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

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        <div xml:id="echoid-div1789" type="section" level="1" n="424">
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            <s xml:id="echoid-s12329" xml:space="preserve">
              <pb o="345" file="0469" n="516" rhead="MATHEMATICA. LIB. II. CAP XIX."/>
            rum eodem tempore agentium. </s>
            <s xml:id="echoid-s12330" xml:space="preserve">Etiam rationem ſpatii itu & </s>
            <s xml:id="echoid-s12331" xml:space="preserve">reditu a par-
              <lb/>
            ticulis percurſi; </s>
            <s xml:id="echoid-s12332" xml:space="preserve">quo enim hoc ſpatium majus eſt, eo particulæ à tym-
              <lb/>
            pano magis remotæ in hoc incurrunt. </s>
            <s xml:id="echoid-s12333" xml:space="preserve">Tandem rationem inverſam latitu-
              <lb/>
            dinis undæ.</s>
            <s xml:id="echoid-s12334" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s12335" xml:space="preserve">Quadratum velocitatis quo ſingulæ particulæ agunt, ſequitur rationem
              <lb/>
            quadrati velocitatis undæ. </s>
            <s xml:id="echoid-s12336" xml:space="preserve">Quadrati ſpatii itu & </s>
            <s xml:id="echoid-s12337" xml:space="preserve">reditu percurſi. </s>
            <s xml:id="echoid-s12338" xml:space="preserve">Tandem
              <lb/>
            rationem inverſam quadrati latitudinis undæ,</s>
          </p>
          <p>
            <s xml:id="echoid-s12339" xml:space="preserve">Quando velocitas undæ non mutatur ratio inverſa latitudinis undæ eſt ratio di-
              <lb/>
              <note position="right" xlink:label="note-0469-01" xlink:href="note-0469-01a" xml:space="preserve">1227.</note>
            recta numeri undarum determinato tempore in aurem incurrentium; </s>
            <s xml:id="echoid-s12340" xml:space="preserve">poſitis un-
              <lb/>
            dis æqualibus ſeſe mutuo inſequentibus, quales ſunt undæ, quæ ex continua-
              <lb/>
            ta fibræ agitatione generantur.</s>
            <s xml:id="echoid-s12341" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s12342" xml:space="preserve">Ratio compoſita ex memoratis omnibus eſt ratio compoſita ex ratione
              <lb/>
            denſitatis, ratione cubi velocitatis, ratione cubi ſpatii itu & </s>
            <s xml:id="echoid-s12343" xml:space="preserve">reditu percurſi,
              <lb/>
            & </s>
            <s xml:id="echoid-s12344" xml:space="preserve">ratione inverſa cubi latitudinis undæ.</s>
            <s xml:id="echoid-s12345" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s12346" xml:space="preserve">Si ſeponamus accelerationem in n. </s>
            <s xml:id="echoid-s12347" xml:space="preserve">1163. </s>
            <s xml:id="echoid-s12348" xml:space="preserve">memoratam, (quæ non mutat
              <lb/>
            velocitatem qua ſingulæ particulæ moventur, de qua in hiſce tantum agitur;)
              <lb/>
            </s>
            <s xml:id="echoid-s12349" xml:space="preserve">cubus velocitatis ſequitur rationem ſeſquiplicatam directam Elaſticitatis
              <lb/>
            & </s>
            <s xml:id="echoid-s12350" xml:space="preserve">ſeſquiplicatam inverſam denſitatis .</s>
            <s xml:id="echoid-s12351" xml:space="preserve"/>
          </p>
          <note symbol="*" position="right" xml:space="preserve">1157.</note>
          <p>
            <s xml:id="echoid-s12352" xml:space="preserve">Duæ ergo primæ rationes memoratæ reducuntur ad rationem ſeſquiplica-
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            tam elaſticitatis & </s>
            <s xml:id="echoid-s12353" xml:space="preserve">rationem inverſam ſubduplicatam denſitatis. </s>
            <s xml:id="echoid-s12354" xml:space="preserve">Elaſticitas
              <lb/>
            autem eſt ut pondus comprimens , quod ſequitur rationem altitudinis
              <note symbol="*" position="right" xlink:label="note-0469-03" xlink:href="note-0469-03a" xml:space="preserve">247.</note>
            curii in Tubo Torricelliano.</s>
            <s xml:id="echoid-s12355" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s12356" xml:space="preserve">Generaliter ergo, eſt ſoni intenſitas directe ut radix quadrata cubi altitudinis
              <lb/>
              <note position="right" xlink:label="note-0469-04" xlink:href="note-0469-04a" xml:space="preserve">1228.</note>
            Mercurii in tubo Torricelliano, ut cubus ſpatii itu & </s>
            <s xml:id="echoid-s12357" xml:space="preserve">reditupercurſi, & </s>
            <s xml:id="echoid-s12358" xml:space="preserve">inverſè ut
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            subus latitudinis undæ, & </s>
            <s xml:id="echoid-s12359" xml:space="preserve">ut radix quadrata denſitatis.</s>
            <s xml:id="echoid-s12360" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1795" type="section" level="1" n="425">
          <head xml:id="echoid-head573" xml:space="preserve">FINIS.</head>
          <head xml:id="echoid-head574" xml:space="preserve">CORRIGENDA.</head>
          <note position="right" xml:space="preserve">
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          Pag. # lin. # dele # lege
            <lb/>
          10. # 5. # augulos # angulos
            <lb/>
          10. # 18. # logarhthmicas # logarithmicas
            <lb/>
          69. # 18. # pendulorum # penduli
            <lb/>
          72. # 4. # Abl # Hbl
            <lb/>
          72. # 36. # OQ # BQ
            <lb/>
          72. # 37. # A # P
            <lb/>
          77. # 5. # BEl # BEL
            <lb/>
          80. # 23. # AMB # ALB
            <lb/>
          98. # penult. # continentur # continetur
            <lb/>
          100. # 35. # quorum # quarum
            <lb/>
          101. # 4. a fine # ALb # AbL
            <lb/>
          101. # 3. a fine # A eſt L # eſt AL
            <lb/>
          102. # 4. # LI, # LI
            <lb/>
          </note>
        </div>
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