Bernoulli, Daniel
,
Hydrodynamica, sive De viribus et motibus fluidorum commentarii
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plana totas excipiant, non autem de fluidis corpora ambientibus in eademque
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impetum facientibus, veluti de Ventis aut fluminibus: </
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<
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">dico enim hos dupli-
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cis generis impetus quos auctores adhuc confuderunt, probe à ſe invicem di-
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ſtinguendos eſſe, ob rationes infra breviter exponendas.</
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<
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<
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">Ratione venæ aqueæ ſic cenſeo: </
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<
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xml:space
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">aquas velocitate uniformi ex
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cylindro infinite amplo verticali A B M (Fig. </
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<
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">84.) </
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<
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">per foramen laterale C M
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">Fig. 84.</
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horizontaliter effluere pono, venamque perpendiculariter impingere in lami-
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nam E F: </
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<
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">ita facile video, quia particulæ inſequentes priores impediunt ne
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reſilire poſſint, fore ut ſingulæ ad latera deflectantur, idque motu laminæ E F
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(ſi modo hæc ſat magna fuerit, ut vena tota quamvis diſperſa excipiatur) pa-
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rallelo vel tantum non tali: </
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<
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">Et quia omnia ſunt in ſtatu permanentiæ, fingere
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licet laminam E F vaſi eſſe affirmatam, venamque lateribus C H D G L M
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circumdatam, ita, ut aquæ per hiatum circularem D E G F effluere ex vaſe
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A B C H D E F G L M cenſeri poſſint. </
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<
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">Hoc ſi ita fuerit, demonſtravimus
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§. </
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<
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<
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">guttulas in D E effluentes vim repellentem quidem producere ſecun-
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dum E F; </
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<
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">ſed ſimul apparet vim repellentem eſſe in G F priori contrariam
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ita ut ad hanc virium repellentium claſſem hic non ſit attendendum. </
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<
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xml:space
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">Quod
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vero ad directionem, laminæ E F vel cylindro B C, perpendicularem atti-
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net, demonſtravimus in fine ejuſdem §. </
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<
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">ſub ea directione plane nullam
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fieri repulſionem: </
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">Igitur tantum lamina E F propellitur, quantum cylindrus
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repellitur. </
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<
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">Idque eſt quod demonſtrare volui: </
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<
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">Atque inde jam ſequitur, preſ-
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ſionem venæ aqueæ, quæ tota in laminam incurrit, tantam eſſe quanta pon-
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dus cylindri aquei, qui pro baſe habeat ſectionem venæ (poſtquam hæc unifor-
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mem acquiſivit amplitudinem) & </
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<
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">pro altitudine duplam altitudinem velocita-
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ti aquarum (poſtquam hæc ſimiliter uniformis facta eſt) debitam.</
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<
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">Non dubito multos fore, quibus propoſitio hæc plane nova
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ſuſpecta videatur atque experimentis contraria: </
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<
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xml:space
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">Hos vero perpendere velim,
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experimenta hactenus ſumta nequaquam regulæ communi accurate reſponde-
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re, & </
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<
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">in pleriſque caſibus noſtram Regulam parum differre à communi, quam-
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vis in theoria maxime ſint diverſæ: </
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<
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">tum etiam eos in anteceſſum monitos cu-
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pio, alia me inſtituiſſe experimenta, quæ ſingula meam ſententiam exactiſſime
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confirmant, veteremque plane refellunt! experimenta a me ſumpta in fine Se-
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ctionis recenſebo. </
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