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

Table of Notes

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            verſæ habere denſitatis ſpecificæ mihi admodum eſt probabile, quia nullam vi-
              <lb/>
            deo rationem, cur in omnibus planetis ſimiles eſſe debeant iſtæ particulæ. </s>
            <s xml:id="echoid-s7397" xml:space="preserve">Sed
              <lb/>
            à particularum gravium denſitate in quolibet planeta pendet hujus vis centrifuga
              <lb/>
            ſeu conatus recedendi à ſole. </s>
            <s xml:id="echoid-s7398" xml:space="preserve">Igitur nondum licet colligere planetarum vires
              <lb/>
            centrifagas ſe habere, in ratione quadr ata reciproca eorundem diſtantiarum à
              <lb/>
            ſole ex eo, quod tempora periodica rationem ſequantur ſeſquiplicatam diſtan-
              <lb/>
            tiarum: </s>
            <s xml:id="echoid-s7399" xml:space="preserve">talis enim concluſio ſupponit ſimilem in omnibus planetis particula-
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            rum gravium denſitatem.</s>
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            <s xml:id="echoid-s7401" xml:space="preserve">§. </s>
            <s xml:id="echoid-s7402" xml:space="preserve">17. </s>
            <s xml:id="echoid-s7403" xml:space="preserve">Planetarum vires centrifugæ æquales utique ſunt viribus contra-
              <lb/>
            riis quibus verſus ſolem trahuntur: </s>
            <s xml:id="echoid-s7404" xml:space="preserve">Quia autem, ut dixi in ſuperiori paragra-
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            pho, nondum certum eſt, in quanam ratione reſpectu diſtantiarum à ſole vi-
              <lb/>
            res planetarum centrifugæ mutentur, ideo neque de eorum viribus gravitatis
              <lb/>
            verſus ſolem aliquid certi ſtatuere licet; </s>
            <s xml:id="echoid-s7405" xml:space="preserve">Et plurima quidem ſunt in vorticum
              <lb/>
            hypotheſi, quæ vires gravitatis in diverſis diſtantiis conſtituunt & </s>
            <s xml:id="echoid-s7406" xml:space="preserve">determinant.</s>
            <s xml:id="echoid-s7407" xml:space="preserve"/>
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            <s xml:id="echoid-s7408" xml:space="preserve">Cum enim vis gravitatis ſit æqualis vi centrifugæ materiæ ſubtilis, quæ
              <lb/>
            particulas corporis graves penetrare nequit, ſequitur eo majorem eſſe vim gra-
              <lb/>
            vitatis, quo majori materiæ ſubtilis quantitati tranſitus negatur; </s>
            <s xml:id="echoid-s7409" xml:space="preserve">quia vero ſci-
              <lb/>
            mus corpus ſæpe fluido uni impenetrabile eſſe, quod alii fluido ſubtiliori li-
              <lb/>
            berrimum concedit transfluxum, fieri poteſt, ſi modo materiam vorticoſam
              <lb/>
            in diverſis à centro vorticis diſtantiis inæqualiter ſubtilem putemus, ut unus
              <lb/>
            idemque planeta in inæqualibus à ſole diſtantiis inæqualiter ad ſolem pellatur,
              <lb/>
            quod idem facilius contingere poteſt @in diverſis planetis, quia accedit diverſa
              <lb/>
            quæ eſſe poteſt particularum gravium, ſtructura.</s>
            <s xml:id="echoid-s7410" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7411" xml:space="preserve">Præter hæc ſunt etiam diverſa materiæ vorticoſæ denſitas, velocitas di-
              <lb/>
            ftantiaque à centro, quæ concurrunt ad vim gravitatis formandam. </s>
            <s xml:id="echoid-s7412" xml:space="preserve">Si vero
              <lb/>
            eorum ratio habeatur, apparebit poſſe quidem vires gravitatis decreſcere
              <lb/>
            creſcentibus diſtantiis à centro virium, neque tamen propterea vires centrifugas
              <lb/>
            æqualium materiæ vorticoſæ voluminum pariter decreſcere, quod poſterius
              <lb/>
            ob rationem §. </s>
            <s xml:id="echoid-s7413" xml:space="preserve">6. </s>
            <s xml:id="echoid-s7414" xml:space="preserve">expoſitam fieri non poſſe exiſtimo.</s>
            <s xml:id="echoid-s7415" xml:space="preserve"/>
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            <s xml:id="echoid-s7416" xml:space="preserve">l
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            ſta vero quæ generaliter & </s>
            <s xml:id="echoid-s7417" xml:space="preserve">obiter diſputavimus de natura vorticum eo-
              <lb/>
            rumque ad Phænomena gravitatis applicatione, ſufficiant: </s>
            <s xml:id="echoid-s7418" xml:space="preserve">animus non </s>
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