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

Table of Notes

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            <s xml:id="echoid-s9299" xml:space="preserve">
              <pb o="251" file="0347" n="380" rhead="MATHEMATICA. LIB. II. CAP. IX."/>
            quæ non mutatur, deſignante) latera ut FG inter ſe pro-
              <lb/>
            portionem actionum aquæ in globum ſervabunt. </s>
            <s xml:id="echoid-s9300" xml:space="preserve">Hæ au-
              <lb/>
            tem ſunt ut quadrata velocitatum aquarum in locis
              <lb/>
            in quibus Experimenta inſtituta ſunt ut in cap. </s>
            <s xml:id="echoid-s9301" xml:space="preserve">
              <emph style="sc">XI</emph>
            . </s>
            <s xml:id="echoid-s9302" xml:space="preserve">videbi-
              <lb/>
            mus.</s>
            <s xml:id="echoid-s9303" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9304" xml:space="preserve">Actio aquæ in globum cum pondere conferri poteſt, eſt
              <lb/>
              <note position="right" xlink:label="note-0347-01" xlink:href="note-0347-01a" xml:space="preserve">870.</note>
            enim ad globi pondus reſpectivum ut FG ad EF.</s>
            <s xml:id="echoid-s9305" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9306" xml:space="preserve">Pondusque hac proportione detectum eſt pondus cy-
              <lb/>
            lindri aquei, cujusbaſeos diameter eſt globi diameter, & </s>
            <s xml:id="echoid-s9307" xml:space="preserve">cujus
              <lb/>
            altitudo illa eſt, a qua cadendo in vacuo corpus acquirit ve-
              <lb/>
            locitatem qua aqua in globum incurrit; </s>
            <s xml:id="echoid-s9308" xml:space="preserve">ut hoc etiam in cap.
              <lb/>
            </s>
            <s xml:id="echoid-s9309" xml:space="preserve">
              <emph style="sc">XI</emph>
            . </s>
            <s xml:id="echoid-s9310" xml:space="preserve">demonſtramus. </s>
            <s xml:id="echoid-s9311" xml:space="preserve">Data nunc hac altitudine, dabitur (ſi du-
              <lb/>
            ratio vibrationis penduli cujuſcunque, cujus longitudo no-
              <lb/>
            ta eſt, determinata fuerit) ſpatium, quod ab aqua in tem-
              <lb/>
            pore noto poteſt percurri, & </s>
            <s xml:id="echoid-s9312" xml:space="preserve">ſicetiam aquæ quantitas
              <note symbol="*" position="right" xlink:label="note-0347-02" xlink:href="note-0347-02a" xml:space="preserve">288. 255. 257.</note>
            per locum magnitudine datum, in fluminis ſectione, in
              <lb/>
            dato tempore, fluit.</s>
            <s xml:id="echoid-s9313" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9314" xml:space="preserve">Notandum hanc velocitatis aquæ determinationem non
              <lb/>
            bene procedere in aquæ ſuperficie; </s>
            <s xml:id="echoid-s9315" xml:space="preserve">quia actio aquæ
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            in globum ibi irregularis eſt. </s>
            <s xml:id="echoid-s9316" xml:space="preserve">Poteſt hæc celeri-
              <lb/>
              <note position="right" xlink:label="note-0347-03" xlink:href="note-0347-03a" xml:space="preserve">871.</note>
            tas detegi immergendo aquâ corpus, aquâ paululum levius,
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            quod verſus ſuperficiem hæreat, & </s>
            <s xml:id="echoid-s9317" xml:space="preserve">non ſatis hanc excedat
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            ut motu venti affici poſſit; </s>
            <s xml:id="echoid-s9318" xml:space="preserve">cum gravitates ſpecificæ aquæ
              <lb/>
            & </s>
            <s xml:id="echoid-s9319" xml:space="preserve">corporis vix differant, & </s>
            <s xml:id="echoid-s9320" xml:space="preserve">hoc pro toto immerſo haberi
              <lb/>
            poſſit, eadem celeritate cum aqua movebitur, & </s>
            <s xml:id="echoid-s9321" xml:space="preserve">menſura-
              <lb/>
            ri tempus, ope penduli, poterit, dum corpus ſpatium an-
              <lb/>
            te menſuratum percurrit. </s>
            <s xml:id="echoid-s9322" xml:space="preserve">Quando vento aquæ ſuperfi-
              <lb/>
            cies agitatur, non bene Experimentum procedet, pro-
              <lb/>
            pter motum undarum, quo in corporis motu irregularitas
              <lb/>
            datur.</s>
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