Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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8 primis acquiritur ſpatium YS æquale GH; quod debet diuidi in ſpa
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tiola 36, quæ reſpondent 8. temporibus, ſeu terminis huius progreſſio
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nis, quibus æqualia ſunt 144. in GL, cuius YS eſt 1/4, ſed ſi in 8. primis
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acquiruntur 36. in 8. vltimis acquirentur 100. igitur S 6. eſt 100. igitur
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Y6. eſt 136. igitur eſt ad GL vt 136. ad 144.ſeu 17.ad 18.igitur Y6.eſt
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ſpatium totale minus vero (1/18). </
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<
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">Deinde diuidatur adhuc tempus AF in partes 32. æquales, 16. pri
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mis acquiritur ZR æquale GH, quod debet diuidi in ſpatiola 136.quæ
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reſpondent 16. temporibus quibus æqualia ſunt 544. in tota GL, cuius
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ZR eſt 1/4 ſed ſi in 16. primis temporibus acquiruntur 136. in vltimis
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16. acquiruntur 392. igitur R 7. eſt 392. & ZR 136. igitur Z 7.528.
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igitur Z 7. eſt ad GL, vt 528. ad 544. ſeu vt 33. ad 34. igitur Z 7 eſt
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ſpatium minus verò (1/34) </
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<
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">Denique ſi diuidatur tempus AF in partes 64.ſpatium acquiſitum erit
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minus vero, aſſumpto ſcilicet tota HL (1/66), ſi diuidatur in 128. partes, erit
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minus (1/130) ſi diuidatur in 256. partes, erit minus (1/258) ſed temporis par
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tes 2.AE. EF minimè ſenſibilium diuidi poſſunt in infinita ferè inſtan
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tia; ſint tantùm ex.g. </
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">1000000. igitur ſpatium tunc acquiſitum erit mi
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nus ſuppoſito vero HL (1/1000002), quæ ſi deſit tantùm ſpatio KL vt ſit 1/4
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totius GL, quis hoc diſcernat? </
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<
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">igitur etiam ſuppoſita progreſſione arith
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metica, quæ fiat in finitis inſtantibus; </
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<
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">ſi obſeruetur acuratiſſimè ſpatium,
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quod percurritur in vna parte temporis ſenſibili v. g. ſpatium GH in
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parte temporis AE; </
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<
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">ſpatium, quod acquiretur in tempore ſecundo æqua
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li tàm propè accedet ad ſpatium HL, id eſt ad triplum prioris GH, vt
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nullus mortalium diſcernere poſſit; igitur cum hoc experimento tàm
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poteſt ſtare noſtra hypotheſis, quàm alia Galilei, igitur neutra ex eo tan
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tùm euinci poteſt. </
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<
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">Hinc obiter obſerua progreſſionem differentiarum; </
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<
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tantùm 2. partes temporis, differentia eſt 1/4; </
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">ſi 4.1/6 ſi 8. (1/10); ſi 16.(1/18); ſi 32.
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(1/34); </
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<
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">ſi 64.(1/66) nam primò denominator fractionis ſuperat tantùm binario
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numerum partium temporis; ſecundò differentiæ denominatorum ſunt
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in progreſſione geometrica dupla numerorum 2. 4. 8. 16. 32. 64.
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128. &c. </
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<
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">Eodem modo ſoluendum eſt ſecundum experimentum rotati globi in
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plano decliui; </
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">præſertim cum globus ab incurſu aſperiorum partium
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tùm globi, tùm plani ſaltuatim deſcendat; </
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">quod dubium eſſe non poteſt,
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& quò decliuius erit, faciliùs reſiliet a plano, vt patet; ſed de motu in
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planis inclinatis fusè agemus infrà libro integro. </
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<
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">Quod ſpectat ad tertium experimentum; </
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<
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">multa in eo ſupponuntur
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vel falſa, vel ſaltem dubia: vel ea quæ cum noſtra hypotheſi optimè con
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ueniant. </
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<
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id
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">Primum eſt, quando dicuntur omnes vibrationes eiuſdem fune
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penduli, ſiue maiores, ſiue minores eſſe æquediuturnæ, quod manifeſtis
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experimentis repugnat; </
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<
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">quippe vibratio maior plùs temporis; </
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rò minùs in ſuo deſcenſu ponit; </
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<
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qualia; </
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<
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">alterum quidem ex altitudine 90.graduum, alterum ex altitudine </
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