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

Table of figures

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            verſimode formatis ejectas alias aliis altius aſſurgere: </s>
            <s xml:id="echoid-s5134" xml:space="preserve">Ergo hic attendendum eſt
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            ad ultimorum tubulorum aquas emittentium (des ajutages) conformationem
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            aptiſſimam.</s>
            <s xml:id="echoid-s5135" xml:space="preserve"/>
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            <s xml:id="echoid-s5136" xml:space="preserve">Hâc de re experimenta inſtituit D. </s>
            <s xml:id="echoid-s5137" xml:space="preserve">Mariotte in tract. </s>
            <s xml:id="echoid-s5138" xml:space="preserve">de mot. </s>
            <s xml:id="echoid-s5139" xml:space="preserve">aquar.</s>
            <s xml:id="echoid-s5140" xml:space="preserve"/>
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        <div xml:id="echoid-div211" type="section" level="1" n="165">
          <head xml:id="echoid-head212" xml:space="preserve">Scholium Generale.</head>
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            <s xml:id="echoid-s5141" xml:space="preserve">§. </s>
            <s xml:id="echoid-s5142" xml:space="preserve">21. </s>
            <s xml:id="echoid-s5143" xml:space="preserve">Examinavimus adhuc impedimenta, quæ caſu ſuperveniunt in
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            machinis hydraulicis aquas cum impetu ejicientibus: </s>
            <s xml:id="echoid-s5144" xml:space="preserve">Præcipua illa eſſe puto,
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            quæ expoſui; </s>
            <s xml:id="echoid-s5145" xml:space="preserve">poterunt tamen alia inſuper excogitari, ſed, ut credo, mino-
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            ris admodum momenti. </s>
            <s xml:id="echoid-s5146" xml:space="preserve">Ubique fere menſuras dedimus omnino geometricas
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            ſimulque modum indicavimus, quo iiſdem impedimentis maximâ ex parte
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            obviam iri poſſit. </s>
            <s xml:id="echoid-s5147" xml:space="preserve">Qui majoribus intendit, putans poſſe minimo labore ſeu
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            (quod eodem recidere demonſtravi § 3.) </s>
            <s xml:id="echoid-s5148" xml:space="preserve">minima potentia abſoluta quemvis ef-
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            fectum in elevandis aquis deſideratum præſtari, opinione fallitur, atque oleum
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            & </s>
            <s xml:id="echoid-s5149" xml:space="preserve">operam perdet. </s>
            <s xml:id="echoid-s5150" xml:space="preserve">Si enim ab impedimentis iſtis expoſitis aliiſve ſimilibus for-
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            taſſe excogitandis animum abſtrahas, machina in rerum natura perfectiſſima
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            erit ſimplex antlia figuræ quadrageſimæ quintæ, atque ſi aquæ ejus ope in al-
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            tum projectæ colligantur in G, dico fieri non potuiſſe ut minori labore eadem
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            aquarum quantitas ad eandem altitudinem F G elevarentur.</s>
            <s xml:id="echoid-s5151" xml:space="preserve"/>
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            <s xml:id="echoid-s5152" xml:space="preserve">Eſt deinde aliud machinarum genus, quod à machinationibus adhuc
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            pertractatis differt in eo, quod hæ aquas cum impetu ejiciant, illæ placide ſi-
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            ne motu notabili transferant. </s>
            <s xml:id="echoid-s5153" xml:space="preserve">Sed & </s>
            <s xml:id="echoid-s5154" xml:space="preserve">in his ultimus perfectionis qui dari poteſt
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            gradus eodem recidit. </s>
            <s xml:id="echoid-s5155" xml:space="preserve">Sunt autem pleræque multis obſtaculis iiſque maximi
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            momenti obnoxiæ. </s>
            <s xml:id="echoid-s5156" xml:space="preserve">De his igitur nunc directe nobis erit agendum.</s>
            <s xml:id="echoid-s5157" xml:space="preserve"/>
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        <div xml:id="echoid-div212" type="section" level="1" n="166">
          <head xml:id="echoid-head213" style="it" xml:space="preserve">(B) De machinis hydraulicis aquas ſine not abili impetu ex loco humiliori in
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          altiorem tranſportantibus.</head>
          <head xml:id="echoid-head214" xml:space="preserve">Regula 10.</head>
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            <s xml:id="echoid-s5158" xml:space="preserve">§. </s>
            <s xml:id="echoid-s5159" xml:space="preserve">22. </s>
            <s xml:id="echoid-s5160" xml:space="preserve">Si pondus aliquod per datam altitudinem verticalem (a) potentia
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            movente utcunque variabili ſed directe applicata elevetur nulluſque motus in
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            fummitate altitudinis propoſitæ corpori ſuperſit, conſtanter erit eadem potentia
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            abſoluta in elevationem ponderis impenſa, nempe æqualis producto ex ponde-
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            re corporis elevati & </s>
            <s xml:id="echoid-s5161" xml:space="preserve">altitudine elevationis a.</s>
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