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

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          <pb o="187" file="0717" n="788" rhead="MATHEMATICA LIB. IV. CAP. XVII."/>
          <p>
            <s xml:id="echoid-s18783" xml:space="preserve">Ponamus Tellurem fluidam, memoratam ſphæroidem ac-
              <lb/>
              <note position="right" xlink:label="note-0717-01" xlink:href="note-0717-01a" xml:space="preserve">1365.</note>
            quiret figuram ; </s>
            <s xml:id="echoid-s18784" xml:space="preserve">ſi cohæreant partes verſus centrum, non
              <note symbol="*" position="right" xlink:label="note-0717-02" xlink:href="note-0717-02a" xml:space="preserve">1362.</note>
            ſitus aliarum mutari poteſt, neque mutabitur, ſi in quibus-
              <lb/>
            dam locis partes ad ſuperſiciem uſque cohæreant inter ſe; </s>
            <s xml:id="echoid-s18785" xml:space="preserve">ita
              <lb/>
            ut Maris ſuperficies neceſſario acquirat ſphæroidem figuram
              <lb/>
            ad Polos depreſſam. </s>
            <s xml:id="echoid-s18786" xml:space="preserve">Cùm verò, parum tantùm, ubique lit-
              <lb/>
            tora ſupra Maris ſuperficiem, eleventur, continentem eandem
              <lb/>
            ſequi figuram extra dubium eſt.</s>
            <s xml:id="echoid-s18787" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s18788" xml:space="preserve">Ut nunc hanc menſuremus elevationem, id eſt quantum
              <lb/>
            diameter Æquatoris, ſuperet Axem, ad motum Telluris cir-
              <lb/>
            ca hunc in ſpatio 23 ho. </s>
            <s xml:id="echoid-s18789" xml:space="preserve">56′. </s>
            <s xml:id="echoid-s18790" xml:space="preserve">4″. </s>
            <s xml:id="echoid-s18791" xml:space="preserve"> attendendum eſt; </s>
            <s xml:id="echoid-s18792" xml:space="preserve">& </s>
            <s xml:id="echoid-s18793" xml:space="preserve">
              <note symbol="*" position="right" xlink:label="note-0717-03" xlink:href="note-0717-03a" xml:space="preserve">960.</note>
            ti methodo, poſitâ Tellure homogeneâ computatio inſtitui-
              <lb/>
            tur.</s>
            <s xml:id="echoid-s18794" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s18795" xml:space="preserve">Telluris periſeria eſt pedum Rhenolandicorum 128202185.</s>
            <s xml:id="echoid-s18796" xml:space="preserve">;
              <lb/>
              <note position="right" xlink:label="note-0717-04" xlink:href="note-0717-04a" xml:space="preserve">1366.</note>
            ideò in uno minuto ſecundo temporis, punctum Æquatoris per-
              <lb/>
            currit pedes 1488.</s>
            <s xml:id="echoid-s18797" xml:space="preserve">; cujus arcus ſinus verſus eſt pedum o, 054,
              <lb/>
            ſpatium quod in tali tempore ex vi centriſugâ à corpore per-
              <lb/>
            curri poteſt.</s>
            <s xml:id="echoid-s18798" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s18799" xml:space="preserve">Gravitate corpus, in uno minuto ſecundo, ut antea jam
              <lb/>
            vidimus, cadendo percurrit pedes 15, 607; </s>
            <s xml:id="echoid-s18800" xml:space="preserve">Sed hæc experi-
              <lb/>
            menta inſtituta ſuere ad diſtantiam 48. </s>
            <s xml:id="echoid-s18801" xml:space="preserve">gr. </s>
            <s xml:id="echoid-s18802" xml:space="preserve">ab Æquatore E e,
              <lb/>
              <note position="right" xlink:label="note-0717-05" xlink:href="note-0717-05a" xml:space="preserve">
                <emph style="sc">TAB. XXV</emph>
              .</note>
              <note position="right" xlink:label="note-0717-06" xlink:href="note-0717-06a" xml:space="preserve">fig. 7.</note>
            in pnncto A; </s>
            <s xml:id="echoid-s18803" xml:space="preserve">vis centriſuga in E eſt ad vim centriſugam
              <lb/>
            in A, ut CE, aut CA, nam parum admodum differunt hæ
              <lb/>
            lineæ, ad AB; </s>
            <s xml:id="echoid-s18804" xml:space="preserve">ſit vis hæ centrifuga Ab; </s>
            <s xml:id="echoid-s18805" xml:space="preserve">ductâ perpen-
              <lb/>
            diculari ba ad CA continuatam, relolvatur vis per A b, in
              <lb/>
            duas per A a & </s>
            <s xml:id="echoid-s18806" xml:space="preserve">ab; </s>
            <s xml:id="echoid-s18807" xml:space="preserve">illâ ſolâ minuitur gravitas, & </s>
            <s xml:id="echoid-s18808" xml:space="preserve">eſt
              <note symbol="*" position="right" xlink:label="note-0717-07" xlink:href="note-0717-07a" xml:space="preserve">192.</note>
            ad vim illam minuentem, ut CA ad AB; </s>
            <s xml:id="echoid-s18809" xml:space="preserve">propter ſimilia trian-
              <lb/>
            gula rectangula, Aba, & </s>
            <s xml:id="echoid-s18810" xml:space="preserve">ABC, habentia in A angulos
              <lb/>
            oppoſitos ad verticem æquales; </s>
            <s xml:id="echoid-s18811" xml:space="preserve">eſt ideò vis centrifuga in Æ
              <lb/>
            quatore, qua corpus in minuto ſecundo percurrit O, 054; </s>
            <s xml:id="echoid-s18812" xml:space="preserve">ad
              <lb/>
            vim, gravitatem minuentem in A, in ratione duplicatâ
              <lb/>
            radii AC ad AB, co-ſinum latitudinis AE, 48. </s>
            <s xml:id="echoid-s18813" xml:space="preserve">gr.</s>
            <s xml:id="echoid-s18814" xml:space="preserve">; ita ut ex
              <lb/>
            hac vi minuente corpus in uno minuto ſecundo percurrat O, 0243.</s>
            <s xml:id="echoid-s18815" xml:space="preserve">;
              <lb/>
            quare, ſi Tellus quieſceret cadendo non percurreret pedes 15, 607.</s>
            <s xml:id="echoid-s18816" xml:space="preserve">,
              <lb/>
            ſed pedes 15, 632; </s>
            <s xml:id="echoid-s18817" xml:space="preserve">qua gravitate corpus ſub Polis cadit, quia
              <lb/>
            puncta hæc non moventur. </s>
            <s xml:id="echoid-s18818" xml:space="preserve">Ad Æquatorem vi centrifugâ per-
              <lb/>
            currit corpus O, 054. </s>
            <s xml:id="echoid-s18819" xml:space="preserve">& </s>
            <s xml:id="echoid-s18820" xml:space="preserve">tantum cadit, in eodem tempore </s>
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