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

Table of contents

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[281.] CAPUT III. De Solidis fluidis immerſis.
Page: 322 (211)
[282.] Definitio 1.
Page: 322 (211)
[283.] Definitio. 2.
Page: 322 (211)
[284.] Definitio. 3.
Page: 322 (211)
[285.] Definitio. 4.
Page: 322 (211)
[286.] Experimentum 1.
Page: 323 (212)
[287.] Experimentum 2.
Page: 323 (212)
[288.] Experimentum 3.
Page: 325 (214)
[289.] Definitio 5.
Page: 325 (214)
[290.] Experimentum 4.
Page: 329 (215)
[291.] Experimentum. 5.
Page: 329 (215)
[292.] Experimentum 6.
Page: 330 (216)
[293.] Experimentum 7.
Page: 330 (216)
[294.] Experimentum 8.
Page: 331 (217)
[295.] Experimentum 9.
Page: 331 (217)
[296.] Experimentum. 10.
Page: 332 (218)
[297.] Experimentum 11.
Page: 332 (218)
[298.] CAPUT IV. De comparandis Fluidorum Denſitatibus.
Page: 336 (219)
[299.] Experimentum 1.
Page: 336 (219)
[300.] Machina Qua Fluidorum denſitates conferuntur.
Page: 337 (220)
[301.] Experimentum 2.
Page: 341 (221)
[302.] Machina Alia qua Fluidorum Denſitates conferuntur.
Page: 341 (221)
[303.] Experimentum 3.
Page: 342 (222)
[304.] CAPUT V. De hydroſtatica Solidorum Comparatione.
Page: 342 (222)
[305.] Machina Qua ſolidorum Corporum Denſitates conferuntur.
Page: 343 (223)
[306.] Experimentum
Page: 343 (223)
[307.] Machina2. Qua Corporum ſolidorum Denſitates conferuntur.
Page: 344 (224)
[308.] LIBRI II. Pars II. De Motu & Reſiſtentiâ Fluidorum. CAPUT VI. De celeritate fluidi, ex preſſione fluidi ſuperincum-bentis.
Page: 349 (226)
[309.] Machina Qua Experimenta de Fluidis proſilientibus inſti-tuuntur.
Page: 350 (227)
[310.] Experimentum1.
Page: 351 (228)
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            portionalis eſt quantitati materiæ, & </s>
            <s xml:id="echoid-s8206" xml:space="preserve">non mutatur immerſio-
              <lb/>
            ne ſolidi in fluidum; </s>
            <s xml:id="echoid-s8207" xml:space="preserve">quare ſumma ponderum ſolidi & </s>
            <s xml:id="echoid-s8208" xml:space="preserve">flui-
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            di, & </s>
            <s xml:id="echoid-s8209" xml:space="preserve">ante & </s>
            <s xml:id="echoid-s8210" xml:space="preserve">poſt immerſionem, non differt.</s>
            <s xml:id="echoid-s8211" xml:space="preserve"/>
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        <div xml:id="echoid-div1165" type="section" level="1" n="292">
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            <emph style="sc">Experimentum</emph>
          6.</head>
          <p>
            <s xml:id="echoid-s8212" xml:space="preserve">Unco Vlancis A libræ appendatur ſolidum C, & </s>
            <s xml:id="echoid-s8213" xml:space="preserve">detur æqui-
              <lb/>
              <note position="left" xlink:label="note-0302-01" xlink:href="note-0302-01a" xml:space="preserve">761.</note>
            librium, lanci B impoſitis ponderibus P & </s>
            <s xml:id="echoid-s8214" xml:space="preserve">p, quorum p va-
              <lb/>
              <note position="left" xlink:label="note-0302-02" xlink:href="note-0302-02a" xml:space="preserve">TAB. XXIX.
