Bernoulli, Daniel, Hydrodynamica, sive De viribus et motibus fluidorum commentarii

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            <s xml:id="echoid-s6438" xml:space="preserve">
              <pb o="219" file="0233" n="233" rhead="SECTIO DECIMA."/>
            confirmatur ex eo quod culmen montis Pici per decem fere menſium ſpa-
              <lb/>
            tium ſit nive obtectum, dum in ipſa Teneriffæ inſula nunquam ut ferunt
              <lb/>
            ningit. </s>
            <s xml:id="echoid-s6439" xml:space="preserve">Igitur non abſurde denſitates mediæ cenſeri poſſunt diminui in ratio-
              <lb/>
            ne ut (22000 + x)
              <emph style="super">2</emph>
            ad 22000
              <emph style="super">2</emph>
            , ut §. </s>
            <s xml:id="echoid-s6440" xml:space="preserve">27. </s>
            <s xml:id="echoid-s6441" xml:space="preserve">aſſumtum fuit; </s>
            <s xml:id="echoid-s6442" xml:space="preserve">dum elaſtici-
              <lb/>
            tates ubique decreſcant in ratione ut 22000 + x ad 22000; </s>
            <s xml:id="echoid-s6443" xml:space="preserve">neque enim hæ
              <lb/>
            in iisdem à ſuperficie terræ altitudinibus differre poſſunt, niſi à cauſis fortuito
              <lb/>
            ſupervenientibus & </s>
            <s xml:id="echoid-s6444" xml:space="preserve">parum durantibus.</s>
            <s xml:id="echoid-s6445" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6446" xml:space="preserve">§. </s>
            <s xml:id="echoid-s6447" xml:space="preserve">30. </s>
            <s xml:id="echoid-s6448" xml:space="preserve">In terris, quæ intra quadrageſimum & </s>
            <s xml:id="echoid-s6449" xml:space="preserve">ſexageſimum latitudi-
              <lb/>
            nis gradum continentur, probabile eſt denſitates in eadem proxime ratione
              <lb/>
            decreſcere qua elaſticitates; </s>
            <s xml:id="echoid-s6450" xml:space="preserve">hancque ob rationem volui periculum facere,
              <lb/>
            quænam inde refractionum theoria oriatur, qua de re nunc quædam adjiciam.</s>
            <s xml:id="echoid-s6451" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div239" type="section" level="1" n="185">
          <head xml:id="echoid-head236" style="it" xml:space="preserve">Digreſsio de refractione radiorum per atmoſphæ-
            <lb/>
          ram transeuntium.</head>
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            <s xml:id="echoid-s6452" xml:space="preserve">(α) Proprietas eſt notiſſima radiorum ex uno medio in aliud inciden-
              <lb/>
            tium eaque innumeris experimentis confirmata, quod angulus incidentiæ ad
              <lb/>
            angulum refractionis conſtantem ſervat rationem: </s>
            <s xml:id="echoid-s6453" xml:space="preserve">præterea etiam patet,
              <lb/>
            ſi refractio fiat infinite parva, id eſt, ſi differentia utriusque ſinus rationem
              <lb/>
            habeat infinite parvam ad alterutrum ſinum, fore ut ſinus anguli, qui inter-
              <lb/>
            cipitur inter radium incidentiæ prolongatum & </s>
            <s xml:id="echoid-s6454" xml:space="preserve">radium refractum, eandem
              <lb/>
            habeat rationem ad ſinum totum, quam habet differentia ſinuum angulo-
              <lb/>
            rum incidentiæ & </s>
            <s xml:id="echoid-s6455" xml:space="preserve">refractionis ad coſinum anguli incidentiæ. </s>
            <s xml:id="echoid-s6456" xml:space="preserve">Illum vero,
              <lb/>
            quem modo allegavi, angulum interceptum inter radium incidentiæ prolon-
              <lb/>
            gatum & </s>
            <s xml:id="echoid-s6457" xml:space="preserve">radium refractum, deinceps vocabo angulum refractionis differentia-
              <lb/>
            lem. </s>
            <s xml:id="echoid-s6458" xml:space="preserve">Exinde ſequitur, quod ſit cæteris paribus ſinus anguli refractionis differen-
              <lb/>
            tialis proportionalis ſinui anguli incidentiæ diviſo per coſinum ejusdem anguli.</s>
            <s xml:id="echoid-s6459" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6460" xml:space="preserve">(β) Experimenta porro docent, ſi radius ex aëre in aërem diverſæ ab
              <lb/>
            altero denſitatis incidat, eſſe angulum refractionis differentialem cæteris pari-
              <lb/>
            bus differentiæ denſitatum proportionalem.</s>
            <s xml:id="echoid-s6461" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6462" xml:space="preserve">Experimenta autem hanc in rem, quantum fieri poteſt, ſumta fuerunt
              <lb/>
            à D. </s>
            <s xml:id="echoid-s6463" xml:space="preserve">Hauksbée, accuratiſſime, tum de aëre admodum condenſato, </s>
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