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

Table of contents

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[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)
[261.] SCHOLIUM.
Page: 304 (199)
[262.] FINIS LIBRI PRIMI.
Page: 304 (199)
[263.] PHYSICES ELEMENTA MATHEMATICA EXPERIMENTIS CONFIRMATA. LIBER II. Pars I. de Gravitate, & Preſſione Fluidorum. CAPUT I. De Gravitate partium Fluidorum, & illius Effectu in ipſis Fluidis.
Page: 305 (200)
[264.] Bilanx Hydrostatica.
Page: 309 (201)
[265.] Experimentum 1.
Page: 309 (201)
[266.] Experimentum 2.
Page: 310 (202)
[267.] Experimentum 3.
Page: 311 (203)
[268.] Experimentum 4.
Page: 311 (203)
[269.] Experimentum. 5.
Page: 312 (204)
[270.] Experimentum 6.
Page: 312 (204)
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            <s xml:id="echoid-s6154" xml:space="preserve">
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            locitate duodecim, dantur ſex grad. </s>
            <s xml:id="echoid-s6155" xml:space="preserve">in contrariam partem ;</s>
            <s xml:id="echoid-s6156" xml:space="preserve">
              <note symbol="*" position="left" xlink:label="note-0224-01" xlink:href="note-0224-01a" xml:space="preserve">569.</note>
            eodem modo ſequentibus Experimentis confirmatur quod
              <lb/>
            per Regulas detegitur.</s>
            <s xml:id="echoid-s6157" xml:space="preserve"/>
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        </div>
        <div xml:id="echoid-div876" type="section" level="1" n="224">
          <head xml:id="echoid-head316" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          5.</head>
          <p>
            <s xml:id="echoid-s6158" xml:space="preserve">Corpus P velocitate novendecim fertur eandem partem
              <lb/>
              <note position="left" xlink:label="note-0224-02" xlink:href="note-0224-02a" xml:space="preserve">573.</note>
            verſus cum corpore triplo Q, moto celeritate tria; </s>
            <s xml:id="echoid-s6159" xml:space="preserve">poſt im-
              <lb/>
              <note position="left" xlink:label="note-0224-03" xlink:href="note-0224-03a" xml:space="preserve">
                <emph style="sc">TAB. XXI</emph>
              .
                <lb/>
              fig 8.</note>
            pactum corpus P regreditur velocitate quinque.</s>
            <s xml:id="echoid-s6160" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div878" type="section" level="1" n="225">
          <head xml:id="echoid-head317" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          6.</head>
          <p>
            <s xml:id="echoid-s6161" xml:space="preserve">Corpus P celeritate quinque, & </s>
            <s xml:id="echoid-s6162" xml:space="preserve">corpus Q triplum ce-
              <lb/>
              <note position="left" xlink:label="note-0224-04" xlink:href="note-0224-04a" xml:space="preserve">574.</note>
            leritate undecim, in partes contrarias feruntur; </s>
            <s xml:id="echoid-s6163" xml:space="preserve">poſt occur-
              <lb/>
              <note position="left" xlink:label="note-0224-05" xlink:href="note-0224-05a" xml:space="preserve">
                <emph style="sc">TAB. XXI</emph>
              .
                <lb/>
              fig. 10.</note>
            ſum, Q motum continuat celeritate tria, & </s>
            <s xml:id="echoid-s6164" xml:space="preserve">P regreditur
              <lb/>
            velocitate novemdecim.</s>
            <s xml:id="echoid-s6165" xml:space="preserve"/>
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        </div>
        <div xml:id="echoid-div880" type="section" level="1" n="226">
          <head xml:id="echoid-head318" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          7.</head>
          <p>
            <s xml:id="echoid-s6166" xml:space="preserve">Eadem corpora P & </s>
            <s xml:id="echoid-s6167" xml:space="preserve">Q in contrarias partes feruntur, P
              <lb/>
              <note position="left" xlink:label="note-0224-06" xlink:href="note-0224-06a" xml:space="preserve">575.</note>
            celeritate ſedecim, & </s>
            <s xml:id="echoid-s6168" xml:space="preserve">Q velocitate octo; </s>
            <s xml:id="echoid-s6169" xml:space="preserve">ambo poſt impa-
              <lb/>
              <note position="left" xlink:label="note-0224-07" xlink:href="note-0224-07a" xml:space="preserve">
                <emph style="sc">TAB. XXI</emph>
              .
