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

Table of contents

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[231.] Experimentum 12.
Page: 246 (159)
[232.] SCHOLIUM I. Uberior demonſtratio n. 558.
Page: 247 (160)
[233.] SCHOLIUM 2. Illuſtratio circa mutuam corporum elaſticorum actionem.
Page: 251 (161)
[234.] SCHOLIUM 3. Paradoxi explicatio.
Page: 256 (163)
[235.] CAPUT XXV. De motu compoſito.
Page: 257 (164)
[236.] CAPUT XXVI. De Percuſſione obliqua. Definitio 1.
Page: 261 (168)
[237.] Definitio. 2.
Page: 261 (168)
[238.] Machina.
Page: 262 (169)
[239.] Experimentum. I.
Page: 263 (170)
[240.] CAPUT XXVII. De Colliſione compoſita. Definitio.
Page: 268 (172)
[241.] Experimentum. 1
Page: 276 (177)
[242.] Experimentum 2.
Page: 276 (177)
[243.] Experimentum 3.
Page: 279 (180)
[244.] SCHOLIUM 1. Demonſtrationes n. 623. 625. 626. 627.
Page: 279 (180)
[245.] SCHOLIUM 2. Inveſtigatio motus memorati in n. 633.
Page: 284 (182)
[246.] SCHOLIUM 3. Demonſtratio n. 637.
Page: 286 (184)
[247.] CAPUT XXVIII. De Motu Centri gravitatis.
Page: 286 (184)
[248.] Definitio.
Page: 286 (184)
[249.] SCHOLIUM 1. Demonſtratio n. 660.
Page: 289 (187)
[250.] SCHOLIUM 2. Demonſtrationes n. 658. ut & 648.
Page: 290 (188)
[251.] SCHOLIUM 3.
Page: 291 (189)
[252.] CAPUT XXIX. De Legibus Elaſticitatis.
Page: 292 (190)
[253.] Definitio.
Page: 296 (191)
[254.] Machina Qua Experimenta de Elaſticitate inſtituuntur.
Page: 297 (192)
[255.] Experimentum. i.
Page: 297 (192)
[256.] Experimentum 2.
Page: 299 (194)
[257.] Experimentum 3.
Page: 299 (194)
[258.] Experimentum 4.
Page: 300 (195)
[259.] Experimentum 5.
Page: 302 (197)
[260.] Experimentum 6.
Page: 304 (199)
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              <pb o="199" file="0279" n="304" rhead="MATHEMATICA. LIB. I. CAP. XXIX."/>
            ratione, ſunt lineæ Cd, Cd, & </s>
            <s xml:id="echoid-s7745" xml:space="preserve">CD , quæ ſunt
              <note symbol="*" position="right" xlink:label="note-0279-01" xlink:href="note-0279-01a" xml:space="preserve">293.</note>
            ſe ut velocitates . </s>
            <s xml:id="echoid-s7746" xml:space="preserve">In Sphæra igitur elaſtica ſuperficies
              <note symbol="*" position="right" xlink:label="note-0279-02" xlink:href="note-0279-02a" xml:space="preserve">698.</note>
            næ ex ictibus eandem cum velocitatibus, quibus in obicem
              <lb/>
              <note position="right" xlink:label="note-0279-03" xlink:href="note-0279-03a" xml:space="preserve">699.</note>
            incurrit, proportionem ſequuntur.</s>
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        <div xml:id="echoid-div1074" type="section" level="1" n="260">
          <head xml:id="echoid-head368" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          6.</head>
          <p>
            <s xml:id="echoid-s7748" xml:space="preserve">Detur planum marmoreum, cæruleum, horizontaliter
              <lb/>
              <note position="right" xlink:label="note-0279-04" xlink:href="note-0279-04a" xml:space="preserve">700.</note>
            aliquo in loco firmatum, & </s>
            <s xml:id="echoid-s7749" xml:space="preserve">paululum madefactum, quan-
              <lb/>
              <note position="right" xlink:label="note-0279-05" xlink:href="note-0279-05a" xml:space="preserve">
                <emph style="sc">TA XXVI.</emph>
                <lb/>
              fig. 10.</note>
            tum neceſſe eſt, ut color magis ſit intenſus; </s>
            <s xml:id="echoid-s7750" xml:space="preserve">ſi in illud glo-
              <lb/>
            bus eburneus cadendo impingat, pars globi, quæ plana
              <lb/>
            facta ſeſe lapidi applicat, maculam circinnatam in hujus ſu-
              <lb/>
            perficie relinquit. </s>
            <s xml:id="echoid-s7751" xml:space="preserve">Cadat globus ab altitudine novem pol-
