Bernoulli, Daniel
,
Hydrodynamica, sive De viribus et motibus fluidorum commentarii
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SECTIO DECIMA.
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confirmatur ex eo quod culmen montis Pici per decem fere menſium ſpa-
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tium ſit nive obtectum, dum in ipſa Teneriffæ inſula nunquam ut ferunt
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ningit. </
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<
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xml:space
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">Igitur non abſurde denſitates mediæ cenſeri poſſunt diminui in ratio-
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ne ut (22000 + x)
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ad 22000
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, ut §. </
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<
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<
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xml:space
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">aſſumtum fuit; </
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<
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xml:space
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tates ubique decreſcant in ratione ut 22000 + x ad 22000; </
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<
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xml:space
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">neque enim hæ
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in iisdem à ſuperficie terræ altitudinibus differre poſſunt, niſi à cauſis fortuito
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ſupervenientibus & </
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<
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<
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<
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xml:space
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">In terris, quæ intra quadrageſimum & </
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<
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">ſexageſimum latitudi-
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nis gradum continentur, probabile eſt denſitates in eadem proxime ratione
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decreſcere qua elaſticitates; </
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<
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xml:space
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">hancque ob rationem volui periculum facere,
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quænam inde refractionum theoria oriatur, qua de re nunc quædam adjiciam.</
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">Digreſsio de refractione radiorum per atmoſphæ-
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ram transeuntium.</
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<
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">(α) Proprietas eſt notiſſima radiorum ex uno medio in aliud inciden-
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tium eaque innumeris experimentis confirmata, quod angulus incidentiæ ad
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angulum refractionis conſtantem ſervat rationem: </
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<
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xml:space
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">præterea etiam patet,
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ſi refractio fiat infinite parva, id eſt, ſi differentia utriusque ſinus rationem
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habeat infinite parvam ad alterutrum ſinum, fore ut ſinus anguli, qui inter-
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cipitur inter radium incidentiæ prolongatum & </
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<
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">radium refractum, eandem
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habeat rationem ad ſinum totum, quam habet differentia ſinuum angulo-
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rum incidentiæ & </
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<
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<
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quem modo allegavi, angulum interceptum inter radium incidentiæ prolon-
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gatum & </
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<
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xml:space
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">radium refractum, deinceps vocabo angulum refractionis differentia-
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lem. </
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<
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">Exinde ſequitur, quod ſit cæteris paribus ſinus anguli refractionis differen-
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tialis proportionalis ſinui anguli incidentiæ diviſo per coſinum ejusdem anguli.</
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<
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xml:space
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">(β) Experimenta porro docent, ſi radius ex aëre in aërem diverſæ ab
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altero denſitatis incidat, eſſe angulum refractionis differentialem cæteris pari-
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bus differentiæ denſitatum proportionalem.</
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<
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à D. </
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