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

Table of contents

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[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.
[191.] Experimentum 3.
[192.] CAPUT XXIII. De Colliſione corporum. Definitio I.
[193.] Definitio 2.
[194.] Definitio 3.
[195.] Machina Qua experimenta circa colliſiones corporum inſtituuntur.
[196.] Machina Alia, cujus ope eadem Experimenta circa colliſio-nes inſtituuntur.
[197.] Experimentumi.
[198.] Experimentum 2.
[199.] Experimentum 3.
[200.] Experimentum 4.
[201.] Experimentum 5.
[202.] Experimentum 6.
[203.] Experimentum 7.
[204.] Experimentum 8.
[205.] Experimentum 9.
[206.] Experimentum 10.
[207.] Experimentum 11.
[208.] Experimentum 12.
[209.] SCHOLIUM 1. Demonſtrationes n. 499. 510
[210.] Demonſtrationes Algebraicæ n. 513. 516.
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            <s xml:id="echoid-s4685" xml:space="preserve">
              <pb o="114" file="0174" n="189" rhead="PHYSICES ELEMENTA"/>
            ſingulis; </s>
            <s xml:id="echoid-s4686" xml:space="preserve">Vis enim corporis eſt ſumma virium omnium par-
              <lb/>
            ticularum ex quibus conſtat, & </s>
            <s xml:id="echoid-s4687" xml:space="preserve">ſingulæ particulæ minimæ
              <lb/>
            æquales vires habent æquales, ſivelocitate eâdem ferantur;
              <lb/>
            </s>
            <s xml:id="echoid-s4688" xml:space="preserve">idcirco in corporibus æque velocibus ſunt vires, ut nume-
              <lb/>
            ri particularum æqualium materiæ in ſingulis.</s>
            <s xml:id="echoid-s4689" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div687" type="section" level="1" n="188">
          <head xml:id="echoid-head269" xml:space="preserve">
            <emph style="sc">Machina.</emph>
          </head>
          <head xml:id="echoid-head270" xml:space="preserve">Qua corporum motorum vires conferuntur.</head>
          <p>
            <s xml:id="echoid-s4690" xml:space="preserve">Aſſeris AB longitudo eſt unius pedis, latitudo decem
              <lb/>
              <note position="left" xlink:label="note-0174-01" xlink:href="note-0174-01a" xml:space="preserve">451.</note>
            pollicum, craſſities pollicum duorum. </s>
            <s xml:id="echoid-s4691" xml:space="preserve">Excavatur hic in
              <lb/>
              <note position="left" xlink:label="note-0174-02" xlink:href="note-0174-02a" xml:space="preserve">
                <emph style="sc">TAB XVI.</emph>
                <lb/>
              fig. 5.</note>
            a b c d ad profunditatem unius pollicis cum ſemiſſe, & </s>
            <s xml:id="echoid-s4692" xml:space="preserve">
              <lb/>
            cum pedibus EE, EE, quibus ſuſtinetur firmiter conne-
              <lb/>
            ctitur.</s>
            <s xml:id="echoid-s4693" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4694" xml:space="preserve">Pedibus hiſce etiam quatuor ſuſtinentur columnæ ligneæ
              <lb/>
            CD, CD, CD, CD, ad angulos ipſius aſſeris. </s>
            <s xml:id="echoid-s4695" xml:space="preserve">Colu-
              <lb/>
            mnarum altitudo excedit paululum pedestres. </s>
            <s xml:id="echoid-s4696" xml:space="preserve">Duæ quæ pede
              <lb/>
            eodem, juxta latitudinem aſſeris poſito, inhærent, regulis
              <lb/>
            minoribus ee, ee, f, f, g, g, b, b, junguntur ita, ut
              <lb/>
            regula RR, tranſiens inter minores reſpondentes, parallela
              <lb/>
            ſit ſuperficiei aſſeris.</s>
            <s xml:id="echoid-s4697" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4698" xml:space="preserve">Tres globi (fig. </s>
            <s xml:id="echoid-s4699" xml:space="preserve">4.) </s>
            <s xml:id="echoid-s4700" xml:space="preserve">æquales, diametri ſesquipollicis, ex
              <lb/>
            ære formantur; </s>
            <s xml:id="echoid-s4701" xml:space="preserve">ſolidus unus eſt C, reliqui duo cavi; </s>
            <s xml:id="echoid-s4702" xml:space="preserve">conſtant
              <lb/>
            hi ſinguli ex hemiſphæriis duobus A, a, & </s>
            <s xml:id="echoid-s4703" xml:space="preserve">B, b, quæ co-
              <lb/>
            ehleâ junguntur. </s>
            <s xml:id="echoid-s4704" xml:space="preserve">Globorum pondera ſunt inter ſe ut u-
              <lb/>
            num, duo, tria.</s>
            <s xml:id="echoid-s4705" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4706" xml:space="preserve">Ubi Experimenta inſtituenda ſunt, argillâ molli, & </s>
            <s xml:id="echoid-s4707" xml:space="preserve">homo-
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            geneâ, exacte repletur cavitas a b c d, & </s>
            <s xml:id="echoid-s4708" xml:space="preserve">cultro ligneo,
              <lb/>
            quod ex argillâ prominet, abraditur, ut hujus ſuperficies
              <lb/>
            non modo exacte plana ſit, ſed & </s>
            <s xml:id="echoid-s4709" xml:space="preserve">idem formet planum cum
              <lb/>
            illo quod ex aſſeris ſuperficie ſupereſt, cavitatiſque oras
              <lb/>
            format.</s>
            <s xml:id="echoid-s4710" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4711" xml:space="preserve">Regula memorata RR inferius paululum juxta longitudi-
              <lb/>
            nem, excavata eſt, ut globum quemcunque ex memoratis
              <lb/>
            recipiat, qui in G videtur, dum manu M tenetur. </s>
            <s xml:id="echoid-s4712" xml:space="preserve">In
              <lb/>
            hoc ſitu inferius globi punctum ab argillæ ſuperficie diſtat
              <lb/>
            pollicibus novem. </s>
            <s xml:id="echoid-s4713" xml:space="preserve">Diſtantia hæc dupla eſt, ſiregula RR tranſ-
              <lb/>
            eat inter regulas f, f, f, f, ſi inter regulas g, g, tripla;</s>
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