Bernoulli, Daniel
,
Hydrodynamica, sive De viribus et motibus fluidorum commentarii
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ra, non potui tamen hunc mihi ſcrupulum eximere, poſtquam cognovi vim
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tangentialem vi centripeta eſſe pene infinite majorem. </
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<
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xml:space
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">An non melius huic dif-
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ficultati occurritur, ſi duos ſuper eodem axe vortices ſtatuamus contrarios & </
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æqualis virtutis: </
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<
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xml:space
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">Videtur enim, phænomena naturæ plurima conciliari non
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poſſe cum vorticum hypotheſi, niſi ponamus duos plureſve vortices liberri-
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me ſub qualicunque directione ſe invicem trajicere poſſe: </
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<
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">vel ſola gravitatio
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communis omnium corporum cæleſtium verſus ſe invicem, quæ in dubium
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vocari nequit, ſatis oſtendit aut valedicendum eſſe hypotheſi vorticum, aut li-
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berrimam vorticum plurium in omnes plagas decusſationem ſtatuendam eſſe-
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Si igitur duo vortices æqualis virtutis contrarii ſuper eodemque axe fingerentur,
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tunc impetus contrarii deſtruerent vires utriuſque vorticis tangentiales; </
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<
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autem uterque vortex concurreret ad corpus verſus axem communem depri-
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mendum.</
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<
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">Altera accedit difficultas, quominus poſſit corporum gravitas
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peti ex effectu duorum vorticum contrariorum ſuper eodem axe motorum. </
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<
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">Ita
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enim corpora non verſus punctum commune aut quaſi punctum ſed verſus
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axem gravitarent, motuque ad eundem perpendiculari laberentur, quod cum
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deſcenſu corporum verticali & </
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">rotunditate vel quaſi rotunditate terræ corpo-
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rumque cœleſtium pugnat.</
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<
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">Huic alteri quoque difficultati occurretur, ſi fingantur duo axes ad ſe
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invicem perpendiculares aut proxime tales, circa quorum utrumque duo vor-
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tices contrarii æqualis virtutis circumagantur. </
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<
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xml:space
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">Namque vis compoſita omnium
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vorticum ita intelligi poteſt comparata, ut corpus detrudat proxime verſus pun-
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ctum, quo ambo axes ſe invicem interſecant; </
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<
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quantum compreſſa verſus planum per ambos axes tranſiens. </
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<
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huic incommodo, ſi modo incommodum ſit, obviam iri, multiplicando ad-
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modum vorticum numerum: </
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<
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">nam ſi vel infiniti fere ſtatuantur vortices, pote-
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runt omnes eadem facilitate ſe trajicere, ac radii luminis, qui ſe minime im-
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pediunt.</
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<
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">Volui iſta hic adjicere in gratiam eorum, qui vorticibus delectantur,
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ut videant, an motus iſte facilius concipi poſſit eo, quem Hugenius finxit:
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</
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<
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">utroque enim phænomena naturæ æqualiter explicari poſſunt. </
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<
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tiam paullo accuratius expoſui in diſſertatione, quam Academia Reg. </
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præmio a. </
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<
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