Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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reſiſtentia autem conſideratur in globo impacto, cuius reſiſtitur motui; </
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ceſſio verò in alio, qui motui cedit; </
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<
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tiam cui nulla reſpondet ceſſio; </
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<
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">nihil enim aliud præſtaret infinita; </
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<
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rò cum nulla eſt ceſſio, determinatio noua eſt dupla prioris, vt demon
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ſtratum eſt ſuprà; </
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<
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">igitur nihil prioris remanet; </
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<
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ſtentia, tota prior remanet, & nulla eſt noua: </
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<
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">denique cum ceſſio æqua
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lis eſt reſiſtentiæ, tantùm remanet prioris quantùm eſt nouæ; </
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<
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">igitur
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vtraque æqualis eſt: Vnde vides, ni fallor, perfectam analogiam, &c. </
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<
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">Ob
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ſeruaſti ni fallor, quod in hac re potiſſimum eſt. </
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<
s
id
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">Primò, tunc eſſe infini
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tam reſiſtentiam, cum nulla eſt ceſſio: vt in corpore reflectente prorſus
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immobili. </
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<
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">Secundò, tunc eſſe infinitam ceſſionem, cum nulla eſt reſi
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ſtentia vt in vacuo. </
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<
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">Tertiò, æqualitatem ceſſionis, & reſiſtentiæ æquali
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ter ab vtroque diſtare; tantùm enim eſt inter æqualitatem illam, & in
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finitam ceſſionem quantum inter eandem æqualitatem, & infinitam re
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ſiſtentiam. </
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<
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">Quartò ab infinita ceſſione ad æqualitatem accedere nouam
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determinationem æqualem priori. </
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<
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">Quintò, ab eadem æqualitate ad in
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finitam reſiſtentiam
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accedere, ac proinde nouam determi
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nationem eſſe duplam prioris; ex quo etiam probatur æqualitas angulo
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rum incidentiæ, & reflexionis. </
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Theorema
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67.
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Si globus maior impingatur in minorem per lineam obliquam ſemper re
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flectitur, licèt aliquando inſenſibiliter, quia fit determinatio mixta ex noua &
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priore, cuius proportio determinari poteſt
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; ſit enim determinatio noua ad
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priorem in linea incidentiæ perpendiculari vt C
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ad CA fig. </
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<
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vel vt AZ ad AF, ſit linea incidentiæ obliqua EA producta in B; </
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certè ſi determinatio noua per lineam incidentiæ obliquam EA eſt ad
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priorem, vt AZ ad AF; </
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<
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æqualis AY; </
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<
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A
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dico A
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eſſe lineam reflexionis, quia eſt mixta ex AY & AB, vt con
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ſtat ex dictis; Idem dico de aliis incidentiæ. </
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Theorema
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68.
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Si globus in æqualem globum impingatur, qui æquali impetu in eum etiam
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impingitur per lineam connectentem centra
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; </
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<
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pœnitus motu, quo ſuam lineam vlteriùs propagaſſet, ſi in alterum glo
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bum non incidiſſet per Th.137.lib.1.ſi autem inæquali impetu mouean
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tur, non eſt determinatum ſuprà; poteſt autem ſit determinari, fig. </
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<
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Tab.1.ſit globus A impactus in alium B motu vt 4. eodem tempore, quo
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globus B impingitur in A motu vt 2. certè globus B retrò agetur motu vt
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4. quippè ſiue moueatur æquali motu, ſiue minori, ſiue etiam quieſcat,
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ſemper æquali motu à globo A impelletur; quod certè mirabile eſt; pri
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mum conſtat per Th. 135.lib. tertium conſtat per Theor.128.lib.1. </
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<
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tur ſecundum conſtat, ſi enim impellitur motu vt 4.dum in contrariam
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partem mouetur vt 4. multò magis ſi tantùm mouetur vt 2. & ſi tantùm
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impellitur motu vt 4. dum quieſcit multò magis motu vt 4. dum in </
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