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

Table of handwritten notes

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            dus columnæ A g, antequam novus caloris gradus ſuperveniret, = A, alte-
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            rius B h = α, pondus columnæ g C = B, columnæ h D = β: </s>
            <s xml:id="echoid-s6161" xml:space="preserve">pondus co-
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            lumnæ A g rarefactæ = C, pondus columnæ B h itidem rarefactæ = γ: </s>
            <s xml:id="echoid-s6162" xml:space="preserve">al-
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            titudo mercurii in g ante expanſionem aëris A g & </s>
            <s xml:id="echoid-s6163" xml:space="preserve">B h = l, altitudo ſimilis
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            poſt iſtam expanſionem = x & </s>
            <s xml:id="echoid-s6164" xml:space="preserve">habebimus hanc analogiam
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            B + β: </s>
            <s xml:id="echoid-s6165" xml:space="preserve">l:</s>
            <s xml:id="echoid-s6166" xml:space="preserve">: B + A - C + β + α - γ: </s>
            <s xml:id="echoid-s6167" xml:space="preserve">x: </s>
            <s xml:id="echoid-s6168" xml:space="preserve">unde eſt
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            x = {B + A - C + β + α - γ/B + β}l.</s>
            <s xml:id="echoid-s6169" xml:space="preserve"/>
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            <s xml:id="echoid-s6170" xml:space="preserve">Igitur aſcendet mercurius ab rarefacto aëre inferiore per altitudinem
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            x - l = {A - C + α - γ/B + β} l = (poſitis omnibus in utroque tubo paribus) {A - C/B} l.</s>
            <s xml:id="echoid-s6171" xml:space="preserve"/>
          </p>
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            <s xml:id="echoid-s6172" xml:space="preserve">Refrigeſcente autem rurſus aëre in A g & </s>
            <s xml:id="echoid-s6173" xml:space="preserve">B h iterum deſcendet mercu-
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            rius in utroque barometro.</s>
            <s xml:id="echoid-s6174" xml:space="preserve"/>
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            <s xml:id="echoid-s6175" xml:space="preserve">Notandum hic eſt, poſſe hoc modo à parvula caloris mutatione in A g
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            atque B h notabilem oriri in barometro variationem ob inſignem aëris denſi-
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            tatem in partibus inferioribus, qua fieri poteſt, ut in parte A g multo plus
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            aëris contineatur (imo infinities, ſi aër vi infinita preſſus in infinitè parvum
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            ſpatium condenſari ponatur) quam in reliqua g C, etiamſi longitudine infini-
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            ta. </s>
            <s xml:id="echoid-s6176" xml:space="preserve">Unde ſi pondus A admodum majus ſit pondere B, ſimulque manente
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            cauſa aërem rarefaciente, pondus C datam ſervet rationem ad A, quod ita
              <lb/>
            fere fit, apparet aſcenſum mercurii à minimo caloris gradu ſuperveniente in
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            A g poſſe utcunque magnum eſſe.</s>
            <s xml:id="echoid-s6177" xml:space="preserve"/>
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            <s xml:id="echoid-s6178" xml:space="preserve">Equidem ſi fingatur, partes A g & </s>
            <s xml:id="echoid-s6179" xml:space="preserve">B h ſtrictiores admodum eſſe præ
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            amplitudinibus in g C & </s>
            <s xml:id="echoid-s6180" xml:space="preserve">h D, intelligitur variationes barometi ab aucto di-
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            minutove caloris gradu in A g & </s>
            <s xml:id="echoid-s6181" xml:space="preserve">B h ita fieri minus notabiles, quia ponde-
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            ra A & </s>
            <s xml:id="echoid-s6182" xml:space="preserve">α ipſaque C & </s>
            <s xml:id="echoid-s6183" xml:space="preserve">γ prioribus proportionalia hocmodo decreſcunt; </s>
            <s xml:id="echoid-s6184" xml:space="preserve">atta-
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            men variationes barometricæ, quæ ab hac cauſa proveniant, etiamnum ut-
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            cunque magnæ concipi poterunt.</s>
            <s xml:id="echoid-s6185" xml:space="preserve"/>
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            <s xml:id="echoid-s6186" xml:space="preserve">§. </s>
            <s xml:id="echoid-s6187" xml:space="preserve">20. </s>
            <s xml:id="echoid-s6188" xml:space="preserve">Hæc dum ita perpenduntur, veriſimile fit variationes barome-
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            tricas maxima parte petendas eſſe à celeribus caloris mutationibus in cryp-
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            tis ſubterraneis. </s>
            <s xml:id="echoid-s6189" xml:space="preserve">Multas eſſe eaſque permagnas hujuſmodi cryptas jam diu
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            notum eſt: </s>
            <s xml:id="echoid-s6190" xml:space="preserve">in terra etiam ſolida pori facere poſſunt quod cryptæ: </s>
            <s xml:id="echoid-s6191" xml:space="preserve">ſi om-
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            nes cavitates (tum quæ à cavernis, tum quæ à poris aërem continentibus </s>
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