Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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est maius alio
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; </
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<
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20. igitur inæqualibus inæqualia iuxta rationem temporum; item ſpa
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tium, quod idem percurritur minori tempore minus eſt. </
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Theorema
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24.
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Tempus quo maius ſpatium percurritur eodem motu æquabili, eſt maius eò
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quò minus conficitur iuxta rationem ſpatiorum:
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Si enim ſpatia ſunt vt tem
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pora, igitur tempora ſunt vt ſpatia; item tempus, quo minus ſpatium
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percurritur eſt minus co, quo maius. </
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Theorema
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25.
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Spatium, quod conficitur motu velociore, eſt maius eo, quod percur
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ritur æquali certè tempore, ſed tardiore motu,
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vt conſtat per def. </
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<
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imò eſt maius iuxta rationem velocitatis maioris, item eſt minus iuxta
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rationem tarditatis maioris. </
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Theorema
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26.
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Tempus, quo conficitur ſpatium æquale ſed uelociore motu, est minus eo
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quo conficitur tardiore
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; </
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<
s
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ne velocitatum permutando; item tempus quo conficitur ſpatium æqua
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le tardiore motu eſt maius eo, quo conficitur velociore, patet. </
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Theorema
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27.
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Si datum mobile eodem motu æquabili duo percurrat ſpatia, tempora mo
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tuum erunt vt ſpatia, & viciſſim ſpatia vt tempora.
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<
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24. & 23. </
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Theorema
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28.
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Si idem mobile temporibus æqualibus percurrat duo ſpatia motu æquabili,
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ſed inæquali velocitate; </
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<
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<
s
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">imò ſi
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ſpatia ſunt vt velocitates, tempora erunt æqualia
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; pater etiam per
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Th.25. </
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Theorema
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29.
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Si percurrantur à mobili æqualia ſpatia, ſed inæquali velocitate, ipſæ ve
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locitates erunt in ratione permutata temporum, ideſt maior velocitas reſpon
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debit minori tempori, & minor maiori
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; Probatur per Th.23. </
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Theorema
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30.
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Si duo mobilia mouentur motu æquabili, ſed inæquali velocitate, & inæqua
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libus temporibus, ſpatia ſunt in ratione compoſita ex ratione temporum, & ex
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ratione velocitatum,
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ſi enim æqualia ſint tempora, ſpatia erunt vt velo
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citates per Th.25. ſi æquales ſint velocitates, ſpatia erunt vt tempora, per
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Th.29. igitur ſi nec æquales velocitates, nec æqualia tempora, erit ratio
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ſpatiorum compoſita ex ratione temporum, & ex ratione velocitatum;
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ſit ratio temporum 3/2 ratio velocitatum 2/3 compoſita ex vtraque erit 6/2
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ſeu 3. vt conſtat ex ipſis elementis. </
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