" xml:space="preserve">456.</note>
        </div>
        <div xml:id="echoid-div702" type="section" level="1" n="190">
          <head xml:id="echoid-head272" xml:space="preserve">
            <emph style="sc">Experimenta</emph>
          2
            <emph style="super">R</emph>
          .</head>
          <p>
            <s xml:id="echoid-s4804" xml:space="preserve">Ex Ebore formantur cylindri duo AB, DC, diametri
              <lb/>
              <note position="right" xlink:label="note-0179-06" xlink:href="note-0179-06a" xml:space="preserve">465.</note>
            ſeſquipollicis, hemiſphericæ ſunt extremitates A, D, co-
              <lb/>
              <note position="right" xlink:label="note-0179-07" xlink:href="note-0179-07a" xml:space="preserve">
                <emph style="sc">TAB. XVL</emph>
                <lb/>
              ſig. 6.</note>
            nicæ reliquæ B, C. </s>
            <s xml:id="echoid-s4805" xml:space="preserve">Minoris longitudo eſt fere duorum pol-
              <lb/>
            licum cum ſemiſſe; </s>
            <s xml:id="echoid-s4806" xml:space="preserve">alter duobus pollicibus longior eſt,
              <lb/>
            & </s>
            <s xml:id="echoid-s4807" xml:space="preserve">hujus pondus duplum exacte eſt ponderis alterius. </s>
            <s xml:id="echoid-s4808" xml:space="preserve">Cum
              <lb/>
            his cohærent fila in extremitatibus conicis.</s>
            <s xml:id="echoid-s4809" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4810" xml:space="preserve">Deſideratur ut in extremitatibus A & </s>
            <s xml:id="echoid-s4811" xml:space="preserve">D axium eandem
              <lb/>
            habeat ebur elaſticitatem, quod facilius obtinetur quàm
              <lb/>
            quis forte crederet; </s>
            <s xml:id="echoid-s4812" xml:space="preserve">ſi ad illud attendamus ut puncta illa
              <lb/>
            coincidant cum axe ipſius dentis, quamvis in hoc pun-
              <lb/>
            cto elaſticitas omnium minima ſit, ad quod hîc non atten-
              <lb/>
            dimus.</s>
            <s xml:id="echoid-s4813" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4814" xml:space="preserve">Scrupulus omnis circa æqualitatem hanc elaſticitatis tol-
              <lb/>
            li poteſt, ſi duo cylindri conſtruantur æquales, & </s>
            <s xml:id="echoid-s4815" xml:space="preserve">ſimiles cy-
              <lb/>
            lindro DC; </s>
            <s xml:id="echoid-s4816" xml:space="preserve">dimittantur hi a diverſis, ſed ſemper pro am-
              <lb/>
            bobus æqualibus, altitudinibus, quod ut fiat filis ſuis ut C c
              <lb/>
            retinentur, quibus relaxatis impingunt cylindrorum partes
              <lb/>
            ut D in planum horizontale, quod ex ceruleo marmore
              <lb/>
            deſideratur, & </s>
            <s xml:id="echoid-s4817" xml:space="preserve">probe admodum firmatum, paululum etiam
              <lb/>
            madefactum, ut color magis ſit intenſus. </s>
            <s xml:id="echoid-s4818" xml:space="preserve">In impactu par-
              <lb/>
            tes elaſticæ intropremuntur maculamque notabilem admo-
              <lb/>
            dum & </s>
            <s xml:id="echoid-s4819" xml:space="preserve">circinnatam cylindri in marmore, aut potius in hu-
              <lb/>
            mido vapore quo obtegitur, relinquunt; </s>
            <s xml:id="echoid-s4820" xml:space="preserve">ſi amborum </s>
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