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

Table of contents

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[331.] Definitio. 2.
[332.] Definitio. 3.
[333.] CAPUT X. De Motu Undarum.
[334.] Definitio 1.
[335.] Definitio 2.
[336.] Experimentum.
[337.] CAPUT XI. De Reſiſtentia Fluidorum.
[338.] Machina,
[339.] Experimentum 1.
[340.] Experimentum 2.
[341.] Experimentum 3.
[342.] Experimentum 4.
[343.] SCHOLIUM, Demonſtrationes n. 914. & 915.
[344.] F f, F g :: FC aut IH, FH
[345.] CAPUT XII. De Retardatione Corporum in Fluidis motorum.
[346.] Machina, Qua Experimenta de Pendulorum Retardationibus inſtituuntur.
[347.] Experimentum.
[348.] SCHOLIUM 1. De Logarithmica.
[349.] Definitio 1.
[350.] Definitio 2.
[351.] AC, HI :: LM, RS ; & dividendo
[352.] TC, VM:: AC, LM.
[353.] C c, c E:: CA, AT, & M m, m O :: ML, LV.
[354.] SCHOLIUM 2. De Retardatione in genere.
[355.] SCHOLIUM 3. De Retardatione ex prima Cauſa.
[356.] SCHOLIUM 4. De Retardatione ex ſecunda Cauſâ.
[357.] SCHOLIUM 5. De ambabus Retardationibus conjunctim.
[358.] B Iq - PRq, PRq :: AI-AB = BI, AB.
[359.] SCHOLIUM. 6 De Corporibus in altum projectis.
[360.] SCHOLIUM. 7. De Corporibus in Fluidis cadentibus.
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            <s xml:id="echoid-s8232" xml:space="preserve">
              <pb o="217" file="0303" n="331" rhead="MATHEMATICA. LIB. II. CAP. III."/>
            bit. </s>
            <s xml:id="echoid-s8233" xml:space="preserve">Ad majorem profunditatem magis arcte cum cylindro
              <lb/>
            cohærebit, ad minorem cadet.</s>
            <s xml:id="echoid-s8234" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8235" xml:space="preserve">Si cum lamina aurea hocce Experimentum inſtitueretur,
              <lb/>
            ad majorem profunditatem immergenda eſſet; </s>
            <s xml:id="echoid-s8236" xml:space="preserve">auri enim
              <lb/>
            gravitas ſpecifica eſt ad aquæ gravitatem ſpecificam ut 19.
              <lb/>
            </s>
            <s xml:id="echoid-s8237" xml:space="preserve">ad 1; </s>
            <s xml:id="echoid-s8238" xml:space="preserve">quare illius gravitas reſpectiva eſt ad aquæ gravita-
              <lb/>
            tem ſpecificam ut 18. </s>
            <s xml:id="echoid-s8239" xml:space="preserve">ad 1. </s>
            <s xml:id="echoid-s8240" xml:space="preserve">; </s>
            <s xml:id="echoid-s8241" xml:space="preserve">Columna idcirco aquea
              <note symbol="*" position="right" xlink:label="note-0303-01" xlink:href="note-0303-01a" xml:space="preserve">714.</note>
            cies & </s>
            <s xml:id="echoid-s8242" xml:space="preserve">octies, altitudine ſua, craſſitiem laminæ aureæ ſupe-
              <lb/>
            rare debet, ut valeat hujus gravitatem reſpectivam; </s>
            <s xml:id="echoid-s8243" xml:space="preserve">requi-
              <lb/>
            ritur ergo ut aquæ altitudo, ſupra ſuperficiem ſuperiorem
              <lb/>
            laminæ aureæ, toties ad minimum valeat ipſius laminæ craſ-
              <lb/>
            ſitiem.</s>
            <s xml:id="echoid-s8244" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1171" type="section" level="1" n="294">
          <head xml:id="echoid-head408" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          8.</head>
          <p>
            <s xml:id="echoid-s8245" xml:space="preserve">Cylindrus A cum fundo mobili operculo obtectus & </s>
            <s xml:id="echoid-s8246" xml:space="preserve">cum
              <lb/>
              <note position="right" xlink:label="note-0303-02" xlink:href="note-0303-02a" xml:space="preserve">765.</note>
            tubo D conjunctus, ut ante expoſitum , aquâ
              <note position="right" xlink:label="note-0303-03" xlink:href="note-0303-03a" xml:space="preserve">TAB. XXX.
