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

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            rioribus diviſionibus in inferiores, ita ut minima aquæ pars in illis ſuperſit,
              <lb/>
            cum culmen attigerunt, ejus quantitatis quam in toto itinere receperunt.
              <lb/>
            </s>
            <s xml:id="echoid-s5207" xml:space="preserve">Videntur itaque vel ſolo hoc nomine iſtæ machinæ admodum improbandæ,
              <lb/>
            præſertim vero ſi aquæ limpidæ ſint elevandæ, quæ antliis hauriri poſſint.</s>
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          <p>
            <s xml:id="echoid-s5209" xml:space="preserve">(III.) </s>
            <s xml:id="echoid-s5210" xml:space="preserve">Solent quoque machinæ ejus eſſe indolis, ut aquam ultra altitu-
              <lb/>
            dinem propoſitam attollant: </s>
            <s xml:id="echoid-s5211" xml:space="preserve">Perditur autem potentia quæ exceſſui reſpon-
              <lb/>
            det, atque ſi aquæ trans molem ſunt evehendæ, difficulter id obtinetur,
              <lb/>
            quod indicavi §. </s>
            <s xml:id="echoid-s5212" xml:space="preserve">12.</s>
            <s xml:id="echoid-s5213" xml:space="preserve"/>
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            <s xml:id="echoid-s5214" xml:space="preserve">(IV.) </s>
            <s xml:id="echoid-s5215" xml:space="preserve">Sunt & </s>
            <s xml:id="echoid-s5216" xml:space="preserve">machinæ, quæ directam potentiæ moventis applicatio-
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            nem non admittunt, ex quâ obliquitate rurſus diſpendium aliquod oritur.</s>
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          <p>
            <s xml:id="echoid-s5218" xml:space="preserve">§. </s>
            <s xml:id="echoid-s5219" xml:space="preserve">27. </s>
            <s xml:id="echoid-s5220" xml:space="preserve">Iſtaque fere ſunt, quæ notabilis momenti mihi viſa fuerunt, ob-
              <lb/>
            ſtacula; </s>
            <s xml:id="echoid-s5221" xml:space="preserve">neſcio autem an illis in tantum obviam iri poſſit, quantum de pri-
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            mo machinarum genere demonſtravimus: </s>
            <s xml:id="echoid-s5222" xml:space="preserve">frictionum diminuendarum artifi-
              <lb/>
            cia quædam norunt mechanici: </s>
            <s xml:id="echoid-s5223" xml:space="preserve">machinas quæ ſitulis aquas hauriunt atque
              <lb/>
            elevant prætulerim roſariis: </s>
            <s xml:id="echoid-s5224" xml:space="preserve">ſitulæ autem ita ſint fabricatæ, ſi modo id fieri
              <lb/>
            poſſit, ut in ſitu infimo ſtatim impleantur nihilque emittant priusquam
              <lb/>
            ad ſitum ſupremum pervenerint. </s>
            <s xml:id="echoid-s5225" xml:space="preserve">Cum aqua transfundenda eſt trans locum
              <lb/>
            altiorem in alium minus altum, opera danda eſt, ut impetus aquæ labentis
              <lb/>
            promoveat motum tympani ſeu rotæ in gyrum agendæ, quamvis multum
              <lb/>
            abſit ut ſic omnis potentia abſoluta utiliter impendatur, prouti fieri antlia figu-
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            ræ 49. </s>
            <s xml:id="echoid-s5226" xml:space="preserve">indicavimus (§. </s>
            <s xml:id="echoid-s5227" xml:space="preserve">12.) </s>
            <s xml:id="echoid-s5228" xml:space="preserve">Principium actionis conſiſtet, ſi recte judicio,
              <lb/>
            aptiſſime in calcatura: </s>
            <s xml:id="echoid-s5229" xml:space="preserve">homines enim iſti labori maxime ſunt aſſueti; </s>
            <s xml:id="echoid-s5230" xml:space="preserve">perti-
              <lb/>
            net huc, quod monui §. </s>
            <s xml:id="echoid-s5231" xml:space="preserve">4. </s>
            <s xml:id="echoid-s5232" xml:space="preserve">occaſione regulæ primæ de angulo acclivitatis,
              <lb/>
            ſub quo viator dato tempore minima defatigatione certam attingere poſſit
              <lb/>
            altitudinem verticalem. </s>
            <s xml:id="echoid-s5233" xml:space="preserve">Crediderim hominem mediocris ſtaturæ, ſanum
              <lb/>
            & </s>
            <s xml:id="echoid-s5234" xml:space="preserve">robuſtum ſuper via ad 30. </s>
            <s xml:id="echoid-s5235" xml:space="preserve">gradus acclivi incedentem non dificulter ſin-
              <lb/>
            gulis horis 3600. </s>
            <s xml:id="echoid-s5236" xml:space="preserve">pedes confecturum, atque proinde ad altitudinem vertica-
              <lb/>
            lem 1800. </s>
            <s xml:id="echoid-s5237" xml:space="preserve">pedum pondus corporis ſui, quod ponam 144 librarum ſeu
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            duorum pedum cubicorum aquæ, elevaturum. </s>
            <s xml:id="echoid-s5238" xml:space="preserve">Talis igitur homo poterit ope
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            machinæ calcatura circumagendæ & </s>
            <s xml:id="echoid-s5239" xml:space="preserve">perfectiſſimæ (in qua ſcilicet nihil de
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            potentia abſoluta perdatur) ſingulis horis duos pedes cubicos aquæ ad altitu-
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            dinem verticalem 1800. </s>
            <s xml:id="echoid-s5240" xml:space="preserve">pedum elevare, ſeu quod idem eſt, ſingulis minutis
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            ſecundis unum ped. </s>
            <s xml:id="echoid-s5241" xml:space="preserve">cub. </s>
            <s xml:id="echoid-s5242" xml:space="preserve">ad alt. </s>
            <s xml:id="echoid-s5243" xml:space="preserve">unius pedis: </s>
            <s xml:id="echoid-s5244" xml:space="preserve">machinas quæ multo </s>
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