Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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<
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pagenum
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126
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xlink:href
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026/01/158.jpg
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inſurgant: </
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<
s
id
="
N18AB0
">Obiicient fortè primò, experientiam eſſe contrariam; </
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<
s
id
="
N18AB4
">ſi enim
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accipiantur duo cubi maior, & minor eiuſdem materiæ, & dimittantur
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ex eadem altitudine eodem prorſus momento terram ferient; </
s
>
<
s
id
="
N18ABC
">Reſponde
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ri poteſt momentum illud ſenſu percipi non poſſe; ſi enim dicam ma
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iorem tangere terram 1000. inſtantibus ante minorem, an fortè ſenſu
<
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hoc percipies, viſu ſcilicet vel auditu? </
s
>
<
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id
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N18AC6
">igitur in maxima altitudine hæc
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lb
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ſpatiorum inæqualitas, & temporum ſenſu percipi poſſet, quæ in minori
<
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ſub ſenſum non cadit: præterea accipe pulueris granulum eiuſdem ma
<
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teriæ, tuncque etiam ſenſibilem motuum differentiam videbîs, atqui
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eſt eadem ratio de omni minore. </
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>
</
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<
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id
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type
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<
s
id
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N18AD4
">Secundò obiicient, ſi ſuperponatur cubus minor maiori in ſuo motu
<
lb
/>
nunquam ſeparantur; igitur æquali motu deſcendunt. </
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>
<
s
id
="
N18ADA
">Reſp. videri po
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lb
/>
teſt equidem æquali motu deſcendere quia ſunt veluti partes eiuſdem
<
lb
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corporis, & grauitant grauitatione communi, neque minor habet ſingu
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larem reſiſtentiam ſuperandam; </
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>
<
s
id
="
N18AE4
">immò ſi ſuperponatur minor maiori,
<
lb
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vel maior minori, motus eſt velocior quàm eſſet ſolius maioris; </
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>
<
s
id
="
N18AEA
">quia
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cum non ſit maior reſiſtentia, maiores illi vires opponuntur; igitur fa
<
lb
/>
ciliùs ſuperatur. </
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>
</
p
>
<
p
id
="
N18AF2
"
type
="
main
">
<
s
id
="
N18AF4
">Tertiò obiicient; </
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>
<
s
id
="
N18AF7
">eſt eadem ſpecie grauitas; </
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>
<
s
id
="
N18AFB
">igitur eadem grauitatio,
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idemque motus deorſum; </
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>
<
s
id
="
N18B01
">Reſponderi poſſet concedendo antecedens,
<
lb
/>
vnde in vacuo omnia grauia æquè velociter deſcenderent, ſi in eo mo
<
lb
/>
tus eſſet; at verò altera duarum cauſarum eiuſdem ſpeciei, quæ habet mi
<
lb
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norem proportionem actiuitatis ad reſiſtentiam, profectò minùs agit,
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quod certum eſt. </
s
>
</
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>
<
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id
="
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type
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<
s
id
="
N18B0F
">Quartò obij:igitur motus poſſet eſſe velocior, & velocior in infini
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lb
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tum; </
s
>
<
s
id
="
N18B15
">ſi enim maior cubus deſcenderet velociùs; </
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>
<
s
id
="
N18B19
">igitur ſi detur maior ad
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lb
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huc velociùs, atque ita deinceps: </
s
>
<
s
id
="
N18B1F
">Reſp. inanem prorſus eſſe difficulta
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tem; </
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>
<
s
id
="
N18B25
">quia cubus ille quantumuis maximus in vacuo deſcendit velociùs
<
lb
/>
quàm in aliquo medio v.g.in aëre, igitur nunquam augmentum veloci
<
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tatis infinitum eſt; quippe inter duos gradus velocitatis infiniti ſunt
<
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poſſibiles. </
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>
<
s
id
="
N18B2F
">v. g. ſit velocitas, quam habet in vacuo vt 2. illa verò quàm
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habet in aëre vt 1. ſi creſcat velocitas iuxta has minutias ſingulis inſtan
<
lb
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tibus 1/2 1/4 1/8 (1/16) (1/32), atque ita deinceps; quàm porrò multæ ſunt huiuſmodi
<
lb
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progreſſiones 1/3 1/6 (1/12) (1/24) &c. </
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>
<
s
id
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N18B3D
">igitur obiectiones illæ non euertunt Gali
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lei ſententiam. </
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>
</
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<
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type
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<
s
id
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">Inde idem Galileus oſtendere videtur cur atomi materiæ etiam gra
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uiſſimæ, ſeu granula pulueris motu tardiſſimo deſcendant in aëre vel in
<
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aqua; quia ſcilicet per illam diuiſionem ita imminutæ ſunt vires graui
<
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tatis, vt iam reſiſtentiam medij ſuperare non poſſint. </
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>
</
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<
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id
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type
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<
s
id
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">Sed videtur eſſe grauiſſima difficultas, ſint enim duo cubi, maior B
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F, minor GM, & vterque innatet medio liquido duplo grauiori; </
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<
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id
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N18B56
">certè ex
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tabit maior toto rectangulo CA æquali CF, & minor toto rectangulo
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KH æquali KM; </
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>
<
s
id
="
N18B5E
">igitur eſt eadem proportio grauitatis maioris ad reſi
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ſtentiam medij in grauitatione, quæ eſt minoris; igitur & in motu. </
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>
</
p
>
<
p
id
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N18B64
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type
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<
s
id
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N18B66
">Reſponderi poteſt eſſe maximam diſparitatem inter grauitationem, & </
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</
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</
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