                <lb/>
              fig. 3.</note>
            funduſque, quando ad profunditatem unius pedis infra aquæ
              <lb/>
              <note symbol="*" position="right" xlink:label="note-0303-04" xlink:href="note-0303-04a" xml:space="preserve">722.</note>
            ſuperficiem pervenit, adſcendit, licet ponderet integram
              <lb/>
            libram cum quadrante, & </s>
            <s xml:id="echoid-s8247" xml:space="preserve">licet, ope cochleæ, in centro
              <lb/>
            fundi ab inferiori parte cohærentis, conjungatur cum pon-
              <lb/>
            dere P unius libræ, & </s>
            <s xml:id="echoid-s8248" xml:space="preserve">præter pondera quæ elevantur ſupe-
              <lb/>
            ratur attritus.</s>
            <s xml:id="echoid-s8249" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8250" xml:space="preserve">Idem ſolidum, quod fluidis diverſæ denſitatis immergi-
              <lb/>
              <note position="right" xlink:label="note-0303-05" xlink:href="note-0303-05a" xml:space="preserve">766.</note>
            tur, diverſam ponderis ſui partem amittit , & </s>
            <s xml:id="echoid-s8251" xml:space="preserve">ideò
              <note symbol="*" position="right" xlink:label="note-0303-06" xlink:href="note-0303-06a" xml:space="preserve">751.</note>
            do duo corpora, ejuſdem denſitatis & </s>
            <s xml:id="echoid-s8252" xml:space="preserve">ponderis, fluidis di-
              <lb/>
            verſæ denſitatis immerguntur, deſtruitur inter illa æquili-
              <lb/>
            brium.</s>
            <s xml:id="echoid-s8253" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1174" type="section" level="1" n="295">
          <head xml:id="echoid-head409" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          9.</head>
          <p>
            <s xml:id="echoid-s8254" xml:space="preserve">Duæ laminæ g, g ejuſdem metalli & </s>
            <s xml:id="echoid-s8255" xml:space="preserve">æ quales, uncislan-
              <lb/>
              <note position="right" xlink:label="note-0303-07" xlink:href="note-0303-07a" xml:space="preserve">767.</note>
            cium A & </s>
            <s xml:id="echoid-s8256" xml:space="preserve">B ſuſpenduntur; </s>
            <s xml:id="echoid-s8257" xml:space="preserve">deſcenſu libræ fluidis, vaſis F, F
              <lb/>
              <note position="right" xlink:label="note-0303-08" xlink:href="note-0303-08a" xml:space="preserve">TAB. XXIX
                <lb/>
              fig. 4.</note>
            contentis, immerguntur; </s>
            <s xml:id="echoid-s8258" xml:space="preserve">una in aquam, altera in oleum
              <lb/>
            terebinthinæ, æquilibrium deſtruitur, & </s>
            <s xml:id="echoid-s8259" xml:space="preserve">illa hac levior
              <lb/>
            fit.</s>
            <s xml:id="echoid-s8260" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8261" xml:space="preserve">Solidum fluido levius, & </s>
            <s xml:id="echoid-s8262" xml:space="preserve">hoc immerſum, adſcendit, & </s>
            <s xml:id="echoid-s8263" xml:space="preserve">in
              <lb/>
              <note position="right" xlink:label="note-0303-09" xlink:href="note-0303-09a" xml:space="preserve">768.</note>
            ſuprema fluidi ſuperficie hæret , ita ut pro parte
              <note symbol="*" position="right" xlink:label="note-0303-10" xlink:href="note-0303-10a" xml:space="preserve">749.</note>
            immergatur; </s>
            <s xml:id="echoid-s8264" xml:space="preserve">pro majori tamen gravitate ſpecifica in fluido
              <lb/>
            magis deſcendit, & </s>
            <s xml:id="echoid-s8265" xml:space="preserve">corpus non quieſcit, niſi pars </s>
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