Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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A & B, & A feratur per lineam DE, & B per lineam ED, punctum con
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tactus ſit C, haud dubiè globus A impactus in B amittit totum ſuum im
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petum per Th.127. & 128. B, item impactus in A amittit totum ſuum per
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eandem rationem; </
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<
s
id
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N153A5
">globus A producit impetum in B æqualem ſuo per
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Th.60. item B producit in A æqualem per idem Th. igitur tantùm perit
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impetus quantùm accedit; </
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<
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id
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N153AD
">igitur in vtroque globo remanet æqualis im
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petus priori; igitur æquali motu vterque mouetur, quod erat dem. </
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<
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N153B3
">& hæc
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eſt ratio veriſſima toties probatæ experientiæ. </
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Theorema
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136.
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Hinc æquale ſpatium conficiet regrediendo poſt reflexionem, quem confeciſ
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ſet motu directo, ſi propagatus fuiſſet ſine obice
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; </
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<
s
id
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N153D3
">nam æquali motu æquali
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tempore in eodem plano ſeu medio idem ſpatium decurritur; quid verò
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accidat in aliis punctis contactus dicemus infrà, cum de reflexione. </
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Theorema
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137.
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Si in eodem mobili duplex impetus producatur, quorum vterque ſeorſim
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ad duas lineas ſit determinatus quæ conjunctæ faciant angulum, determinatur
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vterque ad tertiam lineam mediam
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; </
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<
s
id
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">ſit enim mobile in A. v. g. globus,
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cui ſimul imprimatur impetus determinatus ad lineam AD, in plano
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horizontali AF; </
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<
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">ſi vterque ſit æqualis, ad nouam lineam determinabi
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tur AE; </
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<
s
id
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N1540A
">quippe tantùm debet acquirere in horizontali AB, vel in eius
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parallela DE, quantum acquirit in alia horizontali AD, vel in eius pa
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rallela BE; </
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>
<
s
id
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N15412
">igitur debet ferri in E; </
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>
<
s
id
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N15416
">igitur per diagonalem AE; </
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>
<
s
id
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N1541A
">clara eſt
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omninò experientia; </
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>
<
s
id
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N15420
">cuius ratio à priori hæc eſt, quòd ſcilicet impetus
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poſſit determinari ad quamlibet lineam ab alio impetu per Th.118.119.
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igitur in eodem mobili pro rata quilibet alium determinat; </
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>
<
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id
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">igitur ſi
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vterque æqualis eſt, vterque æqualiter; igitur debet tantum ſpatij acqui
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ri in linea vnius, quantum in linea alterius. </
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<
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">Si verò impetus per AC ſit duplus impetus per AD; </
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<
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id
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">accipiatur AC
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dupla AD, ducatur DF æqualis & parallela AC; </
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<
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id
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">linea motus noua
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erit diagonalis AF, quia vtraque determinatio concurrit ad nouam pro
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rata; igitur debet ſpatium acquiſitum in AC eſſe duplum acquiſiti
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in AD. </
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Theorema
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emph.end
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138.
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<
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Si ſit duplex impetus in eodem mobili ad
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eãdem
">eandem</
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lineam determinatus, non
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mutabitur linea; </
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<
s
id
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">ſed creſcet motus & ſpatium
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Imprimatur impetus in A,
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per AB, quo dato tempore percurratur ſpatium AB; </
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<
s
id
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">deinde produca
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tur ſimul alius impetus æqualis priori in eodem mobili per lineam AB; </
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Dico quod eodem tempore percurretur tota AE, dupla ſcilicet AB; </
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<
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quia ſcilicet dupla cauſa non impedita duplum effectum habet per Ax.
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13. num.1. duplus impetus duplum motum; igitur duplum ſpatium; ſi
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verò ſit triplus impetus, triplum erit ſpatium, &c. </
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Theorema
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139.
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Si lineæ duplicis impetus, faciunt angulum acutiorem, longius erit ſpatium
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