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

Table of contents

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[31.] De Spirali logaritbmicâ, & bujus menſurâ.
[32.] De infinitorum Inæqualitate
[33.] De infinitorum claſſibus.
[34.] SCHOLIUM 2. De partium Subtilitate.
[35.] CAPUT V. De cobæſione partium, ubi de Duritie, Mollitie, Fluidi-tate, & Elaſticitate agitur.
[36.] Definitio 1.
[37.] Definitio 2.
[38.] Definitio 3.
[39.] Definitio 4.
[40.] Experimentum 1.
[41.] Experimentum 2.
[42.] Experimentum 3.
[43.] Experimentum 4.
[44.] Experimentum 5.
[45.] Experimentum 6.
[46.] Experimentum 7.
[47.] Experimentum 8.
[48.] Experimentum 9. 10. 11. 12. 13.
[49.] Definitio 5.
[50.] SCHOLIUM De efſectu attractionis vitri in aquam.
[51.] De Tubis Capillaribus.
[52.] De aſcènſu aquæ inter plana, de quo in n. 58.
[53.] De motu guttæ in n. 59,
[54.] CAPUT VI. De Motu in genere, ubi de Loco & Tempore.
[55.] Definitio 1.
[56.] Definitio 2.
[57.] Definitio 3.
[58.] Definitio 4.
[59.] Definitio 5.
[60.] Definitio 6.
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          <pb o="13" file="0043" n="43" rhead="MATHEMATICA. LIB. I. CAP. V."/>
        </div>
        <div xml:id="echoid-div87" type="section" level="1" n="35">
          <head xml:id="echoid-head73" xml:space="preserve">CAPUT V.</head>
          <head xml:id="echoid-head74" style="it" xml:space="preserve">De cobæſione partium, ubi de Duritie, Mollitie, Fluidi-
            <lb/>
          tate, & Elaſticitate agitur.</head>
          <p>
            <s xml:id="echoid-s927" xml:space="preserve">OMne corpus quod in ſenſus noſtros cadit, ex particu-
              <lb/>
              <note position="right" xlink:label="note-0043-01" xlink:href="note-0043-01a" xml:space="preserve">47.</note>
            lis quam minimis conſtat, nulla illarum in ſe eſt in-
              <lb/>
            diviſibilis, noſtri reſpectu omnes ſunt, diviſio enim quæ a
              <lb/>
            nobis fieri poteſt, eſt particularum ſeparatio.</s>
            <s xml:id="echoid-s928" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s929" xml:space="preserve">Quando magna vis ad illam ſeparationem requiritur, cor-
              <lb/>
            pus durum vocatur.</s>
            <s xml:id="echoid-s930" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s931" xml:space="preserve">Si partes facilius cedant & </s>
            <s xml:id="echoid-s932" xml:space="preserve">cum ſublapſu partium intro-
              <lb/>
            cedant molle vocatur.</s>
            <s xml:id="echoid-s933" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s934" xml:space="preserve">Sed hæc in ſignificatione vulgari, vis magna & </s>
            <s xml:id="echoid-s935" xml:space="preserve">minor ni-
              <lb/>
            hil determinati denotant, & </s>
            <s xml:id="echoid-s936" xml:space="preserve">corpus durum reſpectu unius ho-
              <lb/>
            minis, alteri molle videtur.</s>
            <s xml:id="echoid-s937" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div89" type="section" level="1" n="36">
          <head xml:id="echoid-head75" xml:space="preserve">
            <emph style="sc">Definitio</emph>
          1.</head>
          <p style="it">
            <s xml:id="echoid-s938" xml:space="preserve">Philoſophicè corpus durum vocatur, cujus partes inter
              <lb/>
              <note position="right" xlink:label="note-0043-02" xlink:href="note-0043-02a" xml:space="preserve">48.</note>
            ſe cobærent, & </s>
            <s xml:id="echoid-s939" xml:space="preserve">neutiquam introcedunt, ita ut partes nullo mo-
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            tu affici poſſint quin diſrumpatur corpus.</s>
            <s xml:id="echoid-s940" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s941" xml:space="preserve">Corpus tale perfectè durum nullum novimus.</s>
            <s xml:id="echoid-s942" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div91" type="section" level="1" n="37">
          <head xml:id="echoid-head76" xml:space="preserve">
            <emph style="sc">Definitio</emph>
          2.</head>
          <p style="it">
            <s xml:id="echoid-s943" xml:space="preserve">Philoſophice corpus molle vocatur cujus partes introce-
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              <note position="right" xlink:label="note-0043-03" xlink:href="note-0043-03a" xml:space="preserve">49.</note>
            dunt & </s>
            <s xml:id="echoid-s944" xml:space="preserve">ſublabuntur, licet ad illud mallei ictus requirantur.</s>
            <s xml:id="echoid-s945" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div93" type="section" level="1" n="38">
          <head xml:id="echoid-head77" xml:space="preserve">
            <emph style="sc">Definitio</emph>
          3.</head>
          <p style="it">
            <s xml:id="echoid-s946" xml:space="preserve">Corpus cujus partes cuicunque impreſſioni cedunt & </s>
            <s xml:id="echoid-s947" xml:space="preserve">ce-
              <lb/>
              <note position="right" xlink:label="note-0043-04" xlink:href="note-0043-04a" xml:space="preserve">50.</note>
            dendo facillime moventur inter ſe vocatur fluidum.</s>
            <s xml:id="echoid-s948" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s949" xml:space="preserve">Hæc omnia a cohæſione partium pendent, quo arctior
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            eſt eo magis ad perfectam duritiem corpus accedit. </s>
            <s xml:id="echoid-s950" xml:space="preserve">Durities
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            vero particularum minimarum ab illarum ſoliditate non dif-
              <lb/>
            fert, & </s>
            <s xml:id="echoid-s951" xml:space="preserve">eſt proprietas eſſentialis corporis, quæ non magis
              <lb/>
            explicanda eſt, quam quare corpus ſit extenſum & </s>
            <s xml:id="echoid-s952" xml:space="preserve">mens
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            cogitet.</s>
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          <p>
            <s xml:id="echoid-s954" xml:space="preserve">An omnia corpora ex particulis æqualibus & </s>
            <s xml:id="echoid-s955" xml:space="preserve">ſimilibus con-
              <lb/>
            ſtent omnino ignoro, & </s>
            <s xml:id="echoid-s956" xml:space="preserve">circa cauſam cohæſionis particula-
              <lb/>
            rum adhuc multa obſcura ſunt.</s>
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          </p>
          <p>
            <s xml:id="echoid-s958" xml:space="preserve">Naturæ leges quæ hic locum habentex Phænomenis dedu-
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            cuntur.</s>
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