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

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            quilibrium commune fluidorum ſtagnantium, aut etiam corporum cum flui-
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            dis, quibus inſident, de quibus Archimedes ſcripſit, intelligebant; </s>
            <s xml:id="echoid-s41" xml:space="preserve">& </s>
            <s xml:id="echoid-s42" xml:space="preserve">cum
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            præterea per ſe pateat, ubi æquilibrium non eſt, motum verſus partem mi-
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            noris preſſionis fieri, varios luſus, machinaſque hydraulicas hinc excogitare
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            potuerunt, partim oblectationi, partim publicis commodis egregie inſervi-
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            entes, qua quidem in re peringenioſos ſe monſtrarunt; </s>
            <s xml:id="echoid-s43" xml:space="preserve">videbant etiam, ſed
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            quaſi per tranſennam motus illos, qui preſſioni aëris debentur: </s>
            <s xml:id="echoid-s44" xml:space="preserve">Veras autem
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            rationes accuratasque menſuras in Hydraulicis rebus plane ignorabant, atque
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            ſic fere in limine ſubſiſtebant.</s>
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            <s xml:id="echoid-s46" xml:space="preserve">§. </s>
            <s xml:id="echoid-s47" xml:space="preserve">2. </s>
            <s xml:id="echoid-s48" xml:space="preserve">Motui fluidorum determinando inſervit præcipue effluxus aquæ
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            ex vaſe per foramen valde parvum: </s>
            <s xml:id="echoid-s49" xml:space="preserve">tametſi vero non omnino fugeret Fron-
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            tinum alioſque, uti aliqui credunt, velocitatem aquarum ex vaſe vel caſtello
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            effluentium creſcere ab aucta altitudine aquæ ſupra effluxus locum, negari
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            tamen non poteſt, quin idem Frontinus in computandis aquarum modulis,
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            ſeu erogandis aquis turpes & </s>
            <s xml:id="echoid-s50" xml:space="preserve">injuſtos commiſerit errores. </s>
            <s xml:id="echoid-s51" xml:space="preserve">Benedictus Caſtel-
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            lius primus de nexu velocitates inter & </s>
            <s xml:id="echoid-s52" xml:space="preserve">altitudines cogitare, falſam autem
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            legem ſuſpicatus eſt, putans, ambas eandem rationem ſequi. </s>
            <s xml:id="echoid-s53" xml:space="preserve">Poſt hunc de-
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            @um Torricellius obſervavit, velocitates creſcere in ſubduplicatâ ratione alti-
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            tudinum, quem ſecuti ſunt omnes; </s>
            <s xml:id="echoid-s54" xml:space="preserve">nec dum vero conveniebant de abſoluta
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            velocitatis menſura, experimenta tamen inſtituerunt, qua iſtam menſuram
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            definiri exiſtimarunt, inter quæ potiſſimum allegari ſolet illud, quod a Gulielmino
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            ſumtum, octieſque repetitum fuit, quamvis id ab aliis experimentis ex illo tempore
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            factis admodum recedat: </s>
            <s xml:id="echoid-s55" xml:space="preserve">ſolent autem omnia inter ſe differre, quæ ſub diver-
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            ſis fiunt circumſtantiis, nec ſemper tutum eſt, uti ſuo loco dicemus plu-
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            ribus, ex quantitate aquæ, definito tempore per definitum lumen effluentis, ju-
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            dicium ferre de ejuſdem velocitate. </s>
            <s xml:id="echoid-s56" xml:space="preserve">Sic cum ad calculum revocamus expe-
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            rimentum Gulielminianum, cujus modo mentionem fecimus, concludendum
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            eſſet ex quantitate aquæ, quæ per lumen datum tempore dato effluxit, ve-
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            locitatem ejus non majorem fuiſſe illa, quæ debetur quartæ parti altitudinis
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            ſuperficiei aqueæ ſupra foramen. </s>
            <s xml:id="echoid-s57" xml:space="preserve">Et alia ſunt eodem Auctore experimenta,
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            quæ recenſentur Lib. </s>
            <s xml:id="echoid-s58" xml:space="preserve">2. </s>
            <s xml:id="echoid-s59" xml:space="preserve">prop. </s>
            <s xml:id="echoid-s60" xml:space="preserve">1. </s>
            <s xml:id="echoid-s61" xml:space="preserve">menſ. </s>
            <s xml:id="echoid-s62" xml:space="preserve">aquarum fluent: </s>
            <s xml:id="echoid-s63" xml:space="preserve">vi quorum aqua ef-
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            fluens velocitate ſua aſcendere poſſit ad duas tertias iſtius altitudinis; </s>
            <s xml:id="echoid-s64" xml:space="preserve">Apud
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            Mariottum alioſque extant, quæ pro dimidia altitudine faciunt; </s>
            <s xml:id="echoid-s65" xml:space="preserve">qua non ob-
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            ſtante velocitatum ita æſtimatarum diverſitate, mihi perſuadeo, vix a ſe </s>
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