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

Page concordance

< >
Scan Original
781 (180)
782 (181)
783 (182)
784 (183)
785 184
786 185
787 186
788 187
789 188
790 189
791 190
792 191
793 192
794 193
795 (194)
796 (195)
797 (196)
798
799
800
801 (197)
802 (198)
803 (199)
804
805
806
807
808
809
810
< >
page |< < (188) of 824 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div2850" type="section" level="1" n="677">
          <p>
            <s xml:id="echoid-s18820" xml:space="preserve">
              <pb o="188" file="0718" n="789" rhead="PHYSICES ELEMENTA"/>
            altitudine pedum 15, 578.</s>
            <s xml:id="echoid-s18821" xml:space="preserve">; unde patet gravitatem ſub Polis eſſe
              <lb/>
            ad gravitatem ſub Æquatore, ut 289 ad 288.</s>
            <s xml:id="echoid-s18822" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s18823" xml:space="preserve">Si ſig. </s>
            <s xml:id="echoid-s18824" xml:space="preserve">7. </s>
            <s xml:id="echoid-s18825" xml:space="preserve">figuram Telluris repræſentat, pondus columnæ
              <lb/>
            liquidi CE erit ad pondus columnæ liquidi CA, quieſcente
              <lb/>
            Tellure, ut 289 ad 288; </s>
            <s xml:id="echoid-s18826" xml:space="preserve">aliter enim, motâ Tellure, æqui-
              <lb/>
            librium non dabitur; </s>
            <s xml:id="echoid-s18827" xml:space="preserve">quia pars {1/259} columnæ CE vi centrifu-
              <lb/>
            gâ ſuſtinetur; </s>
            <s xml:id="echoid-s18828" xml:space="preserve">decreſcit enim vis centrifuga accedendo ad cen-
              <lb/>
            trum in ratione diſtantiæ, in qua etiam ratione
              <note symbol="*" position="left" xlink:label="note-0718-01" xlink:href="note-0718-01a" xml:space="preserve">232.</note>
            vitas , ita ut in ſingulis columnæ punctis eadem pars
              <note symbol="*" position="left" xlink:label="note-0718-02" xlink:href="note-0718-02a" xml:space="preserve">1233.</note>
            ris ſuſtineatur, quàm verſus ſuperſiciem.</s>
            <s xml:id="echoid-s18829" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s18830" xml:space="preserve">Ex his deducimus altitudinem CP, ad Polum, eſſe ad alti-
              <lb/>
              <note position="left" xlink:label="note-0718-03" xlink:href="note-0718-03a" xml:space="preserve">1367.</note>
            tudinem EC, ad Æquatorem, ut 229 ad 230; </s>
            <s xml:id="echoid-s18831" xml:space="preserve">poſitâ enim
              <lb/>
            hac ratione inter Axem & </s>
            <s xml:id="echoid-s18832" xml:space="preserve">Æquatoris diametrum, ſide gravita-
              <lb/>
            tibus in locis P & </s>
            <s xml:id="echoid-s18833" xml:space="preserve">E, Tellare quieſcente. </s>
            <s xml:id="echoid-s18834" xml:space="preserve">computatio inea-
              <lb/>
            tur, deteguntur eſſe inter ſe, ut 1121, 71. </s>
            <s xml:id="echoid-s18835" xml:space="preserve">ad 1120, 71.</s>
            <s xml:id="echoid-s18836" xml:space="preserve">; quæ ra-
              <lb/>
            tio ubique obtinet in punctis reſpondentibus, id eſt quæ diſtant
              <lb/>
            à centro ut CP ad PE; </s>
            <s xml:id="echoid-s18837" xml:space="preserve">quia in utroque crure decreſcit gra-
              <lb/>
            vitas in ratione diſtantiæ à centro . </s>
            <s xml:id="echoid-s18838" xml:space="preserve">Pondus habetur
              <note symbol="*" position="left" xlink:label="note-0718-04" xlink:href="note-0718-04a" xml:space="preserve">1233.</note>
