Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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nam DF & FN ſunt duplæ MH & & HQ igitur dupla vi motrice opus
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eſt; </
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<
s
id
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">ſed vires cubi AF ſunt ad vires cubi GI, vt 8. ad 1. partes verò aëris,
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quas impellit AF, ſunt ad partes aëris, quas impellit GI, vt 4.ad 1. igitur
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ſi partes aëris mouerentur æquali motu cum ipſis cubis, à quibus mo
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uentur; </
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<
s
id
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N18C52
">certè maior moueretur motu velociori; </
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<
s
id
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N18C56
">vt autem moueantur par
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tes DF duplò velociore motu, quàm partes MH; </
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<
s
id
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N18C5C
">debent vires, quæ mo
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nent DF, eſſe in ratione dupla ad illas, quæ mouent MH, id eſt eo tem
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pore, quo vires vt 8.mouebunt mobile vt 4. motu vt 2. vires vt 1.moue
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bunt mobile vt 1. motu vt 1. licèt enim ſuperficies aëris EF moueatur
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deorſum; attamen ab alio aëere inferiore ita repertitur, vt ſurſum verſus
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FN repellatur. </
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<
s
id
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">Equidem tota ſuperficies aëris DF, cum pluribus partibus conſtet,
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non poteſt ſimul tranſire in FN; </
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<
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id
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">quia pars D antequam perueniat ad F
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tranſit per medium DF; igitur ſucceſſiuè per mea ad illud ſpatium DF,
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quo tempore quieſceret globus AF, quod ridiculum eſt. </
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<
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id
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">Quare fit neceſſariò aliqua circuitio, & partium aëris commixtio,
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ſeu conflictus; </
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<
s
id
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">ita vt retroeant pulſæ prius & repercuſſæ; </
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<
s
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">non quidem
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tramite recto, ſed cum aliqua circuitione; </
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<
s
id
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">quod certè facilè concipi po
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teſt, quæ circuitio eò maior eſt, quo latera cuborum ſunt maiora; ita
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que cum hæc ſatis fusè videantur eſſe explicata, ſit. </
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Theorema
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112.
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Duo cubi eiuſde
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m
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materiæ, & diuerſæ grauitatis æquali motu per ſe deſ
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cendunt
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; </
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<
s
id
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">probatur, quia licèt ſit maior proportio actiuitatis minus ad
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ſuam reſiſtentiam, quàm alterius; </
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<
s
id
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">illud tamen compenſatur; </
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<
s
id
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">eóque par
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tes aëris velociùs moueri debeant iuxta rationem laterum, vt patet ex
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dictis; </
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<
s
id
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">vnde neceſſariò ſequitur motus æqualis in vtroque cubo; </
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<
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id
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">igitur
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licèt maioris cubi vires habeant maiorem proportionem ad molem,
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quæ præcipuum illius motus retardat; </
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<
s
id
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N18CD3
">tum tamen aër, qui reſiſtit maiori
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cubo debeat amoueri, vt dictum eſt velociore motu quam aër, qui reſi
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ſtit minori, ſitque eadem proportio reſiſtentiæ ratione motus minoris
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ad maiorem, quæ eſt ratione molis maioris ad minorem; </
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<
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id
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">certè ratio
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compoſita vtriuſquè erit eadem in vtroque cubo; </
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<
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id
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N18CE3
">igitur æquè velociter
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vterque deſcendet: </
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<
s
id
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">hinc ſatís facilè ſoluitur ratio Galilei, quam multi
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parum cauti pro demonſtratione venditarunt, ad aliam verò rationem,
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quam ex minuto puluere ducere videtur, etiam facilè reſponderi poteſt; </
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ideo corpuſcula illa diu fluitare in aëre, tùm quòd minimo ferè tenuis
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auræ flatu agitentur; </
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<
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">ſic pulueris nubes medius ventus agit; </
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<
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">quis enim
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neſcit aëris partes agitari perpetuò; </
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<
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id
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">immò & aquæ inter ſe miſceri; </
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<
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">igi
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tur ab agitationis veluti impreſſione fluitant illa corpuſcula, cum mini
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mus ferè impetus extrinſecus illa commouere poſſit; </
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<
s
id
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">tùm etiam quòd à
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filamentis illis, quibus partes aëris implicantur facilè detineantur; ana
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logiam habes in lapillo, qui ab araneæ tela intercipitur. </
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