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

List of thumbnails

< >
301
301 (196)
302
302 (197)
303
303 (198)
304
304 (199)
305
305 (200)
306
306
307
307
308
308
309
309 (201)
310
310 (202)
< >
page |< < (198) of 824 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div1069" type="section" level="1" n="259">
          <p>
            <s xml:id="echoid-s7718" xml:space="preserve">
              <pb o="198" file="0278" n="303" rhead="PHYSICES ELEMENTA"/>
            eſt ſemi-pollicis, & </s>
            <s xml:id="echoid-s7719" xml:space="preserve">ſic ulterius donec non amplius compri-
              <lb/>
            mi poſſit lamina.</s>
            <s xml:id="echoid-s7720" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7721" xml:space="preserve">Unaquæque lamina minor proportionaliter ad pondus in-
              <lb/>
            flectitur, & </s>
            <s xml:id="echoid-s7722" xml:space="preserve">motus ponderis, ex omnibus inflexionibus jun-
              <lb/>
            ctis, eandem proportionem ſequitur. </s>
            <s xml:id="echoid-s7723" xml:space="preserve">Cum pluribus laminis
              <lb/>
            junctis Experimentum inſtituitur, quia in variis inflexioni-
              <lb/>
            bus directio actionis ponderis in laminas ſenſibiliter non
              <lb/>
            mutatur.</s>
            <s xml:id="echoid-s7724" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7725" xml:space="preserve">Quæ de inflexione laminarum dicta ſunt, ad laminam
              <lb/>
              <note position="left" xlink:label="note-0278-01" xlink:href="note-0278-01a" xml:space="preserve">696.</note>
            curvam ACB transferri poſſunt; </s>
            <s xml:id="echoid-s7726" xml:space="preserve">ſi illa duobus ponderibus
              <lb/>
              <note position="left" xlink:label="note-0278-02" xlink:href="note-0278-02a" xml:space="preserve">
                <emph style="sc">TA. XXVI.</emph>
                <lb/>
              fig. 7.</note>
            gravetur ut ſitus acb, acb acquirat, & </s>
            <s xml:id="echoid-s7727" xml:space="preserve">pondera ſint inter ſe
              <lb/>
            ut unum ad duo, diſtantiæ cc & </s>
            <s xml:id="echoid-s7728" xml:space="preserve">cC erunt æquales ; </s>
            <s xml:id="echoid-s7729" xml:space="preserve">
              <note symbol="*" position="left" xlink:label="note-0278-03" xlink:href="note-0278-03a" xml:space="preserve">693.</note>
            troceſſiones igitur puncti C ſunt ut pondera quibus lamina
              <lb/>
            gravatur: </s>
            <s xml:id="echoid-s7730" xml:space="preserve">quod etiam referri poteſt ad introceſſiones pluri-
              <lb/>
            marum laminarum junctarum.</s>
            <s xml:id="echoid-s7731" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7732" xml:space="preserve">Non tamen in Globo ACB, ex materia elaſtica, qui quaſi
              <lb/>
              <note position="left" xlink:label="note-0278-04" xlink:href="note-0278-04a" xml:space="preserve">697.</note>
            ex variis laminis conſtans conſiderari poteſt; </s>
            <s xml:id="echoid-s7733" xml:space="preserve">introceſſiones
              <lb/>
              <note position="left" xlink:label="note-0278-05" xlink:href="note-0278-05a" xml:space="preserve">
                <emph style="sc">TA. XXVI.</emph>
                <lb/>
              fig. 8.</note>
            puncti ut C erunt proportionales viribus, quibus corpus
              <lb/>
            comprimitur. </s>
            <s xml:id="echoid-s7734" xml:space="preserve">Nam ſi introceſſio duplicetur, dupla vis qui-
              <lb/>
            dem requiritur propter duplam laminarum inflexionem, ſed
              <lb/>
            augenda ulterius eſt vis propter majorem numerum lamina-
              <lb/>
            rum inflexarum, & </s>
            <s xml:id="echoid-s7735" xml:space="preserve">experimentis conſtat, hac de cauſa
              <lb/>
            vim duplicandam eſſe, ita ut vis quadiupla requiratur: </s>
            <s xml:id="echoid-s7736" xml:space="preserve">et-
              <lb/>
            iam in genere experimentis conſtat, quadratum introceſſio-
              <lb/>
            nis ſequi eandem proportionem cum vi, qua globus com-
              <lb/>
            primitur, id eſt, ſi ipſe globus in obicem firmum incurrat,
              <lb/>
            ſunt introceſſiones ut velocitates, quibus in hunc impingi-
              <lb/>
            tur .</s>
            <s xml:id="echoid-s7737" xml:space="preserve">
              <note symbol="*" position="left" xlink:label="note-0278-06" xlink:href="note-0278-06a" xml:space="preserve">447.</note>
            </s>
          </p>
          <p>
            <s xml:id="echoid-s7738" xml:space="preserve">Impingat, variis vicibus, punctum C globi ACBE in
              <lb/>
              <note position="left" xlink:label="note-0278-07" xlink:href="note-0278-07a" xml:space="preserve">698.</note>
            planum quodcunque, & </s>
            <s xml:id="echoid-s7739" xml:space="preserve">punctum C introcedat ad d, d, & </s>
            <s xml:id="echoid-s7740" xml:space="preserve">D,
              <lb/>
              <note position="left" xlink:label="note-0278-08" xlink:href="note-0278-08a" xml:space="preserve">
                <emph style="sc">TA. XXVI.</emph>
                <lb/>
              fig. 9.</note>
            velocitates in ictibus erunt inter ſe ut lineæ Cd, Cd, CD; </s>
            <s xml:id="echoid-s7741" xml:space="preserve">in
              <lb/>
            primo ictu pars aCb plana fit, in ſecundo pars aCb, in tertio
              <lb/>
            pars ACB: </s>
            <s xml:id="echoid-s7742" xml:space="preserve">cum hìc ſemper agatur de arcubus minimis, arcus,
              <lb/>
            id eſt, diametri ſuperficierum planarum ex ictibus, ſunt in-
              <lb/>
            ter ſe ad ſenſum ut chordæ Ca, Ca & </s>
            <s xml:id="echoid-s7743" xml:space="preserve">CA; </s>
            <s xml:id="echoid-s7744" xml:space="preserve">ergo ipſæ
              <lb/>
            ſuperficies ut quadrata illarum chordarum, in qua </s>
          </p>
        </div>
      </text>
    </echo>