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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          <pb o="223" file="0313" n="343" rhead="MATHEMATICA. LIB. II. CAP IV."/>
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        <div xml:id="echoid-div1202" type="section" level="1" n="305">
          <head xml:id="echoid-head423" xml:space="preserve">
            <emph style="sc">Machina</emph>
          </head>
          <head xml:id="echoid-head424" xml:space="preserve">Qua ſolidorum Corporum Denſitates conferuntur.</head>
          <p>
            <s xml:id="echoid-s8434" xml:space="preserve">Hìc iterum bilanx hydroſtatica uſu venit , ut & </s>
            <s xml:id="echoid-s8435" xml:space="preserve">vas
              <note position="right" xlink:label="note-0313-01" xlink:href="note-0313-01a" xml:space="preserve">786.</note>
            treum ut D, cui corpora comparanda imponi poſſunt; </s>
            <s xml:id="echoid-s8436" xml:space="preserve">re-
              <lb/>
              <note position="right" xlink:label="note-0313-02" xlink:href="note-0313-02a" xml:space="preserve">TAB XXXI
                <lb/>
              fig 7.</note>
            quiritur etiam pondus ut P (fig.</s>
            <s xml:id="echoid-s8437" xml:space="preserve">6.) </s>
            <s xml:id="echoid-s8438" xml:space="preserve">quod cum hoc vaſe in
              <lb/>
              <note symbol="*" position="right" xlink:label="note-0313-03" xlink:href="note-0313-03a" xml:space="preserve">705.</note>
            aqua ſuſpenſum æquiponderet.</s>
            <s xml:id="echoid-s8439" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8440" xml:space="preserve">Annectitur, ope capilli equini, vas D, loco corporis C
              <lb/>
            (vide fig. </s>
            <s xml:id="echoid-s8441" xml:space="preserve">4.) </s>
            <s xml:id="echoid-s8442" xml:space="preserve">lanci A, & </s>
            <s xml:id="echoid-s8443" xml:space="preserve">aquâ immergitur, pondere P
              <lb/>
            lanci B appenſo, datur æquilibrium. </s>
            <s xml:id="echoid-s8444" xml:space="preserve">Corpus, cujus den-
              <lb/>
            ſitas quæritur lanci A imponitur, & </s>
            <s xml:id="echoid-s8445" xml:space="preserve">ponderatur: </s>
            <s xml:id="echoid-s8446" xml:space="preserve">Idem hoc
              <lb/>
            corpus, reliquis manentibus in vas D, aquâ ut dictum immer-
              <lb/>
            ſum, transfertur, lancique A imponitur quantum ponderis
              <lb/>
            requiritur ut æquilibrium detur; </s>
            <s xml:id="echoid-s8447" xml:space="preserve">hocque eft pondus a cor-
              <lb/>
            pore in aquâ amiſſum, per hoc ergo ipſius corporis pondus
              <lb/>
            dividendum eſt, ut habeamus denſitatem : </s>
            <s xml:id="echoid-s8448" xml:space="preserve">id eſt
              <note symbol="*" position="right" xlink:label="note-0313-04" xlink:href="note-0313-04a" xml:space="preserve">784.</note>
            mus pondus in lance B per pondus in lance A.</s>
            <s xml:id="echoid-s8449" xml:space="preserve"/>
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            <emph style="sc">Experimentum</emph>
          </head>
          <p>
            <s xml:id="echoid-s8450" xml:space="preserve">In ſubjecta tabella habemus quorundam corporum pon-
              <lb/>
              <note position="right" xlink:label="note-0313-05" xlink:href="note-0313-05a" xml:space="preserve">787.</note>
            dera, & </s>
            <s xml:id="echoid-s8451" xml:space="preserve">pondera in aqua amiſſa, indeque deductas denſitates.</s>
            <s xml:id="echoid-s8452" xml:space="preserve"/>
          </p>
          <note position="right" xml:space="preserve">
            <lb/>
          # Pondera \\ corporum. # Pondera in \\ aqua amiſſa. # Denſitates.
            <lb/>
          Plumbum # 582 {1/2} gr. # 51 {1/2} gr. # 11, 31.
            <lb/>
          Argentum # 439 {1/2} gr. # 42 {1/2} gr. # 10, 34.
            <lb/>
          Cuprum # 474. gr. # 54. gr. # 8, 78.
            <lb/>
          Æs calamin. # 356. gr. # 43. gr. # 8, 28.
            <lb/>
          Ferrum # 329. gr. # 43 {1/4} gr. # 7, 60.
            <lb/>
          Stannum # 534 {1/4} gr. # 71 {2/2} gr. # 7, 47.
            <lb/>
          ### Aquæ denſitas cum reliquis collata. # 1, 00.
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s8453" xml:space="preserve">Talis enim detegitur denſitas corporis, quod cum aqua
              <lb/>
            eandem gravitatem fpecificam habet.</s>
            <s xml:id="echoid-s8454" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8455" xml:space="preserve">Hac methodo denſitates etiam corporum aquâ ſpecificè
              <lb/>
            leviorum deteguntur, ſi ita cum vaſe jungantur ut hujus
              <lb/>
            pondere in aquam trahantur.</s>
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          </p>
          <p>
            <s xml:id="echoid-s8457" xml:space="preserve">Annectendo corpus cujus denſitas quæritur, & </s>
            <s xml:id="echoid-s8458" xml:space="preserve">quod flui-
              <lb/>
            do gravius eſt, corpori fluido leviori, etiam denſitas dete-
              <lb/>
            gitur.</s>
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