Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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<
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N19109
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<
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141
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xlink:href
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026/01/173.jpg
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N19886
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<
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N19888
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<
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Theorema
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31.
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<
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N19894
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<
s
id
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N19896
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<
emph
type
="
italics
"/>
Hinc primo inſtanti motus violenti deſtruitur minor gradus impetus quàm
<
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ſecundo,
<
emph.end
type
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italics
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quod demonſtro; </
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>
<
s
id
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N198A1
">quia eadem cauſa breuiore tempore minùs agit
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per Ax.3.l.2. & Ax. 13.l.1. num.4. igitur minùs impetus deſtruitur pri
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mo, quàm ſecundo, & minùs ſecundo quàm tertio, atque ita deinceps;
<
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idem enim dici debet de cauſa deſtructiua, quod de productiua. </
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>
</
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<
p
id
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N198AB
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type
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">
<
s
id
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N198AD
">Dices, igitur idem impetus deſtruitur primo inſtanti, quo eſt, ſi deſtrui
<
lb
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tur primo inſtanti motus. </
s
>
<
s
id
="
N198B2
">Reſpondeo negando; quia primo inſtanti, quo
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lb
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eſt impetus, non eſt motus per Th.34.l.1. </
s
>
</
p
>
<
p
id
="
N198B8
"
type
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main
">
<
s
id
="
N198BA
">Dices, igitur impetus ille eſt fruſtrà, quia nullus effectus, ſeu motus
<
lb
/>
ex eo ſequitur; Reſpondeo negando; nam omnes gradus impetus qui ei
<
lb
/>
dem parti mobilis inſunt, communi quaſi actione, vel exigentia indi
<
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uiſibiliter exigunt motum. </
s
>
</
p
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<
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id
="
N198C4
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type
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">
<
s
id
="
N198C6
">
<
emph
type
="
center
"/>
<
emph
type
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italics
"/>
Theorema
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emph.end
type
="
italics
"/>
32.
<
emph.end
type
="
center
"/>
</
s
>
</
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id
="
N198D2
"
type
="
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">
<
s
id
="
N198D4
">
<
emph
type
="
italics
"/>
Hinc gradus omnes producti in eadem parte ſubiecti ſunt inæquales in
<
lb
/>
perfectione
<
emph.end
type
="
italics
"/>
; </
s
>
<
s
id
="
N198DF
">cum enim ſinguli ſingulis inſtantibus deſtruantur, vt dictum
<
lb
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eſt; quippe eſt tantùm vnus gradus impetus innati, & cum ſingula in
<
lb
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ſtantia ſint inæqualia, etiam ſinguli gradus illius impetus ſunt inæquales
<
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in perfectione. </
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>
</
p
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<
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id
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N198E9
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type
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<
s
id
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N198EB
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<
emph
type
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center
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<
emph
type
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"/>
Theorema
<
emph.end
type
="
italics
"/>
33.
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type
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center
"/>
</
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</
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>
<
p
id
="
N198F7
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type
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">
<
s
id
="
N198F9
">
<
emph
type
="
italics
"/>
Hinc redditur optima ratio, cur tot producantur potiùs quàm plures, quæ
<
lb
/>
alioquin minimè afferri poteſt
<
emph.end
type
="
italics
"/>
; </
s
>
<
s
id
="
N19904
">immò, niſi hoc eſſet, nulla eſſet huiuſmodi
<
lb
/>
naturalis retardatio; nam producantur, ſi fieri poteſt, omnes æquales, ſint
<
lb
/>
que v.g.20. nunquid poſſunt eſſe 40. perfectionis ſubduplæ, vel 10. du
<
lb
/>
plæ, vel 5. quadruplæ &c. </
s
>
<
s
id
="
N1990E
">cur autem potiùs vnum dices quàm aliud? </
s
>
<
s
id
="
N19911
">at
<
lb
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verò optimam inde reddo rationem quòd cum ſint omnes inæquales, cò
<
lb
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plures ſunt, quò maior eſt niſus; pauciores verò, quò minor. </
s
>
</
p
>
<
p
id
="
N19919
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type
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main
">
<
s
id
="
N1991B
">
<
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type
="
center
"/>
<
emph
type
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italics
"/>
Theorema
<
emph.end
type
="
italics
"/>
34.
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type
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center
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</
s
>
</
p
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<
p
id
="
N19927
"
type
="
main
">
<
s
id
="
N19929
">
<
emph
type
="
italics
"/>
Hinc ſunt inæquales in eâdem proportione, in quæ inſtantia ſunt inæqualia
<
emph.end
type
="
italics
"/>
<
lb
/>
v. </
s
>
<
s
id
="
N19932
">g. quà proportione primum inſtans eſt minus ſecundo, & ſecundum
<
lb
/>
tertio, ita ille gradus impetus, qui deſtruitur primo inſtanti, eſt minor
<
lb
/>
vel imperfectior co, qui deſtruitur ſecundo, & qui deſtruitur ſecundo
<
lb
/>
imperfectior co, qui deſtruitur tertio, atque ita deinceps. </
s
>
</
p
>
<
p
id
="
N1993D
"
type
="
main
">
<
s
id
="
N1993F
">
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Theorema
<
emph.end
type
="
italics
"/>
35.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
id
="
N1994B
"
type
="
main
">
<
s
id
="
N1994D
">
<
emph
type
="
italics
"/>
Hinc perfectiſſimus omnium graduum ille eſt qui deſtruitur vltimo inſtan
<
lb
/>
ti, de quo infrá
<
emph.end
type
="
italics
"/>
; </
s
>
<
s
id
="
N19958
">quod ſequitur ex dictis neceſſariò: vtrùm verò ille ſit æ
<
lb
/>
qualis omninò in perfectione impetui naturali innato, dicemus
<
lb
/>
infrà. </
s
>
</
p
>
<
p
id
="
N19960
"
type
="
main
">
<
s
id
="
N19962
">
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Scholium.
<
emph.end
type
="
italics
"/>
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
id
="
N1996E
"
type
="
main
">
<
s
id
="
N19970
">Hic obſeruabis mirabilem ſanæ naturæ prouidentiam, quæ motus
<
lb
/>
omnes cum ipſo naturali ita compoſuit, vt ſit veluti regula omnium mo
<
lb
/>
tuum, ſitque vnum quaſi principium perfectionis totius impetus; </
s
>
<
s
id
="
N19978
">tùm in </
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>
</
p
>
</
chap
>
</
body
>
</
text
>
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archimedes
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