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

Table of figures

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            non differt â priori niſi in eo, quod in ima parte cylindro A B C tubus hori-
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            zontalis M D inſertus ſit perforatus lumine D, per quod aquæ verticaliter exi-
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            liunt: </s>
            <s xml:id="echoid-s4237" xml:space="preserve">Diaphragma vero E F in medio perforatum eſt lumine G ut antea: </s>
            <s xml:id="echoid-s4238" xml:space="preserve">in-
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            fra illud parvulum erat foramen K, ut facilius cavitas inferior aquis impleri poſ-
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            ſet, quo facto idem obturabatur, reliquumque vaſis replebatur.</s>
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            <s xml:id="echoid-s4240" xml:space="preserve">His ita præparatis, effluentibusque aquis per D, obſervavit Mariottus,
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            mox illas aſcendiſſe uſque in I, deinde ſenſim imminuta velocitate uſque in
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            N & </s>
            <s xml:id="echoid-s4241" xml:space="preserve">tandem, imminente depletione tota cavitatis ſuperioris, A B F E uſque
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            in O, tuncque aſſumtis confeſtim novis viribus aſſiliviſſe fere uſque in F. </s>
            <s xml:id="echoid-s4242" xml:space="preserve">Animad-
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            vertit etiam, ſi bene memini, altitudinem jactus initialis eo minorem eſſe, quo mi-
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            nus ſit foramen G, ratione alterius D. </s>
            <s xml:id="echoid-s4243" xml:space="preserve">Videatur ejus tract. </s>
            <s xml:id="echoid-s4244" xml:space="preserve">de motu aquarum part. </s>
            <s xml:id="echoid-s4245" xml:space="preserve">IV.
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            <s xml:id="echoid-s4246" xml:space="preserve">diſc. </s>
            <s xml:id="echoid-s4247" xml:space="preserve">1. </s>
            <s xml:id="echoid-s4248" xml:space="preserve">Putat autem horum motuum mutationes explicari poſſe fingendo vaſi
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            A B F E ampliſſimo tubum ſtrictiorem adhærere G L M D, per quem aquæ fluant. </s>
            <s xml:id="echoid-s4249" xml:space="preserve">
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            At vero demonſtravimus & </s>
            <s xml:id="echoid-s4250" xml:space="preserve">experientia quotidie docet, motum aquarum ex
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            vaſe A B G L M D admodum diverſum eſſe ab eo, qui modo indicatus fuit. </s>
            <s xml:id="echoid-s4251" xml:space="preserve">
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            Non minus falleretur ſi quis putaret aquam eadem velocitate exilire per fora-
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            men D, quaſi illud in diaphragmate E F poſitum eſſet, nam fieri poteſt, ut
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            altitudo jactus initialis ſit major & </s>
            <s xml:id="echoid-s4252" xml:space="preserve">minor altitudine F B. </s>
            <s xml:id="echoid-s4253" xml:space="preserve">Nec denique ea effluent
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            aquæ quantitate, uti facile quis ſuſpicari poſſet, qua eodem tempore effluerent
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            ex vaſe ſuperiori ſimplici reſciſſa parte E F D C quamvis ita proxime ſe res ha-
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            beat, cum foramen G admodum minus eſt foramine D.</s>
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            <s xml:id="echoid-s4255" xml:space="preserve">§. </s>
            <s xml:id="echoid-s4256" xml:space="preserve">9. </s>
            <s xml:id="echoid-s4257" xml:space="preserve">Noſtra vero æquatio, nempe v = {mmx/nn + mm}, recte omnino
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            reſpondet phænomenis: </s>
            <s xml:id="echoid-s4258" xml:space="preserve">indicat enim aquam mox ab initio fluxus ad certam aſ-
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            cendere altitudinem, eamque tanto minorem, quanto minus eſt foramen
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            diaphragmatis p@æ foramine altero; </s>
            <s xml:id="echoid-s4259" xml:space="preserve">dein iſtum aſcenſum ſenſim diminui, do-
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            nec aqua omnis ex cavitate ſuperiori effluxerit, quo ipſo momento protinus
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            augmentum capit, totamque aquæ ſuperincumbentis altitudinem tantum non
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            attingit, quia tunc ex vaſe ſimplici eoque infinite amplo effluere cenſendæ ſunt
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            aquæ: </s>
            <s xml:id="echoid-s4260" xml:space="preserve">pauliſper tamen etiamnum retardantur aquæ à tranſitu aëris per fora-
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            men G, & </s>
            <s xml:id="echoid-s4261" xml:space="preserve">ſane notabiliter retardantur, cum foramen ſuperius valde parvum
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            eſt, de quo argumento mox quædam dicemus, cum de fluidis heterogeneis
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            ſermo erit. </s>
            <s xml:id="echoid-s4262" xml:space="preserve">Si figura Mariotti debita proportione reſpondeat argumento in-
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            ſtituto, oportet, ut foramen G alterius fecerit paullo pluſqnam dimidium.</s>
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