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

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          <pb o="279" file="0379" n="414" rhead="MATHEMATICA. LIB. II. CAP. XII."/>
          <p>
            <s xml:id="echoid-s10062" xml:space="preserve">E contra Si corpus, ſpecifice fluido quo immergitur gra-
              <lb/>
              <note position="right" xlink:label="note-0379-01" xlink:href="note-0379-01a" xml:space="preserve">965.</note>
            vius, deſcendat, aut fluido levius adſcendat, continuo ac-
              <lb/>
            celeratur vi quæ valet differentiam gravitatum ſpecificarum
              <lb/>
            corporis & </s>
            <s xml:id="echoid-s10063" xml:space="preserve">fluidi , quæ acceleratio, à gravitate
              <note symbol="*" position="right" xlink:label="note-0379-02" xlink:href="note-0379-02a" xml:space="preserve">751.</note>
            æquabilis eſt , minuitur hæc retardatione a cohæſione
              <note symbol="*" position="right" xlink:label="note-0379-03" xlink:href="note-0379-03a" xml:space="preserve">251.</note>
            riundà, ſed æquabiliter , & </s>
            <s xml:id="echoid-s10064" xml:space="preserve">eſt adhucdum æquabilis
              <note symbol="*" position="right" xlink:label="note-0379-04" xlink:href="note-0379-04a" xml:space="preserve">951.</note>
            celeratio. </s>
            <s xml:id="echoid-s10065" xml:space="preserve">Cum autem retardatio ex ſecundâ caufâ cum
              <lb/>
            velocitate creſcat, minuitur continuò acceleratio; </s>
            <s xml:id="echoid-s10066" xml:space="preserve">& </s>
            <s xml:id="echoid-s10067" xml:space="preserve">cor-
              <lb/>
              <note position="right" xlink:label="note-0379-05" xlink:href="note-0379-05a" xml:space="preserve">966.</note>
            pus magis ac magis accedit ad velocitatem quandam maxi-
              <lb/>
            mam determinatam, ad quam tamen nunquam pertingere po-
              <lb/>
            teſt.</s>
            <s xml:id="echoid-s10068" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10069" xml:space="preserve">Illa verò eſt velocitas maxima in qua retardatio accele-
              <lb/>
              <note position="right" xlink:label="note-0379-06" xlink:href="note-0379-06a" xml:space="preserve">967.</note>
            rationi æqualis eſt; </s>
            <s xml:id="echoid-s10070" xml:space="preserve">ſi enim ad hanc pertingeret corpus,
              <lb/>
            æquabiliter motum continuaret, preſſionibus oppoſitis ſeſe
              <lb/>
            mutuo deſtruentibus.</s>
            <s xml:id="echoid-s10071" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s10072" xml:space="preserve">Corpus cylindricum banc acquirit velocitatem maximam
              <lb/>
              <note position="right" xlink:label="note-0379-07" xlink:href="note-0379-07a" xml:space="preserve">968.</note>
            in vacuo cadendo ab altitudine quæ ſe babet ad cylindri lon-
              <lb/>
            gitudinem, ſi bic juxta axeos directionem in fluido deſcendat,
              <lb/>
            aut ſi de globo agatur, ad hujus diametrum, ut differentia
              <lb/>
            denſitatis corporis in fluido moti cum fluidi denſitate ad hanc
              <lb/>
            fluidi denſitatem , ſinempe ſeponamus retardationem ex
              <note symbol="*" position="right" xlink:label="note-0379-08" xlink:href="note-0379-08a" xml:space="preserve">928.</note>
            tium cobæſione oriundam, qua autem poſita minor erit al-
              <lb/>
            titudo aqua in vacuo cadendo corpus acquirit velocitatem
              <lb/>
            de qua agimus maximam.</s>
            <s xml:id="echoid-s10073" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10074" xml:space="preserve">Relictis nunc motibus, in lineis rectis pauca etiam ad-
              <lb/>
            dam de motu pendulorum.</s>
            <s xml:id="echoid-s10075" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10076" xml:space="preserve">Sit ABD arcus cycloidis in quo pendulum vibratur; </s>
            <s xml:id="echoid-s10077" xml:space="preserve">B pun-
              <lb/>
              <note position="right" xlink:label="note-0379-09" xlink:href="note-0379-09a" xml:space="preserve">969.</note>
            ctum infimum. </s>
            <s xml:id="echoid-s10078" xml:space="preserve">Acceleratio ex gravitate in puncto quocunque
              <lb/>
              <note position="right" xlink:label="note-0379-10" xlink:href="note-0379-10a" xml:space="preserve">TAB. XXXVI.
                <lb/>
              fig. 7.</note>
            ut E eſt ut EB ; </s>
            <s xml:id="echoid-s10079" xml:space="preserve">ſed hæc a cohæſione minuiter
              <note symbol="*" position="right" xlink:label="note-0379-11" xlink:href="note-0379-11a" xml:space="preserve">287.</note>
            ter , ſit hæc diminutio ut BF, acceleratio erit nunc
              <note symbol="*" position="right" xlink:label="note-0379-12" xlink:href="note-0379-12a" xml:space="preserve">951.</note>
            EF, & </s>
            <s xml:id="echoid-s10080" xml:space="preserve">in A erit ut AF. </s>
            <s xml:id="echoid-s10081" xml:space="preserve">Adſcenſu corporis, retardatio in
              <lb/>
            G a gravitate oriunda, erit ut GB, a cohæſione erit ut BF
              <lb/>
            & </s>
            <s xml:id="echoid-s10082" xml:space="preserve">ex his cauſis conjunctis eſt ut GF; </s>
            <s xml:id="echoid-s10083" xml:space="preserve">& </s>
            <s xml:id="echoid-s10084" xml:space="preserve">in tota vibratio-
              <lb/>
            ne ſepoſitâ aliâ reſiſtentiâ, corpus reſpectu puncti F move-
              <lb/>
            tur ut in vacuo agitatur reſpectu B.</s>
            <s xml:id="echoid-s10085" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10086" xml:space="preserve">Vocabimus ideo deſcenſum motum penduli uſque ad </s>
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