Gravesande, Willem Jacob 's
,
Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1
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MATHEMATICA. LIB. I. CAP XXIII.
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x aa; </
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<
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x
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x rr/
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x bb +
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x aa} vim
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amiſſam data velocitate reſpectivar.</
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<
s
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xml:space
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xml:space
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locitatibus quibuſcunque in ſe mutuo incurrant directè, poſt ictum ambo eâ-
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dem velocitate feruntur , & </
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circa centra diverſa H & </
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ictum ante ſeparationem ſeruntur, & </
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<
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">Reſpectu hujus puncti corpora poſt impactionem quieſcunt; </
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ipſius anteictum contrariis velocitatibus movebantur in ratione
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x aa ad
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x bb , haſque velocitates amittunt, cum reſpectu
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poſt ictum quieſcant, quare hæ ipſæ velocitates ſunt mutationes, quæ ex ictu
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in velocitatibus contingunt, quæ ergo mutationes ſunt in memoratà ratione;
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x bb +
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x aa ad
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x bb
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ut ſumma mutationum, id eſt velocitas reſpectiva, ad mutationem in veloci-
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tate corporis B.</
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hac minori; </
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dirigantur, & </
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{
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x bbp -
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x bbq/
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x bb +
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x aa} quæ mutatio eſt velocitas
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acquiſita; </
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<
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addatur ipſi velocitati q habemus velocitatem amborum corporum
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poſt ictum; </
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<
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x bbp +
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x aaq/
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x bb +
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x aa}.
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</
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<
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velocitas poſt ictum ſimili ratiocinio detegitur
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{
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x aaq/
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x aa} ſubtracto nempe in nu-
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meratore producto minore ex majore.</
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<
s
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juguntur, ad eandem partem dentur centri circa quod linea movetur, an ad
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partes diverſas, nam eodem niodo corpus movetur, à quacunque parte centri
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detur, ſimodo diſtantia ab hoc ſit eadem, vim etiam centrifugam, qua corpora
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a centro recedere conantur, & </
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la exerunt, non hîc conſiderari debere, ſatis manifeſtum eſt .</
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<
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niverſales regulæ ex demonſtratis quam facillime illiciuntur.</
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<
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currat quod cum aliis lineæ rectæ, circa centrum mobili, cohæret; </
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lud in linea recta motum agit quaſi lineæ rectæ, circa punctum quodcunque
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mobili, adhæreret.</
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