Newton, Isaac
,
Philosophia naturalis principia mathematica
,
1713
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nihil: ſubducantur aliæ partes duæ, & fiet motus duarum partium
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in plagam contrariam: & ſic de motu corporis
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B
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partium ſex ſub
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ducendo partes quatuordecim, fient partes octo in plagam contra
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riam. </
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>Quod ſi corpora ibant ad eandam plagam,
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A
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velocius cum
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partibus quatuordecim, &
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B
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tardius cum partibus quinque, & poſt
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reflexionem pergebat
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A
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cum quinque partibus; pergebat
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B
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cum qua
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tuordecim, facta tranſlatione partium novem de
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A
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in
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B.
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Et ſic
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in reliquis. </
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>A congreſſu & colliſione corporum nunquam muta
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batur quantitas motus, quæ ex ſumma motuum conſpirantium &
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differentia contrariorum colligebatur. </
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>Nam errorem digiti unius
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& alterius in menſuris tribuerim difficultati peragendi ſingula
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ſatis accurate. </
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>Difficile erat, tum pendula ſimul demittere fic, ut
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corpora in ſe mutuo impingerent in loco infimo
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AB
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; tum loca
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s,
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k
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notare, ad quæ corpora aſcendebant poſt concurſum. </
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<
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>Sed & in
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ipſis pilis inæqualis partium denſitas, & textura aliis de cauſis irre
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gularis, errores inducebant. </
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LEGES
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MOTUS</
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>Porro nequis objiciat Regulam, ad quam probandam inventum
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eſt hoc experimentum, præſupponere corpora vel abſolute dura
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eſſe, vel ſaltem perfecte elaſtica, cujuſmodi nulla reperiuntur in
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compoſitionibus naturalibus; addo quod Experimenta jam deſcrip
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ta ſuccedunt in corporibus mollibus æque ac in duris, nimirum a
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conditione duritiei neutiquam pendentia. </
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>Nam ſi Regula illa in
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corporibus non perfecte duris tentanda eſt, debebit ſolummodo
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reflexio minui in certa proportione pro quantitate vis Elaſticæ. </
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<
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>In
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Theoria
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Wrenni
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&
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Hugenii
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corpora abſolute dura redeunt ab invi
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cem cum velocitate congreſſus. </
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>Certius id affirmabitur de perfecte
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Elaſticis. </
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>In imperfecte Elaſticis velocitas reditus minuenda eſt ſi
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mul cum vi Elaſtica; propterea quod vis illa; (niſi ubi partes cor
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porum ex congreſſu læduntur, vel extenſionem aliqualem quaſi ſub
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malleo patiuntur,) certa ac determinata ſit (quantum ſentio) faci
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atque corpora redire ab invicem cum velocitate relativa, quæ ſit ad
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relativam velocitatem concurſus in data ratione. </
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<
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>Id in pilis ex lana
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arcte conglomerata & fortiter conſtricta ſic tentavi. </
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>Primum demit
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tendo Pendula & menſurando reflexionem, inveni quantitatem vis
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Elaſticæ; deinde per hanc vim determinavi reflexiones in aliis ca
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ſibus concurſuum, & reſpondebant Experimenta. </
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<
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>Redibant ſemper
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pilæ ab invicem cum velocitate relativa, quæ eſſet ad velocitatem
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relativam concurſus ut 5 ad 9 circiter. </
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<
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>Eadem fere cum velocitate
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redibant pilæ ex chalybe: aliæ ex ſubere cum paulo minore: in vi
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treis autem proportio erat 15 ad 16 circiter. </
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<
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>Atque hoc pacto Lex
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tertia quoad ictus & reflexiones per Theoriam comprobata eſt, quæ
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cum experientia plane congruit. </
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