Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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N2136B
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<
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278
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xlink:href
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026/01/312.jpg
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<
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N21925
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<
s
id
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N21927
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<
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type
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<
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type
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Theorema
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15.
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<
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N21933
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<
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id
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N21935
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<
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type
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italics
"/>
Puncta diuerſorum circulorum mouentur inæquali motu
<
emph.end
type
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italics
"/>
; </
s
>
<
s
id
="
N2193E
">quia tempori
<
lb
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bus æqualibus inæquales percurrunt arcus; </
s
>
<
s
id
="
N21944
">igitur inæquali motu per
<
lb
/>
Axio. 1. v.g. puncta L & C quæ diſtant æqualiter à centro K, mouentur
<
lb
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æquali motu, quia æquali tempore conficiunt æquales arcus CS, LT; at
<
lb
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verò puncta CQ inæquali motu mouentur, quia æquali tempore arcus
<
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inæquales percurrunt, ſcilicet CS, QX. </
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</
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<
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id
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N21954
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type
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<
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id
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N21956
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type
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<
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Theorema
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emph.end
type
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italics
"/>
16.
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type
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"/>
</
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</
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<
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id
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N21962
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type
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">
<
s
id
="
N21964
">
<
emph
type
="
italics
"/>
Hinc puncta, quæ accedunt propiùs ad centrum mouentur tardiùs, quæ lon
<
lb
/>
giùs recedunt, mouentur velociùs.
<
emph.end
type
="
italics
"/>
v.g. C velociùs, quia conficit arcum ma
<
lb
/>
iorem; </
s
>
<
s
id
="
N21973
">CSQ tardiùs, quia æquali tempore conficit arcum minorem
<
lb
/>
QR ſunt autem arcus ſimiles, vt radij, id eſt QR eſt ad CS, vt radius
<
lb
/>
KQ ad QC, ſed motus ſunt vt arcus; igitur motus, vt radij, vel diſtantiæ
<
lb
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à centro communi. </
s
>
</
p
>
<
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id
="
N2197D
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type
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<
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id
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N2197F
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<
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type
="
center
"/>
<
emph
type
="
italics
"/>
Theorema
<
emph.end
type
="
italics
"/>
17.
<
emph.end
type
="
center
"/>
</
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>
</
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>
<
p
id
="
N2198B
"
type
="
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">
<
s
id
="
N2198D
">
<
emph
type
="
italics
"/>
Ex his constat impetum, qui præstat motum circularem distribui in mobili
<
lb
/>
vniformiter, id eſt æqualem in eodem circulo, vel in distantia æquali, & dif
<
lb
/>
formiter, id eſt inæqualem in diuerſis circulis, vel in diuerſa distantia
<
emph.end
type
="
italics
"/>
; </
s
>
<
s
id
="
N2199A
">quia
<
lb
/>
ex inæqualitate motus cognoſci tantùm poteſt inæqualitas impetus; </
s
>
<
s
id
="
N219A0
">fit
<
lb
/>
autem hæc diffuſio, ſeu propagatio in ratione longitudinum v. g. impe
<
lb
/>
tus in Q eſt ad impetum in C, vt longitudo KQ ad KC, vt conſtat ex
<
lb
/>
dictis; </
s
>
<
s
id
="
N219AE
">accipio autem omnes partes impetus, quæ ſunt in Q, & compa
<
lb
/>
ro omnes illas cum omnibus illis, quæ inſunt puncto C; </
s
>
<
s
id
="
N219B4
">nam certum eſt
<
lb
/>
ex his quæ fusè diximus lib.1.non produci plures partes impetus in C,
<
expan
abbr
="
quã
">quam</
expan
>
<
lb
/>
in
<
expan
abbr
="
q;
">que</
expan
>
ſed perfectiorem impetum produci in C, quàm in Q: </
s
>
<
s
id
="
N219C4
">recole quæ
<
lb
/>
diximus lib.1. à Th. 99. ad Th.112. in quibus habes totam propagatio
<
lb
/>
nem impetus determinati ad motum circularem; </
s
>
<
s
id
="
N219CC
">ſiue applicetur po
<
lb
/>
tentia centro, id eſt iuxta centrum; ſiue circumferentiæ. </
s
>
</
p
>
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p
id
="
N219D2
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type
="
main
">
<
s
id
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N219D4
">
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Theorema
<
emph.end
type
="
italics
"/>
18.
<
emph.end
type
="
center
"/>
</
s
>
</
p
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<
p
id
="
N219E0
"
type
="
main
">
<
s
id
="
N219E2
">
<
emph
type
="
italics
"/>
Motus puncti C non eſt velocior motu puncti Q ratione temporis, ſed ſpatij
<
emph.end
type
="
italics
"/>
; </
s
>
<
s
id
="
N219EB
">
<
lb
/>
quia vtrumque mouetur ſemper æquali tempore, quia ſunt in eodem ra
<
lb
/>
dio; </
s
>
<
s
id
="
N219F2
">recole etiam, quæ diximus alibi, ſcilicet lib. 2. in comparatione
<
lb
/>
motuum, vel aſſumi poſſe ſpatia æqualia cum temporibus inæqualibus,
<
lb
/>
vel tempora æqualia cum ſpatiis inæqualibus; </
s
>
<
s
id
="
N219FA
">atqui in motu circulari
<
lb
/>
cum omnes partes eiuſdem mobilis ſimul moueantur, id eſt ſimul inci
<
lb
/>
piant, & deſinant moueri; </
s
>
<
s
id
="
N21A02
">certè æquali tempore mouentur; </
s
>
<
s
id
="
N21A06
">ſed motus
<
lb
/>
eſt inæqualis; igitur non ratione temporis, quod æquale eſt, ſed
<
lb
/>
ſpatij. </
s
>
</
p
>
<
p
id
="
N21A0E
"
type
="
main
">
<
s
id
="
N21A10
">Hic fortè aliquis deſideraret ſolutionem illius argumenti, quod vul
<
lb
/>
gò ducitur ex motu circulari contra puncta phyſica, quod ſic breuiter
<
lb
/>
proponi poteſt. </
s
>
<
s
id
="
N21A17
">Sit punctum Q, quod acquirat punctum ſpatij verſus R
<
lb
/>
vno inſtanti; </
s
>
<
s
id
="
N21A1D
">certe punctum C, quod mouetur verſus S, acquiret eodem </
s
>
</
p
>
</
chap
>
</
body
>
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