Bernoulli, Daniel
,
Hydrodynamica, sive De viribus et motibus fluidorum commentarii
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tionis; </
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<
s
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xml:space
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">deinde quod ibi longitudo penduli ſit æqualis dimidiæ longitudini tubi,
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cum hîc ſit æqualis integræ, quamvis ſi recte res perpendatur, hic potius ſit con-
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ſenſus quam diſſenſus dicendus ob tubi, quæ in priori caſu eſt, duplicationem.</
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<
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">Utroque oſcillationum genere illuſtratur natura undarum ven-
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to agitatarum: </
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<
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xml:space
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">neque enim aliter moventur, quam quod aquæ in illis conti-
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nue aſcendant rurſuſque deſcendant. </
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<
s
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xml:space
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">Ita patet quod dicit Newtonus, tem-
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pora undulationum eſſe in ratione dimidiata latitudinum undarum, quia ponit
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undarum formam ſibi conſtanter eſſe ſimilem & </
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<
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">proinde earum latitudinem
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proportionalem profunditati, ad quam aquæ agitantur. </
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<
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">Veriſimile autem eſt
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profunditatem eam eſſe, quæ pendulo ſimplici cum undis tautochrono, nempe
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v.</
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">Quamvis noluerim ad prolixitatem calculi evitandam, hoc ar-
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gumentum in omni ſua extenſione proſequi, propterque ea de cylindricis va-
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ſis tantum egerim, attamen quia in caſu ſubmerſionis infinitæ, enunciationes
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& </
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<
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">theoremata parum de ſua concinnitate perdunt, ſuperaddam theorema ge-
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nerale pro oſcillationibus aquæ in tubo utcunque inæquali, omiſſa tamen de-
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monſtratione, quæ ex alibi dictis unicuique obvia erit, præſertim vero ex iis
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quæ in Sect. </
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<
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tem eſt, ut cylindricæ ſit ſtructuræ pars illa vaſis ſuperior, in quâ excurſiones
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fiunt.</
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b F ejus amplitudinem in loco ſuperficiei, ponaturque vas ita formatum, ut ſit
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curva FGH ſcala amplitudinum: </
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cujus applicata c M ſit ubique = {bF
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/cG}, & </
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<
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ni cum oſcillationibus aqueæ ſuperficiei = ſpatio bd NL diviſo per b L.</
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cus fuerit, habeatque amplitudinem in regione aquæ ſuperficiei, quæ ſit ad
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orificium ſubmerſum ut m ad n, fore longitudinem penduli Iſochroni cum
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vibrante aqua ad longitudinem ſubmerſi tubi, ut √m ad √n, id eſt, ut ra-
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dices prædictarum amplitudinum, atque ſi tubus idem ſitu, modo recto </
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