                <lb/>
              fig. 5.</note>
            let pondus quod corpus C in aqua amittit. </s>
            <s xml:id="echoid-s8215" xml:space="preserve">Detur etiam
              <lb/>
            vas D aquam continens, & </s>
            <s xml:id="echoid-s8216" xml:space="preserve">libræ EF, quæ pede ſuſtine-
              <lb/>
            tur, appenſum; </s>
            <s xml:id="echoid-s8217" xml:space="preserve">pondere lanci oppoſitæ impoſito, detur
              <lb/>
            & </s>
            <s xml:id="echoid-s8218" xml:space="preserve">hìc æquilibrium; </s>
            <s xml:id="echoid-s8219" xml:space="preserve">deſcendat bilanx cum corpore C, ut
              <lb/>
            hoc aquâ, in vaſe D, contentâ immergatur, deſtruitur
              <lb/>
            æquilibrium in ambabus libris, quæ ambæ ad ipſum rede-
              <lb/>
            unt, transferendo pondus p ex lance B in lancem bra-
              <lb/>
            chii F.</s>
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          <p>
            <s xml:id="echoid-s8221" xml:space="preserve">Corpus, fluido ſpecifice gravius, & </s>
            <s xml:id="echoid-s8222" xml:space="preserve">quod in hoc de-
              <lb/>
              <note position="left" xlink:label="note-0302-03" xlink:href="note-0302-03a" xml:space="preserve">662.</note>
            ſcendit, majori vi deorſum fertur quam ſurſum premitur,
              <lb/>
            ut antea explicatum ; </s>
            <s xml:id="echoid-s8223" xml:space="preserve">quarum virium differentia eſt
              <note symbol="*" position="left" xlink:label="note-0302-04" xlink:href="note-0302-04a" xml:space="preserve">748.</note>
            poris gravitas reſpectiva. </s>
            <s xml:id="echoid-s8224" xml:space="preserve">Vis prima pro parte conſtat ex
              <lb/>
            pondere fluidi corpori ſuperincumbentis; </s>
            <s xml:id="echoid-s8225" xml:space="preserve">& </s>
            <s xml:id="echoid-s8226" xml:space="preserve">corpus ad ta-
              <lb/>
            lem poteſt immergi profunditatem, ut hocce pondus æqua-
              <lb/>
            le ſit memoratæ gravitati reſpectivæ; </s>
            <s xml:id="echoid-s8227" xml:space="preserve">ſi in hoc caſu fluidum
              <lb/>
            hoc ſuperincumbens tollatur, ſuſtinebitur corpus a preſſione
              <lb/>
            fluidi inferioris. </s>
            <s xml:id="echoid-s8228" xml:space="preserve">Si ad majorem profunditatem corpus im-
              <lb/>
              <note position="left" xlink:label="note-0302-05" xlink:href="note-0302-05a" xml:space="preserve">763.</note>
            mergatur, & </s>
            <s xml:id="echoid-s8229" xml:space="preserve">etiam fluidum cohibeatur ne in ſuperficiem
              <lb/>
            corporis ſupremam premat, (cum preſſio, qua corpus ſur-
              <lb/>
            ſum pellitur, cum profunditate ad quam immergitur cre-
              <lb/>
            ſcat ) majori vi in altum feretur corpus quam
              <note symbol="*" position="left" xlink:label="note-0302-06" xlink:href="note-0302-06a" xml:space="preserve">742.</note>
            tate deſcendet, quare, ſi libere moveri poſſit, adſcen-
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            det.</s>
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            <emph style="sc">Experimentum</emph>
          7.</head>
          <p>
            <s xml:id="echoid-s8231" xml:space="preserve">Cylindro C, ab utraque parte aperto, applicetur ab in-
              <lb/>
              <note position="left" xlink:label="note-0302-07" xlink:href="note-0302-07a" xml:space="preserve">764.</note>
            feriori parte lamina plumbea F, craſſitiei quartæ partis
              <lb/>
              <note position="left" xlink:label="note-0302-08" xlink:href="note-0302-08a" xml:space="preserve">TAB. XXX.
                <lb/>
              fig. 1.</note>
            unius pollicis; </s>
            <s xml:id="echoid-s8232" xml:space="preserve">ſi ita exacte cum cylindro congruat, ut aquam
              <lb/>
            excludat, laminaque filo, unco V in centro laminæ alligato,
              <lb/>
            ſuſtineatur, donec ad profunditatem circiter trium pollicum
              <lb/>
            aquâ immergatur, ab aqua ſuſtinebitur, quod relicto filo </s>
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