Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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<
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<
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65
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026/01/097.jpg
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<
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ad centrum alterius ducitur
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; quippe nihil eſt aliud à quo determinari. </
s
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<
s
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N15279
">
<
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poſſit, vt patet; </
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>
<
s
id
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N1527D
">non determinatur etiam ab alterutra ſeorſim, vt con
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ſtat, igitur ab vtraque conjunctim; </
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<
s
id
="
N15283
">in qua verò proportione dicemus,
<
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& demonſtrabimus in libro de motu reflexo; ſunt enim mirificæ quæ
<
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dam reflexionum proportiones, quas ibidem explicabimus. </
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<
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<
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Theorema
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130.
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<
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<
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<
emph
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Hinc globus ſic impactus nunquam quieſcit
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emph.end
type
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"/>
; </
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>
<
s
id
="
N152A4
">ratio eſt, quia vtraque linea
<
lb
/>
determinationis cum angulum faciat, in communem lineam abit; </
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>
<
s
id
="
N152AA
">nam
<
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ex duabus lineis motus minimè oppoſitis ex diametro, fit alia tertia me
<
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/>
dia pro rata; hîc etiam latent myſteria, de quibus loco citato. </
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>
</
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<
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id
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type
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<
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id
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N152B4
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<
emph
type
="
center
"/>
<
emph
type
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"/>
Theorema
<
emph.end
type
="
italics
"/>
131.
<
emph.end
type
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center
"/>
</
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>
</
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<
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id
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type
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">
<
s
id
="
N152C2
">
<
emph
type
="
italics
"/>
Si globus minor in maiorem impingatur per quamcumque lineam directio
<
lb
/>
nis, determinatur ad nouam lineam motus reflexi
<
emph.end
type
="
italics
"/>
; </
s
>
<
s
id
="
N152CD
">experientia clara eſt; ra
<
lb
/>
tio eſt, quia maior globus maius eſt impedimentum, hinc nunquam
<
lb
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quieſcit minor globus impactus. </
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>
</
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id
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type
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<
s
id
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<
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type
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"/>
<
emph
type
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"/>
Theorema
<
emph.end
type
="
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"/>
132.
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type
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center
"/>
</
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</
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id
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type
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<
s
id
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">
<
emph
type
="
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"/>
Si globus major in minorem impingatur per lineam directionis, quæ conne
<
lb
/>
ctat centra, ſeruat
<
expan
abbr
="
eãdem
">eandem</
expan
>
lineam
<
emph.end
type
="
italics
"/>
; </
s
>
<
s
id
="
N152F4
">patet etiam experientiâ, cuius ratio eſt
<
lb
/>
minor reſiſtentia minoris globi; </
s
>
<
s
id
="
N152FA
">ſi verò ſit alia linea directionis, omni
<
lb
/>
nò reflectitur ſuo modo; </
s
>
<
s
id
="
N15300
">id eſt mutat lineam; </
s
>
<
s
id
="
N15304
">ſed de his omnibus fusè
<
lb
/>
aliàs; </
s
>
<
s
id
="
N1530A
">hîc tantùm ſufficiat indicaſſe; </
s
>
<
s
id
="
N1530E
">(ſuppoſita linea directionis cen
<
lb
/>
trali ſeu connectente centra, ſic enim deinceps eam appellabimus, in
<
lb
/>
quo caſu duplex determinatio tertiam mediam conflare non poteſt) in
<
lb
/>
dicaſſe inquam ſufficiat nouam determinationem, vel eſſe æqualem prio
<
lb
/>
ri, vel maiorem, vel minorem; </
s
>
<
s
id
="
N1531A
">ſi æqualis eſt, globus impactus ſiſtit; ſi
<
lb
/>
maior, reflectitur; ſi minor,
<
expan
abbr
="
eãdem
">eandem</
expan
>
lineam, ſed lentiùs pro rata pro
<
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ſequitur. </
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>
</
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<
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id
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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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133.
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type
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</
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</
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<
p
id
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<
s
id
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N15336
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<
emph
type
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"/>
Si ſit duplex impetus æqualis ad diuerſas lineas determinatus in eodem mo
<
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/>
bili, ſique illæ ſint ex diametro oppoſitæ ſiſtere debet mobile
<
emph.end
type
="
italics
"/>
; patet; </
s
>
<
s
id
="
N15341
">ſit enim
<
lb
/>
globus vtrimque gemino malleo percuſſus æquali ictu; </
s
>
<
s
id
="
N15347
">haud dubiè ſiſtit;
<
lb
/>
cur enim potiùs in vnam partem quam in aliam? </
s
>
<
s
id
="
N1534D
">cum ſimul in vtramque
<
lb
/>
moueri non poſſit. </
s
>
</
p
>
<
p
id
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type
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">
<
s
id
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N15354
">
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Theorema
<
emph.end
type
="
italics
"/>
134.
<
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type
="
center
"/>
</
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>
</
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<
p
id
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type
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<
s
id
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">
<
emph
type
="
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"/>
Si verò alter impetus ſit intenſior, poſito eodem caſu, haud dubiè eius de
<
lb
/>
terminatio præualebit pro rata
<
emph.end
type
="
italics
"/>
; patet etiam experientià; </
s
>
<
s
id
="
N1536D
">ratio eſt, quia im
<
lb
/>
petus fortior debiliorem vincit; pugnant enim pro rata per Ax. 15.
<
lb
/>
hinc ſi ſit duplò intenſior, ſubduplum ſuæ velocitatis amittet, ſi triplè
<
lb
/>
ſubtriplum, &c. </
s
>
<
s
id
="
N15377
">de quo aliàs. </
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>
</
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<
p
id
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type
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<
s
id
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">
<
emph
type
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"/>
<
emph
type
="
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"/>
Theorema
<
emph.end
type
="
italics
"/>
135.
<
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type
="
center
"/>
</
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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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">
<
emph
type
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"/>
Si duo globi projecti ſibi inuicem occurrant in lineæ directionis connectente
<
lb
/>
centra, reflectitur vterque æquali motu, quo antè.
<
emph.end
type
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"/>
</
s
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<
s
id
="
N15393
"> Probatur; </
s
>
<
s
id
="
N15396
">ſunt enim globi </
s
>
</
p
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</
chap
>
</
body
>
</
text
>
</
archimedes
>