Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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Theorema
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31.
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Si duo mobilia ferantur motu æquabili per diuerſa ſpatia, & diuerſa velo
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citate, tempora erunt in ratione compoſita ex ratione ſpatiorum & ratione
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velocitatum permutata
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; </
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<
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ratio ſpatiorum 4/1, velocitatum 4/2; </
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<
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vtraque 4/1, ideſt 1/2, quæ eſt ratio temporum. </
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Theorema
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32.
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Si duo mobilia æquabili motu ferantur per diuerſa ſpatia, & inæqualibus
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temporibus; </
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<
s
id
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">ratio velocitatum erit compoſita ex ratione ſpatiorum, & ex ra
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tione temporum permutata
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type
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; Probatur eodem modo; ſit ratio ſpatiorum
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4/2 temporum 1/2, permutetur 2/1, compoſita ex vtraque erit 2/2, ideſt 4.
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quæ eſt ratio velocitatum. </
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Scholium.
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<
s
id
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">Obſeruabis hæc omnia à vigeſimo Theoremate maiori ex parte tradi
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à Galileo ſuo modo, optimo quidem, ſed fortè longiore quàm par ſit,
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nulla habita ratione cauſarum phyſicarum. </
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Theorema
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33.
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</
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In motu naturaliter accelerato impetus nouus acquiritur ſingulis inſtanti
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bus
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; Probatur quia ſingulis inſtantibus eſt eadem cauſa neceſſaria, igi
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tur ſingulis inſtantibus aliquem effectum producit, per Ax. 12. l.1. ſed
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priorem non conſeruat, vt dictum eſt ſuprà, igitur nouum producit. </
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Theorema
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34.
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Hinc ſingulis inſtantibus æqualibus nouus impetus æqualis acquiritur,
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quip
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pe eſt æqualis, imò eadem cauſa, igitur æqualem effectum producit per
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Ax.12. l.1. </
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Theorema
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35.
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Hinc ſingulis inſtantibus intenditur impetus in hoc motu
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; cum ſingulis
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inſtantibus producatur nouus, & prior conſeruetur, cui cum addatur,
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intenditur per Ax. 1. </
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Theorema
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36.
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Hinc ſingulis inſtantibus æqualiter creſcit & intenditur impetus
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per Th.
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34. igitur æqualiter etiam ſingulis inſtantibus creſcit velocitas motus
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per Ax.2. </
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Scholium
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<
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<
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dictū
">dictum</
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eſſe ſuprà
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instantibus æqualibus,
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quia temporis natura
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aliter explicari non poteſt, quàm per inſtantia finita, vt demonſtrabimus
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in Metaphyſica; </
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>
<
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aliqua ſimul producitur, ſiue ſit maius, ſiue minus, ſiue ſit pars maior,
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vel minor, quod ad rem noſtram nihil facit penitus; </
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>
<
s
id
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">nam dato quocun
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que tempore finito poteſt dari maius & minus, quod certum eſt; </
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>
<
s
id
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totum illud tempus, quo producitur primus impetus acquiſitus, vo-</
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