            plicando materiæ quantitatem per gravitatem; </s>
            <s xml:id="echoid-s18839" xml:space="preserve">nam in utriuſque
              <lb/>
            ratione creſcit pondus: </s>
            <s xml:id="echoid-s18840" xml:space="preserve">multiplicando 1121, 71. </s>
            <s xml:id="echoid-s18841" xml:space="preserve">per 229, & </s>
            <s xml:id="echoid-s18842" xml:space="preserve">
              <lb/>
            1120. </s>
            <s xml:id="echoid-s18843" xml:space="preserve">71 per 230. </s>
            <s xml:id="echoid-s18844" xml:space="preserve">producta ſunt inter ſe, ut 288. </s>
            <s xml:id="echoid-s18845" xml:space="preserve">ad 289.</s>
            <s xml:id="echoid-s18846" xml:space="preserve">;
              <lb/>
            quæ eſt ratio ponderum ante detecta. </s>
            <s xml:id="echoid-s18847" xml:space="preserve">Diameter media Tellu-
              <lb/>
            ris eſt 3400669 perticarum , ideò axis PP eſt 3393261, &</s>
            <s xml:id="echoid-s18848" xml:space="preserve">
              <note symbol="*" position="left" xlink:label="note-0718-05" xlink:href="note-0718-05a" xml:space="preserve">976.</note>
            diameter Æquatoris Ee 3408078. </s>
            <s xml:id="echoid-s18849" xml:space="preserve">perticarum, quæ Axem
              <lb/>
            ſuperat perticis 14817, parte nempe {1/230}, & </s>
            <s xml:id="echoid-s18850" xml:space="preserve">Æquator magis
              <lb/>
              <note position="left" xlink:label="note-0718-06" xlink:href="note-0718-06a" xml:space="preserve">1368.</note>
            elevatur perticis 7408, 5.</s>
            <s xml:id="echoid-s18851" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s18852" xml:space="preserve">In hac computatione, ut monuimus, Tellurem homogeneam
              <lb/>
              <note position="left" xlink:label="note-0718-07" xlink:href="note-0718-07a" xml:space="preserve">1369.</note>
            habuimus; </s>
            <s xml:id="echoid-s18853" xml:space="preserve">ſi autem magis denſa ſit ad centrum, materia quæ adji-
              <lb/>
            citur poterit haberi pro corpore ſeparato, à cujus centro pun-
              <lb/>
            cta P & </s>
            <s xml:id="echoid-s18854" xml:space="preserve">E inæqualiter diſtant, & </s>
            <s xml:id="echoid-s18855" xml:space="preserve">in quod ideò diverſam
              <lb/>
            gravitatem habent corpora in P & </s>
            <s xml:id="echoid-s18856" xml:space="preserve">E; </s>
            <s xml:id="echoid-s18857" xml:space="preserve">& </s>
            <s xml:id="echoid-s18858" xml:space="preserve">diſſerentia eo
              <note position="left" xlink:label="note-0718-08" xlink:href="note-0718-08a" xml:space="preserve">1266</note>
            jor erit, quo hæ diſtantiæ magis differunt: </s>
            <s xml:id="echoid-s18859" xml:space="preserve">& </s>
            <s xml:id="echoid-s18860" xml:space="preserve">etiam erit eo
              <lb/>
            major reſpectu totius gravitatis, quo materiæ quantitas adje-
              <lb/>
            cta, aut quod idem eſt, denſitas verſus centrum major eſt.</s>
            <s xml:id="echoid-s18861" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s18862" xml:space="preserve">Magis inter ſe differre vires gravitatis in Polis & </s>
            <s xml:id="echoid-s18863" xml:space="preserve">Æquarore,
              <lb/>
            quàmparte {1/289}, collatis experimentis ad varias Æquatoris diſtan-
              <lb/>
            tias, ope pendulorum inſtitutis, conſtat, quibus vires </s>
          </p>
        </div>
      </text>
    </echo>
Impressum