              <lb/>
            licum, & </s>
            <s xml:id="echoid-s7752" xml:space="preserve">ſit macula illa E; </s>
            <s xml:id="echoid-s7753" xml:space="preserve">cadat ab altitudine trium pe-
              <lb/>
            dum prioris quadrupla, & </s>
            <s xml:id="echoid-s7754" xml:space="preserve">ſit macula F; </s>
            <s xml:id="echoid-s7755" xml:space="preserve">tandem cadat ab
              <lb/>
            altitudine ſex pedum & </s>
            <s xml:id="echoid-s7756" xml:space="preserve">novem pollicum noncupla prioris,
              <lb/>
            & </s>
            <s xml:id="echoid-s7757" xml:space="preserve">ſit macula G. </s>
            <s xml:id="echoid-s7758" xml:space="preserve">In hoc Experimento velocitates corporis
              <lb/>
            ſunt inter ſe, ut unum, duo, & </s>
            <s xml:id="echoid-s7759" xml:space="preserve">tria ; </s>
            <s xml:id="echoid-s7760" xml:space="preserve">in qua etiam
              <note symbol="*" position="right" xlink:label="note-0279-06" xlink:href="note-0279-06a" xml:space="preserve">255.</note>
            ne ſunt maculæ E, F, & </s>
            <s xml:id="echoid-s7761" xml:space="preserve">G; </s>
            <s xml:id="echoid-s7762" xml:space="preserve">nam formando triangula re-
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            ctangula DAB, DBC, in quibus latera DA, AB, BC
              <lb/>
            ſunt æqualia inter ſe & </s>
            <s xml:id="echoid-s7763" xml:space="preserve">diametro maculæ E, linea BC ex-
              <lb/>
            actiſſime æqualis erit diametro maculæ F, & </s>
            <s xml:id="echoid-s7764" xml:space="preserve">linea CD dia-
              <lb/>
            metro maculæ G, unde conſtat propoſitum .</s>
            <s xml:id="echoid-s7765" xml:space="preserve">
              <note symbol="*" position="right" xlink:label="note-0279-07" xlink:href="note-0279-07a" xml:space="preserve">47. El. 7.
                <lb/>
              2, El, XI@.</note>
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        <div xml:id="echoid-div1076" type="section" level="1" n="261">
          <head xml:id="echoid-head369" xml:space="preserve">SCHOLIUM.</head>
          <p>
            <s xml:id="echoid-s7766" xml:space="preserve">IN comparandis motibus chordarum, ipſarum inflexionem tantum conſide-
              <lb/>
              <note position="right" xlink:label="note-0279-08" xlink:href="note-0279-08a" xml:space="preserve">701.</note>
            ravimus in puncto medio, non attendendo ad curvaturam ipſius fibræ dum
              <lb/>
            agitatur, quo demonſtrationes de comparandis variarum fibrarum vibratio-
              <lb/>
            nibus non mutatur, fi autem tempus ipſum vibrationis cujuſcunque detegen-
              <lb/>
            dum eſſet, quod fit determinando longitudinem penduli eodem tempore vi-
              <lb/>
            brationes peragentis cum fibra, curvatura hæc conſideranda foret; </s>
            <s xml:id="echoid-s7767" xml:space="preserve">ſed de hoc
              <lb/>
            tempore hìc non agam, neque de curvâ elaſticâ in n. </s>
            <s xml:id="echoid-s7768" xml:space="preserve">691. </s>
            <s xml:id="echoid-s7769" xml:space="preserve">memoratâ; </s>
            <s xml:id="echoid-s7770" xml:space="preserve">quia
              <lb/>
            in hiſce uſus Methodorum fluxionum directæ & </s>
            <s xml:id="echoid-s7771" xml:space="preserve">inverſæ deſideratur, quod ad
              <lb/>
            ipſa Elementa Phyſices ſpectare mihi non videtur.</s>
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        <div xml:id="echoid-div1078" type="section" level="1" n="262">
          <head xml:id="echoid-head370" xml:space="preserve">FINIS LIBRI PRIMI.</head>
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