Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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tu naturaliter accelerato vt 4. ad 3. igitur continet illud 1. (11/3); </
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<
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">ſi verò
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ſint 3. inſtantis continet illud, 1/2; ſi 4. continet 1. 3/5, ſi 5. continet 1.2/3
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ſi 5. continet 1 2/3. ſi 6. continet 1 5/7. ſi 7. continet 1 3/4. ſi 8. continet
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1 7/9. ſi 9. continet 1 (4/11). ſi 10. continet 1 9/5 ſic quo plura erunt inſtantia
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accedet propiùs ad rationem duplam, nunquam tamen ad illam perue
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niet. </
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<
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">Ex dictis multa tumultuatim Corollaria congeri poſſunt; </
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Corollarium
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1.
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<
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">Etiamſi non ſint partes infinitæ temporis; </
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<
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">in ordine tamen ad praxim
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eodem modo ſe habent, ac ſi eſſent infinitæ; quia licèt finitæ ſint, nume
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rari tamen non poſſunt. </
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Corollarium
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2.
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<
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id
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">Etiam ſi non ſint infiniti tarditatis gradus, vt conſtat ex dictis, ſed fi
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niti; </
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<
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id
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">in ordine tamen ad praxim eodem modo ſe habent, ac ſi eſſent in
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finiti; quia non poteſt diſtingui primus, & minimus ab omnibus
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aliis. </
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Corollarium
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3.
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<
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<
s
id
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">Licèt hypotheſis Galilei ſit falſa in hypotheſi inſtantium finitorum; </
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nam ſingulis inſtantibus noua fit velocitatis acceſſio; </
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<
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">phyſicè tamen lo
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quendo eodem modo ſe habet, ac ſi eſſet vera; </
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<
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">quia cum non poſſit pro
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bari, niſi in partibus temporis ſenſibilibus; </
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<
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id
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">certà, cùm quælibet pars
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ſenſibilis innumera ferè inſtantia contineat, in quibus fit progreſſio; </
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<
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differentia vtriuſque ſenſibilis eſſe non poteſt; </
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<
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">igitur linea denticulata
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eodem modo ſe habet phyſicè, hoc eſt ſenſibiliter, ac ſi eſſet recta; </
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que progreſſio arithmetica in multis terminis reducitur ſenſibiliter ad
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Geometriam in paucioribus terminis; immò in communi illa ſententia. </
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in qua dicitur tempus conſtare ex partibus actu infinitis, progreſſio Ga
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lilei tantùm locum habere peteſt; </
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<
s
id
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">igitur hæc eſto clauis huius difficul
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tatis; </
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<
s
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">progreſſio ſimplex principium phyſicum habet, non experimen
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tum; </
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<
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">progreſſio numerorum imparium experimentum non principium; </
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vtramque cum principio & experimento componimus; prima enim ſi. </
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aſſumantur partes temporis ſenſibiles tranſit in ſecundam, ſecunda in
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primam, ſi vltima aſſumantur inſtantia. </
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Corollarium
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4.
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<
s
id
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">Cognito ſpatio quod percurritur in data parte temporis ſenſibili, co
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gnoſci poteſt ſpatium quod in duabus æqualibus vel 3.vel 4.&c.percurri
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poteſt.v.g. </
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<
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">multi probarunt ſæpiùs primo ſecundo minuto corpus graue
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percurrere 12. pedes; igitur duobus percurreret 48. accipe enim 9. 2.
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id eſt 4. & in 4. duces 12. vt habeas 48. 4. verò minutis percurret 192.
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nam accipe 9. 4. id eſt 16. & in 16. duces 12.vt habeat 192. res omninò
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facilis. </
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Corollarium
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5.
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<
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ſces ſpatium, quod percurret 2. vel 1. v.g. percurrit 4. ſecundis 192. pe-</
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