Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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95
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026/01/127.jpg
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Scholium.
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<
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<
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">Obſeruabis primò numerum inſtantium non poſſe à quoquam ſenſu
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percipi, nec in calculos vocari, vt patet; </
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<
s
id
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">vnde Theoremata non poſſunt
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ad praxim reduci defectu huius cognitionis; quam ſupra adhibui hypo
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theſeos loco. </
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</
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<
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<
s
id
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">Secundò non poteſt ad amuſſim tempus cum tempore componi ad
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æqualitatem, vel aliam datam rationem; </
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<
s
id
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N16E50
">licèt enim vnum tempus ſenſi
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bile haberet mille inſtantia ſupra aliud; </
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<
s
id
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">illa tamen inæqualitas ſenſu
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minimè perciperetur; idem dico de aliis rationibus, in quo, ni fallor,
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maximè peccant, qui temporum æqualitatem perfectam obſeruari poſſe
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contendunt. </
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</
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<
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<
s
id
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">Tertiò, idem dico de percuſſionum ratione; </
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<
s
id
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">quippe non poteſt ſenſu
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percipi inæqualitas duarum percuſſionum, licèt vires vnius præualeant
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mille punctis ſeu gradibus inſenſibilibus; </
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<
s
id
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">quippe non poteſt diſtingui
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ab alia niſi vel ex ſpatio; </
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>
<
s
id
="
N16E74
">atqui diſcerni non poteſt, an vnum ſpatium
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ſuperet aliud mille punctis; vel ex ſono; </
s
>
<
s
id
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N16E7A
">atqui ſonus poteſt diuidi in in
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finitos ferè gradus ſenſu minimè perceptibiles; </
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<
s
id
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">igitur nulla hypotheſis
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in his experimentis ſtatui poteſt, quibus æqualitas vel temporum, vel
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ſpatiorum cognoſci dicatur; </
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<
s
id
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N16E88
">nec dicas aliquot inſtantia parùm diſeri
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minis importare, nam cùm ſingulis inſtantibus fiat æqualis impetus ac
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ceſſio, mille inſtantia reddunt percuſſionem millecuplam grauitationis; </
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hinc certum eſt ex numero inſtantium cognito cognoſci tantùm poſſe
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numerum punctorum, & viciſſim; </
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>
<
s
id
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">at certè neuter ſenſu percipi poteſt; ne
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que tanti eſt hoc ſcire. </
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Theorema
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59.
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Hinc ſi corpus graue deſcenderet motu æquabili eoque æquali motui primi
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inſtantis; </
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<
s
id
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">certè vix modicum ſpatium post multos annos decurreret
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; </
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<
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id
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">ſuppo
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namus enim quod plures habent, licèt accuratè experimento ſubii
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ci non poſſit, ſcilicet vno ſecundo minuto temporis decurri à corpore
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graui deorſum 12. pedes ſpatij; </
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<
s
id
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">in ſecundo minuto ſupponamus eſſe
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mille inſtantia, quamuis infinita penè contineat; </
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>
<
s
id
="
N16ECC
">ſitque in primo in
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ſtanti motus vnus gradus impetus; </
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>
<
s
id
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N16ED2
">ſic enim vocetur illa pars impetus, que
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producitur primo inſtanti; </
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>
<
s
id
="
N16ED8
">certè poſt mille inſtantia motus, erunt mille
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gradus impetus; </
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>
<
s
id
="
N16EDE
">iam vcrò ſi accipiatur ſubduplum maximæ & minimæ
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velocitatis; </
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>
<
s
id
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">id eſt vnius gradus, & mille graduum, ſcilicet 500. 1/2 tri
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buaturque motui æquabili; </
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>
<
s
id
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N16EEA
">haud dubiè vno fecundo minuto percur
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rentur 12. pedes ſpatij per Th. 46. Igitur ſi cum velocitate vt 500, 1/2
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percurrentur 12. pedes 1.minuto, cum velocitate vt 1. percurrentur
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12. pedes 500.ſecundis minutis, &; 30. tertiis; </
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<
s
id
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">ſi verò accipiantur plura
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inſtantia, v.g. 1000000.inſtantia, percurrentur 12. pedes 500000. ſe
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cundis minutis; </
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<
s
id
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">ſi verò 1000000000000. percurremur 500000000000.
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ſecundis, id eſt 8333333333. minutis, id eſt 138888888. horis </
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