                <lb/>
              fig. 11.</note>
            ctum regrediuntur, P cum viginti & </s>
            <s xml:id="echoid-s6170" xml:space="preserve">Q cum quatuor gradi-
              <lb/>
            bus velocitatis.</s>
            <s xml:id="echoid-s6171" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6172" xml:space="preserve">Omnes caſus percuſſionum corporum elaſticorum Regu-
              <lb/>
            lis memoratis determinantur; </s>
            <s xml:id="echoid-s6173" xml:space="preserve">ſequentem etiam ex illis de-
              <lb/>
            ducimus propoſitionem.</s>
            <s xml:id="echoid-s6174" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s6175" xml:space="preserve">Quando corpora ſunt æqualia, & </s>
            <s xml:id="echoid-s6176" xml:space="preserve">eandem partem ver ſivs
              <lb/>
              <note position="left" xlink:label="note-0224-08" xlink:href="note-0224-08a" xml:space="preserve">576.</note>
            feruntur, permutatis velocitatibus motum continuant; </s>
            <s xml:id="echoid-s6177" xml:space="preserve">ſi in
              <lb/>
            contrarias partes ferantur, permutatis velocitatibus regre-
              <lb/>
            diuntur.</s>
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          <p>
            <s xml:id="echoid-s6179" xml:space="preserve">Cas. </s>
            <s xml:id="echoid-s6180" xml:space="preserve">I. </s>
            <s xml:id="echoid-s6181" xml:space="preserve">Tendant corpora ad eandem plagam, & </s>
            <s xml:id="echoid-s6182" xml:space="preserve">ſit A B
              <lb/>
              <note position="left" xlink:label="note-0224-09" xlink:href="note-0224-09a" xml:space="preserve">577.</note>
            velocitas unius corporis, B C velocitas alterius corporis;
              <lb/>
            </s>
            <s xml:id="echoid-s6183" xml:space="preserve">
              <note position="left" xlink:label="note-0224-10" xlink:href="note-0224-10a" xml:space="preserve">
                <emph style="sc">TA. XXII</emph>
              .
                <lb/>
              fig. 4.</note>
            propter maſſas æquales, ſunt velocitates ut producta maſſa-
              <lb/>
            rum per velocitates. </s>
            <s xml:id="echoid-s6184" xml:space="preserve">Dividatur linea A C in duas partes
              <lb/>
            æquales in D, & </s>
            <s xml:id="echoid-s6185" xml:space="preserve">ſit D b æqualis DB; </s>
            <s xml:id="echoid-s6186" xml:space="preserve">AD aut DC de-
              <lb/>
            notat celeritatem utriuſque corporis poſt occurſum, ſi non
              <lb/>
            ſint elaſtica ; </s>
            <s xml:id="echoid-s6187" xml:space="preserve">& </s>
            <s xml:id="echoid-s6188" xml:space="preserve">celeritas BC augetur quantitate DB,
              <note symbol="*" position="left" xlink:label="note-0224-11" xlink:href="note-0224-11a" xml:space="preserve">513.</note>
            plici quantitate tali augeri debet propter elaſticitatem ,
              <note symbol="*" position="left" xlink:label="note-0224-12" xlink:href="note-0224-12a" xml:space="preserve">567.</note>
            eſt, fiet b C: </s>
            <s xml:id="echoid-s6189" xml:space="preserve">celeritas AB; </s>
            <s xml:id="echoid-s6190" xml:space="preserve">in corporibus non elaſticis,
              <lb/>
            minuitur quantitate DB; </s>
            <s xml:id="echoid-s6191" xml:space="preserve">duplici illa quantitate minui de-
              <lb/>
            bet, ex prædicta ratione ; </s>
            <s xml:id="echoid-s6192" xml:space="preserve">& </s>
            <s xml:id="echoid-s6193" xml:space="preserve">fiet a b. </s>
            <s xml:id="echoid-s6194" xml:space="preserve">Velocitates
              <note symbol="*" position="left" xlink:label="note-0224-13" xlink:href="note-0224-13a" xml:space="preserve">568</note>
            tur AB & </s>
            <s xml:id="echoid-s6195" xml:space="preserve">BC mutantur in velocitates A b & </s>
            <s xml:id="echoid-s6196" xml:space="preserve">b C; </s>
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