Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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<
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101
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026/01/133.jpg
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facilè accipi poteſt, cum nullum diſcrimen ſenſibile eſt. </
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</
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<
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<
s
id
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N172FA
">Adde quod non deſunt viri grauiſſimi qui dicant ſe vix obſeruare po
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tuiſſe hanc ſpatiorum progreſſionem; </
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<
s
id
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N17300
">plures appellare poſſem; </
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<
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id
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N17304
">vnus
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Gaſſendus eſt inſtar omnium; </
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<
s
id
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N1730A
">qui ſanè in obſeruando fuit acuratiſſimus,
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qui literis ſcriptis, quas ego vidi, expreſſis verbis aſſerit progreſſionem
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hanc non eſſe omninò iuxta hos numeros 1.3.5.7. ſed ſingulis addendas
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eſſe ſuas minutias, quas ipſe habet; </
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<
s
id
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N17314
">ſed ego omitto, quia etiam ſua incer
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titudine laborant; </
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<
s
id
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N1731A
">igitur nullo experimento ad amuſſim concludes,
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vel
<
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æqualitatẽ
">æqualitatem</
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>
vel aliam accuratam tùm temporum tùm ſpatiorum pro
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portionem: </
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>
<
s
id
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N17326
">Equidem ſenſu percipio practicam hanc eſſe maiorem pede; </
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<
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id
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N1732A
">
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at tot lineis vel
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pũctis
">punctis</
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>
ſuperare ne Argus quidem certò, ac diſtinctè cer
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neret: </
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<
s
id
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N17335
">Sed efficaciter, meo iudicio, hanc Galilei hypotheſim refello; </
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<
s
id
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N17339
">ſint
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2.partes temporis æquales AE, EF, eæque ſenſibiles; </
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>
<
s
id
="
N1733F
">nec enim aliæ aſ
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ſumi poſſunt; </
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>
<
s
id
="
N17345
">ſintque minimæ omnium ſenſibilium; </
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>
<
s
id
="
N17349
">haud dubiè conſtant
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ſingulæ infinitis ferè aliis inſenſibilibus, vt patet; </
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>
<
s
id
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N1734F
">igitur ſic ratiocinatur
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Galileus; </
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>
<
s
id
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N17355
">in prima parte temporis AE corpus graue percurrit ſpatium
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GH, & in ſecunda æquali EF percurrit ſpatium HL triplum prioris; </
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igitur ſpatia ſunt vt quadrata temporum, rectè; ſed antequam vlterius
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progrediar;</
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>
<
s
id
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"> Quæro vel à Galileo, vel à quolibet alto, vtrum ſpatium
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HL ſit omnino triplum? </
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>
<
s
id
="
N17367
">& ſi aliquis contenderet deeſſe (1/1000000) GH
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vtrum experimento præſenti conuinci poſſit? </
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>
<
s
id
="
N1736C
">nemo, vt puto, id aſſerere
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auſit; </
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>
<
s
id
="
N17372
">hoc poſito, aſſumptaque progreſſione arithmetica
<
expan
abbr
="
quã
">quam</
expan
>
noſtra ſen
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tentia in ſpatiis adſtruit; </
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>
<
s
id
="
N1737C
">ſi prima parte temporis AE percurratur ſpa
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tium GH, ſecunda EF. percurretur tantùm HK duplum GH; </
s
>
<
s
id
="
N17382
">igitur
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minus eſt hoc ſpatium vero ſpatio 1/4. ſcilicet tota KL; </
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>
<
s
id
="
N17388
">res prorſus de
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monſtrata eſſet, ſi termini proportionis vnius eſſent tantùm 2. id eſt, ſi
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progreſſio fieret in partibus temporis ſenſibilibus; </
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>
<
s
id
="
N17390
">at poſito quod ſint
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plures termini, vt reuerâ ſunt; </
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>
<
s
id
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N17396
">nam in totidem terminis fit progreſſio, in
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quibus fit augmentum impetus, vel accelerationis acceſſio; </
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>
<
s
id
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N1739C
">atqui hæc
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fit in ſingulis inſtantibus, licèt finitis, igitur & progreſſio; </
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>
<
s
id
="
N173A2
">Quare duæ
<
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partes temporis AE, EF diuidantur in 4. æquales AD; certè in duabus
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primis percurretur ſpatium. </
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>
<
s
id
="
N173AA
">VQ æquale GH; igitur duabus vltimis per
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curretur QK, quæ ſit ad QV vt 7. ad 3. nam prima parte percurritur 1.
<
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ſpatium. </
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<
s
id
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N173B1
">ſecunda 2. igitur QV continet tria ſpatia; </
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<
s
id
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N173B5
">tertia verò 3. quarta
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4.ergo hæ duæ vltimæ 7. ſed QM eſt dupla QV; </
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>
<
s
id
="
N173BB
">igitur continet 6. igi
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tur MK eſt 1/3 VQ, vel KL; </
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>
<
s
id
="
N173C1
">igitur KM eſt (1/12) GL; </
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>
<
s
id
="
N173C5
">igitur 12. L (1/10), vel
<
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/>
1/6, igitur VK eſt ad GL vt 10.ad 12. igitur totum ſpatium VK eſt mi
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nus vero 1/6. Præterea 2. partes temporis AE EF diuidantur in 8. partes
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æquales AE; </
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>
<
s
id
="
N173CF
">haud dubiè 4. primis percurretur ſpatium XT æquale
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GH, quod debet diuidi in 10. ſpatia; </
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>
<
s
id
="
N173D5
">nam 4. terminis, ſeu temporibus
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reſpondent ſpatia 10. quibus æqualia ſunt 40. in teta GL, cuius XT eſt
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(1/14), ſed ſi in 4.primis acquiruntur 10. 4. vltimis EF acquiruntur 26.ſcili
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cet T 5; igitur tota X 5. eſt 6. igitur eſt ad GL vt 36. ad 40. ſeu 9. ad
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10. igitur X 5. eſt ſpatium minus vero (1/10). </
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<
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">Præterea diuidatur tempus AF in 16. partes æquales AB; </
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<
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N173E7
">haud dubiè </
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