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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          <p>
            <s xml:id="echoid-s7472" xml:space="preserve">Poſt ictum corpus Q movetur velocitate {2Pv/2P + Q} ; </s>
            <s xml:id="echoid-s7473" xml:space="preserve">eâdem velocitate,
              <note symbol="*" position="left" xlink:label="note-0268-01" xlink:href="note-0268-01a" xml:space="preserve">519.</note>
            ta eandem directionem, feruntur corpora P, P, ſed hæc præterea laterali-
              <lb/>
            ter feruntur viribus quæ valent {2PQvv/2P + Q} ; </s>
            <s xml:id="echoid-s7474" xml:space="preserve">quare utriuſque lateralis
              <note symbol="*" position="left" xlink:label="note-0268-02" xlink:href="note-0268-02a" xml:space="preserve">510. 525.</note>
            locitas eſt {v√Q\x{0020}/√2P + Q\x{0020}} , & </s>
            <s xml:id="echoid-s7475" xml:space="preserve">velocitas abſoluta {v √4PP + 2PQ + QQ\x{0020}/2P + Q} .</s>
            <s xml:id="echoid-s7476" xml:space="preserve">
              <note symbol="*" position="left" xlink:label="note-0268-03" xlink:href="note-0268-03a" xml:space="preserve">470.</note>
              <note symbol="*" position="left" xlink:label="note-0268-04" xlink:href="note-0268-04a" xml:space="preserve">610.</note>
            </s>
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        <div xml:id="echoid-div1035" type="section" level="1" n="252">
          <head xml:id="echoid-head358" xml:space="preserve">CAPUT XXIX.</head>
          <head xml:id="echoid-head359" style="it" xml:space="preserve">De Legibus Elaſticitatis.</head>
          <p>
            <s xml:id="echoid-s7477" xml:space="preserve">QUid ſit Elaſticitas, & </s>
            <s xml:id="echoid-s7478" xml:space="preserve">unde oriatur, jam vidimus ;</s>
            <s xml:id="echoid-s7479" xml:space="preserve">
              <note symbol="*" position="left" xlink:label="note-0268-05" xlink:href="note-0268-05a" xml:space="preserve">701.</note>
            etiam quid ex eo in congreſſu corporum, ſive dire-
              <lb/>
            cte, ſive oblique, in ſe mutuo impingentium eve-
              <lb/>
            niat; </s>
            <s xml:id="echoid-s7480" xml:space="preserve">ſupereſt ut ipſius Elaſticitatis leges examinemus, il-
              <lb/>
            ludque ex Phænomenis.</s>
            <s xml:id="echoid-s7481" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7482" xml:space="preserve">Omnia corpora, in quibus Elaſticitatem obſervamus,
              <lb/>
            conſtant ex filamentis tenuibus, aut ſaltem quaſi ex talibus
              <lb/>
            conſtantia conſiderari poſſunt, corpus enim in fila diviſum
              <lb/>
            concipi poteſt; </s>
            <s xml:id="echoid-s7483" xml:space="preserve">illaque fila, ad ſe mutuo appoſita, corpus
              <lb/>
            formare; </s>
            <s xml:id="echoid-s7484" xml:space="preserve">ut ergo in caſu omnium minime compoſito E-
              <lb/>
            laſticitas examinetur, chordæ conſiderandæ ſunt, & </s>
            <s xml:id="echoid-s7485" xml:space="preserve">qui-
              <lb/>
            dem metallicæ; </s>
            <s xml:id="echoid-s7486" xml:space="preserve">chordæ enim exinteſtinis ovium ſpiram for-
              <lb/>
            mant, & </s>
            <s xml:id="echoid-s7487" xml:space="preserve">non ut fibræ, ex quibus corpora formantur, con-
              <lb/>
            ſiderari queunt.</s>
            <s xml:id="echoid-s7488" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s7489" xml:space="preserve">Fibrarum Elaſticitas in eo ſita eſt, quod extendi poſſint,
              <lb/>
              <note position="left" xlink:label="note-0268-06" xlink:href="note-0268-06a" xml:space="preserve">668.</note>
            & </s>
            <s xml:id="echoid-s7490" xml:space="preserve">ſublata vi qua producuntur, iterum ad priſtinam longi-
              <lb/>
            tudinem redeant.</s>
            <s xml:id="echoid-s7491" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7492" xml:space="preserve">Fibræ nullam habent Elaſticitatem, niſi certâ vi ten-
              <lb/>
              <note position="left" xlink:label="note-0268-07" xlink:href="note-0268-07a" xml:space="preserve">669.</note>
            ſæ ſint; </s>
            <s xml:id="echoid-s7493" xml:space="preserve">ut patet ex chordis parum tenſis, & </s>
            <s xml:id="echoid-s7494" xml:space="preserve">quarum ex-
              <lb/>
            tremitates fixæ ſunt; </s>
            <s xml:id="echoid-s7495" xml:space="preserve">quæ ſi a ſitu paululum removeantur,
              <lb/>
            ad illum ſponte non redeunt: </s>
            <s xml:id="echoid-s7496" xml:space="preserve">quiſnam vero ſit gradus ten-
              <lb/>
            ſionis, in quo Elaſticitas inchoetur, Experimentis nondum
              <lb/>
            fuit determinatum.</s>
            <s xml:id="echoid-s7497" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7498" xml:space="preserve">Quando nimia vi fibra tenditur, Elaſticitatem amittit;
              <lb/>
            </s>
            <s xml:id="echoid-s7499" xml:space="preserve">
              <note position="left" xlink:label="note-0268-08" xlink:href="note-0268-08a" xml:space="preserve">670.</note>
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