Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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id eſt 5787037. diebus id eſt 89031. annis, omitto minutias; atqui lon
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gè adhuc plura in vno minuto continentur inſtantia. </
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Theorema
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60.
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Si corpus graue deſcenderet motu æquabili, eoque æquali motui vltimi in
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stantis, duplum ferè ſpatium æquali tempore conficeret illius quod conficit
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motu accelerato, duplum inquam ferè ſcilicet paulò minùs
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; </
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<
s
id
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">quia conficit
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idem motu æquabili; </
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<
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id
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">cuius velocitas eſt ſubdupla maximæ & minimæ; </
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ſed minima velocitas primi inſtantis pro nihilo reputatur; </
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<
s
id
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">igitur acci
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piatur tantùm ſubduplum maximæ, igitur cum velocitate æquali maxi
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mæ, eodem tempore duplum ſpatium percurretur; </
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<
s
id
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">igitur in vno minuto
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ſecundo, v.g. 24. pedes; </
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<
s
id
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">igitur in vno minuto primo eodem motu æqua
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bili 1440. pedes percurrentur; </
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<
s
id
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">igitur in vna hora 86400. pedes; hinc
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non eſt quod aliqui adeo mirentur, ſeu potiùs reiiciant hanc motus
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accelerationem quod ex ea tùm tardiſſimus motus, tùm velociſſimus
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conſequatur. </
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Theorema
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61.
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Motus naturaliter acceleratus non propagatur per omnes tarditatis gra
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dus
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; </
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s
id
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">quia tot ſunt huius propagationis gradus, quot ſunt inſtantia,
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quibus durat hic motus, cum ſingulis inſtantibus noua fiat impetus ac
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ceſſio, ſed non ſunt infinita inſtantia, vt demonſtrabimus in Metaphy
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ſica; </
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<
s
id
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">prætereà licèt eſſent infinita inſtantia, non fieret adhuc per omnes
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tarditatis gradus hæc propagatio; </
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<
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">quia daretur aliquis gradus tarditatis,
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quem non comprehenderet hæc graduum ſeries; </
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<
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id
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">nam incipit moueri
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tardiùs in plano inclinato quàm in libero medio rectà deorſum, vt con
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ſtat, & in medio denſo quàm in raro v.g. in aqua quàm in aëre; igitur
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hic tarditatis gradus, quo incipit moueri in plano tantillùm inclinato,
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non continetur inter illos, quibus mouetur rectà deorſum. </
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<
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<
s
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">Hinc duplici nomine reiice Galilæum qui hoc aſſerit. </
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<
s
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">Primò, quia
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fruſtrà ponit infinita inſtantia ſine neceſſitate; </
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<
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">ſecundò, quia ratio, quam
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habet, non conuincit; </
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<
s
id
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">vocat enim quietem tarditatem infinitam; </
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<
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">à qua
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dum recedit mobile, haud dubiè per omnes tarditatis gradus propagari
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poteſt eius motus; ſed contrà primò, nam reuerà quies non eſt tarditas,
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quæ motui tantùm ineſſe poteſt. </
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<
s
id
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">Secundò, quia tàm ex quiete ſequi po
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teſt immediatè velox motus, quàm tardus, vt patet in proiectis. </
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<
s
id
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">Tertiò,
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quia motus incipit; </
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<
s
id
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">igitur per aliquid ſui, igitur ille primus motus à
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quiete infinitè non diſtat; denique rationes ſuprà propoſitæ rem iſtam
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euincunt. </
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Scholium.
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<
s
id
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">Obſeruabis conſideratum eſſe hactenus hunc motum nulla habita
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ratione reſiſtentiæ medij, quæ haud dubiè hanc propoſitionem motus
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accelerati tantillùm impedit, ſed de reſiſtentià medij agemus infrà. </
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Corollarium
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1.
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<
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">Ex dictis facilè reiicies primò ſententiam illorum, qui negant mo-</
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