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

Table of contents

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[271.] CAPUT II. De Actione Fluidorum in Fundos, Latera, & Opercula, vaſorum quibus continentur.
Page: 312 (204)
[272.] Machina
Page: 313 (205)
[273.] Experimentum 1.
Page: 314 (206)
[274.] Experimentum 2.
Page: 318 (207)
[275.] Experimentum 3.
Page: 318 (207)
[276.] Machina Qua demonſtratur Preſſio Fluidorum lateralis.
Page: 319 (208)
[277.] Experimentum 4.
Page: 319 (208)
[278.] Experimentum 5.
Page: 320 (209)
[279.] Follis hydrostaticus.
Page: 320 (209)
[280.] Experimentum 6.
Page: 320 (209)
[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)
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            a parte immerſa occupatum poſſent implere, ſunt ejuſdem
              <lb/>
            ponderis ; </s>
            <s xml:id="echoid-s8320" xml:space="preserve">ergo volumina illarum portionum
              <note symbol="*" position="left" xlink:label="note-0308-01" xlink:href="note-0308-01a" xml:space="preserve">768.</note>
            ſunt inverſè ut denſitates .</s>
            <s xml:id="echoid-s8321" xml:space="preserve"/>
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          <note symbol="*" position="left" xml:space="preserve">738.</note>
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        <div xml:id="echoid-div1189" type="section" level="1" n="300">
          <head xml:id="echoid-head415" xml:space="preserve">
            <emph style="sc">Machina</emph>
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          <head xml:id="echoid-head416" xml:space="preserve">Qua Fluidorum denſitates conferuntur.</head>
          <note position="left" xml:space="preserve">778.</note>
          <p>
            <s xml:id="echoid-s8322" xml:space="preserve">Machina hæc A vitrea eſt, conſtat ex globo cavo, cum
              <lb/>
              <note position="left" xlink:label="note-0308-04" xlink:href="note-0308-04a" xml:space="preserve">TAB XXXI
                <lb/>
              fig. 4.</note>
            tubo cylindrico in partes æquales diviſo Infra globum al-
              <lb/>
            ter minor additur, qui pro parte mercurio aut globulis exi-
              <lb/>
            guis plumbeis impletur, ut eo pondere tubus verticaliter
              <lb/>
            in fluida deſcendat, & </s>
            <s xml:id="echoid-s8323" xml:space="preserve">in hoc ſitu retineatur; </s>
            <s xml:id="echoid-s8324" xml:space="preserve">ne nimium
              <lb/>
            ponderis in minori globo detur cavendum; </s>
            <s xml:id="echoid-s8325" xml:space="preserve">nam ut machi-
              <lb/>
            na fluidis comparandis levior ſit requiritur. </s>
            <s xml:id="echoid-s8326" xml:space="preserve">In variis flui-
              <lb/>
            dis ad varias profunditates deſcendit machina, & </s>
            <s xml:id="echoid-s8327" xml:space="preserve">denſitates
              <lb/>
            horum, ſunt inversè ut partes immerſæ, quæ ergo inter ſe
              <lb/>
            comparandæ ſunt.</s>
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            <s xml:id="echoid-s8329" xml:space="preserve">Filum machinæ alligatur, & </s>
            <s xml:id="echoid-s8330" xml:space="preserve">machina cum filo annexo
              <lb/>
            exacte ponderatur, pondus noſtræ fuit gr. </s>
            <s xml:id="echoid-s8331" xml:space="preserve">550.</s>
            <s xml:id="echoid-s8332" xml:space="preserve">; machina
              <lb/>
            aquâ immerſa ad b deſcendit; </s>
            <s xml:id="echoid-s8333" xml:space="preserve">pondus ergo aquæ ejuſdem
              <lb/>
            voluminis cum parte machinæ immerſa valet gr. </s>
            <s xml:id="echoid-s8334" xml:space="preserve">550 , &</s>
            <s xml:id="echoid-s8335" xml:space="preserve">
              <note symbol="*" position="left" xlink:label="note-0308-05" xlink:href="note-0308-05a" xml:space="preserve">768.</note>
            hocce volumen hoc numero poteſt exprimi. </s>
            <s xml:id="echoid-s8336" xml:space="preserve">Filum memo-
              <lb/>
            ratum unco lancis bilancis hydroſtaticæ annectitur; </s>
            <s xml:id="echoid-s8337" xml:space="preserve">
              <note symbol="*" position="left" xlink:label="note-0308-06" xlink:href="note-0308-06a" xml:space="preserve">705.</note>
            chinâ manente immerſâ, lanci oppoſitæ pondus viginti gr.
              <lb/>
            </s>
            <s xml:id="echoid-s8338" xml:space="preserve">imponitur, & </s>
            <s xml:id="echoid-s8339" xml:space="preserve">lente bilanx elevatur, (quo tubus pro parte
              <lb/>
            aqua extrahitur,) donec detur æquilibrium, ſuperficieſque
              <lb/>
            aquæ tunc pertingit ad punctum d. </s>
            <s xml:id="echoid-s8340" xml:space="preserve">Aqua ſuſtinet pondus
              <lb/>
            totius machinæ, demtis granis viginti, id eſt, ſuſtinet gr. </s>
            <s xml:id="echoid-s8341" xml:space="preserve">
              <lb/>
            530.</s>
            <s xml:id="echoid-s8342" xml:space="preserve">, & </s>
            <s xml:id="echoid-s8343" xml:space="preserve">pondus aquæ ejuſdem voluminis cum parte nunc
              <lb/>
            immerſâ tot grana valet, & </s>
            <s xml:id="echoid-s8344" xml:space="preserve">hoc numero exprimitur, volu-
              <lb/>
            menque partis d b tubi erit 20. </s>
            <s xml:id="echoid-s8345" xml:space="preserve">Si fpatium d b dividatur
              <lb/>
            in partes æquales 10. </s>
            <s xml:id="echoid-s8346" xml:space="preserve">& </s>
            <s xml:id="echoid-s8347" xml:space="preserve">diviſiones continuentur adſcenden-
              <lb/>
            do ultra b, & </s>
            <s xml:id="echoid-s8348" xml:space="preserve">deſcendendo infra d, ſingulæ valebunt 2; </s>
            <s xml:id="echoid-s8349" xml:space="preserve">& </s>
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              <lb/>
            ex nota diviſione, ad quam mazhina in fluidum deſcendit,
              <lb/>
            dabitur volumen partis immerſæ, Ex. </s>
            <s xml:id="echoid-s8351" xml:space="preserve">gr. </s>
            <s xml:id="echoid-s8352" xml:space="preserve">ſi totus tubus ex-
              <lb/>
            tra aquam hæreat, volumen immerſum erit 526. </s>
            <s xml:id="echoid-s8353" xml:space="preserve">ſi ad ſu-
              <lb/>
            premam hìc notatam diviſionem deſcendat, volumen im-
              <lb/>
            merſum erit 556; </s>
            <s xml:id="echoid-s8354" xml:space="preserve">& </s>
            <s xml:id="echoid-s8355" xml:space="preserve">denſitates fluidorum, in quibus </s>
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