Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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444
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<
s
id
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N2AB04
">Secundum & tertium hoc principio nituntur, motus impreſſi diuerſis
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corporibus ab eadem potentia æquali tempore ſunt vt corpora permu
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tando v.g.motus impreſſus corpori vnius libræ eſt ad motum impreſſum
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corpori quatuor librarum vt 4.ad 1.æquali ſcilicet tempore quod clarum
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eſt, igitur graue 4.librarum decurrit tantùm quartam partem arcus, igitur
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ſecundo tempore æquali decurrit tres alias partes, vide quę diximus l.10. </
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<
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N2AB13
">Quartum nititur hoc principio ſpatia ſunt quadrata temporum, ve
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locitates ſunt vt tempora, ictus vt velocitates. </
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<
s
id
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N2AB1A
">Quintum, ſextum, ſeptimum habent hoc commune principium: </
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<
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id
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N2AB1E
">eadem
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eſt proportio effectuum quæ cauſarum; </
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s
id
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N2AB24
">quippe cauſa quæ aquam excu
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dit eſt pondus ſuperimpoſitum, igitur cum imprimat motum pluribus
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partibus, velociorem imprimit ſingulis, igitur ex duplici capite creſcit
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effectus, ſcilicet ex maiore
<
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abbr
="
quãtitate
">quantitate</
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aquæ & ex velociore motu; ſit enim
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v.g.maior tubus quadruplus alterius cauſa eſt quadrupla, igitur duplam
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quantitatem aquæ extrudet æquali tempore, quia duplo velociore motu. </
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nam extrudere æqualem quantitatem duplo velociore motu eſt effectus
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duplus; igitur duplam quantitatem extrudere duplo velociore motu eſt
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effectus quadruplus, igitur eſt eadem proportio cauſę quæ effectus. </
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<
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id
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N2AB3F
">De ſi
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phone idem dictum eſto, præſtat enim
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abbr
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eũdem
">eundem</
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effectum trahendo, quem
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tubus aquæ pellendo, denique vnica vibratio chordæ tenſæ duplo velo
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cior eſt effectus duplus, igitur duæ duplo velociores effectus quadruplus. </
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<
s
id
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">Octauum habet idem principium, nam chordæ eiuſdem longitudinis
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ſunt vt baſes, ſit vna quadrupla alterius v. g. appendatur vtrique æquale
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pondus, tenſio maioris eſt ſubquadrupla; </
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<
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id
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N2AB5A
">igitur ſi huic appendatur pon
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dus quadruplum ſonum edet duplo acutiorem; igitur baſes ſunt vt qua
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drata ſonorum. </
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<
s
id
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">Nonum, & decimum nituntur hoc principio, lumen minus eſt in ea
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proportione in qua plus diſtrahitur; igitur lumina ſunt vt baſes permu
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tando, ſed baſes ſunt in ratione duplicata diſtantiarum, idem dico de ſono. </
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<
s
id
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">Duodecimum denique idem principium habet cum ſeptimo: </
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<
s
id
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N2AB72
">vis enim
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illa ſeu niſus quo adducitur arteria æquiualet ponderi; ſed de his ſatis. </
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Schol. quod pertinet ad reflexionem.
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<
s
id
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">Obſeruaſti in Th.8.l.6.quoſdam noluiſſe impetum in reflexione pro
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duci propter compreſſionem, vel corporis reflexi, vel reflectentis, vel
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vtriuſque, quod certè fieri non poteſt, alioquin ſit globus reflexus; </
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<
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id
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N2AB91
">certè
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comprimitur neceſſariò à puncto contactus verſus centrum quod certum
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eſt; </
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<
s
id
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N2AB99
">igitur redit neceſſariò per lineam ductam à puncto contactus per
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idem centrum quod falſum eſt vt patet; igitur eſt alia cauſa huius motus
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ſcilicet præuius impetus. </
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id
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<
s
id
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">Quidam etiam volunt hunc impetum produci ab ipſo corpore re
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flectente quod tamen abſurdum eſt, alioquin per
<
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abbr
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eãdem
">eandem</
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>
lineam ductam
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à puncto contactus per centrum globi fieret reflexio, ſic enim globus
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tantùm impelli poteſt, vt demonſtratum eſt lib.1. ſed de his fatis. </
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