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

Page concordance

< >
Scan Original
351 228
352 229
353 230
354 231
355 232
356 233
357 234
358 235
359 236
360
361
362
363 237
364 238
365 239
366 240
367 241
368 242
369 243
370 244
371 245
372 246
373
374
375
376 247
377 248
378 249
379 250
380 251
< >
page |< < (254) of 824 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div1322" type="section" level="1" n="335">
          <p>
            <s xml:id="echoid-s9383" xml:space="preserve">
              <pb o="254" file="0350" n="383" rhead="PHYSICES ELEMENTA"/>
            nem circuli, cujus centrum non multum ab O diſtat, ſeſe
              <lb/>
            expandit.</s>
            <s xml:id="echoid-s9384" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9385" xml:space="preserve">Ex hiſce ſacile deducitur motus undæ ponè obſtaculum
              <lb/>
              <note position="left" xlink:label="note-0350-01" xlink:href="note-0350-01a" xml:space="preserve">881.</note>
            ut MN.</s>
            <s xml:id="echoid-s9386" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9387" xml:space="preserve">Undæ ſæpe producuntur ex motu corporis tremulo, quæ
              <lb/>
              <note position="left" xlink:label="note-0350-02" xlink:href="note-0350-02a" xml:space="preserve">882.</note>
            etiam per circulum ſeſe expandunt, licet per lineam rectam
              <lb/>
            corpus eat & </s>
            <s xml:id="echoid-s9388" xml:space="preserve">redeat; </s>
            <s xml:id="echoid-s9389" xml:space="preserve">aqua enim agitatione elevata deſcen-
              <lb/>
            dendo cavitatem format, quæ ab omni parte elevatione cir-
              <lb/>
            cumdatur.</s>
            <s xml:id="echoid-s9390" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9391" xml:space="preserve">Undæ variæ ſeſe mutuo non perturbant, dum juxta va-
              <lb/>
              <note position="left" xlink:label="note-0350-03" xlink:href="note-0350-03a" xml:space="preserve">883.</note>
            rias directiones moventur. </s>
            <s xml:id="echoid-s9392" xml:space="preserve">Cujus effectus ratio hæc eſt;
              <lb/>
            </s>
            <s xml:id="echoid-s9393" xml:space="preserve">quamcunque ex motu undæ figuram adepta fuerit aquæ ſu-
              <lb/>
            perficies, in hac elevatio & </s>
            <s xml:id="echoid-s9394" xml:space="preserve">depreſſio dari poſſunt, ut & </s>
            <s xml:id="echoid-s9395" xml:space="preserve">
              <lb/>
            motus qualis in undæ motu requiritur.</s>
            <s xml:id="echoid-s9396" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9397" xml:space="preserve">Qui unquam undarum motum attente conſideravit, hæc
              <lb/>
            omnia cum Experimentis congruere vidit.</s>
            <s xml:id="echoid-s9398" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9399" xml:space="preserve">Celeritas undarum ut determinetur, motus alius cum ha-
              <lb/>
            rum motu analogus examinandus eſt. </s>
            <s xml:id="echoid-s9400" xml:space="preserve">Detur fluidum in
              <lb/>
              <note position="left" xlink:label="note-0350-04" xlink:href="note-0350-04a" xml:space="preserve">884.</note>
            tubo cylindrico curvo EH, ſuperetque altitudo fluidi in
              <lb/>
              <note position="left" xlink:label="note-0350-05" xlink:href="note-0350-05a" xml:space="preserve">TAB. XXXIV.
                <lb/>
              fig. 5.</note>
            crure EF altitudinem in alio crure quantitate lE, quæ
              <lb/>
            differentia in duas partes æquales ſecanda eſt in i. </s>
            <s xml:id="echoid-s9401" xml:space="preserve">Gravi-
              <lb/>
            tate ſua deſcendit fluidum in crure EH, dum æqualiter in
              <lb/>
            tubo EH adſcendit, & </s>
            <s xml:id="echoid-s9402" xml:space="preserve">ita quando ſuperficies fluidi perve-
              <lb/>
            nit ad i, ad eandem in utroque crure datur altitudinem, & </s>
            <s xml:id="echoid-s9403" xml:space="preserve">
              <lb/>
            in hoc ſitu ſolo fluidum poteſt quieſcere: </s>
            <s xml:id="echoid-s9404" xml:space="preserve">ſed celeritate de-
              <lb/>
            ſcendendo acquiſita motum continuat, magisque adſcendit
              <lb/>
            in tubo GH, & </s>
            <s xml:id="echoid-s9405" xml:space="preserve">in EF deprimitur ad l uſque, niſi qua-
              <lb/>
            tenus ab attritu tubi motus minuitur. </s>
            <s xml:id="echoid-s9406" xml:space="preserve">Fluidum in tubo
              <lb/>
            GH magis elevatum etiam gravitate deſcendit, & </s>
            <s xml:id="echoid-s9407" xml:space="preserve">fluidum
              <lb/>
            in tubo it & </s>
            <s xml:id="echoid-s9408" xml:space="preserve">redit, donec ex attritu totum motum amiſe-
              <lb/>
            rit.</s>
            <s xml:id="echoid-s9409" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9410" xml:space="preserve">Quantitas materiæ movendæ eſt totum fluidum in tubo;
              <lb/>
            </s>
            <s xml:id="echoid-s9411" xml:space="preserve">vis motrix eſt pondus columnæ lE; </s>
            <s xml:id="echoid-s9412" xml:space="preserve">hoc fluidum premens
              <lb/>
            eodem motu cum reliquo fluido in tubo agitatur & </s>
            <s xml:id="echoid-s9413" xml:space="preserve">reſpe-
              <lb/>
            ctu hujus quieſcit; </s>
            <s xml:id="echoid-s9414" xml:space="preserve">agit ergo in fluidum motum ut in quie-
              <lb/>
            ſcens & </s>
            <s xml:id="echoid-s9415" xml:space="preserve">toto ſuo pondere premit in inferius fluidum . </s>
            <s xml:id="echoid-s9416" xml:space="preserve">
              <note symbol="*" position="left" xlink:label="note-0350-06" xlink:href="note-0350-06a" xml:space="preserve">252.</note>
            </s>
          </p>
        </div>
      </text>
    </echo>
Impressum