Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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N2136B
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273
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026/01/307.jpg
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<
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<
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<
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<
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Theorema
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1.
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<
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<
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Datur motus circularis.
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emph.end
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</
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<
s
id
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N2146E
"> Probatur infinitis ferè experimentis; primò in
<
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librâ cuius brachia motu tantùm circulari deſcendunt. </
s
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<
s
id
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N21474
">Secundò in ve
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cte, qui etiam mouetur circulari motu; </
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>
<
s
id
="
N2147A
">Tertiò in turbine, rota molari,
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liquore contento intra vas ſphæricum; Quartò in funependulo vibrato. </
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<
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id
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N21480
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Probatur ſecundò; </
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<
s
id
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N21485
">quia poteſt imprimi impetus vtrique extremitati ci
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lindri in partes oppoſitas, ſit enim cilindrus, vel parallelipedum LC,
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cuius extremitati imprimatur impetus, per lineam CP, itemque extre
<
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mitati L æqualis per lineam LG oppoſitam CP. Dico, quod mouebitur
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circulariter circa centrum K, ita vt extremitas L conficiat arcum LB &
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C arcum CE; </
s
>
<
s
id
="
N21493
">nec enim C moueri poteſt per CP neque L per LM; </
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<
s
id
="
N21497
">
<
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quippe cùm ſit æqualis impetus, neutra extremitas præualere poteſt: </
s
>
<
s
id
="
N2149C
">non
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vtraque, quia MP eſt maior LC; </
s
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<
s
id
="
N214A2
">nec dici poteſt neutram moueri, cum
<
lb
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moueri poſſit L per arcum LT, & C per arcum CS; </
s
>
<
s
id
="
N214A8
">quippe impetus
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eſt indifferens ad omnem lineam; & hæc eſt ratio à priori circularis
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motus de qua fusè infrà. </
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>
</
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<
p
id
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N214B0
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type
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">
<
s
id
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N214B2
">Obſeruabis motum circularem ab iis negari, qui ex punctis mathema
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ticis continuum componunt; </
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>
<
s
id
="
N214B8
">quia ex eo ſequeretur non poſſe dari mo
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tum continuum velociorem, vel tardiorem, quod ridiculum eſt; </
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>
<
s
id
="
N214BE
">ſi enim
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punctum Q æquali tempore moueatur cum puncto C certè arcus QR
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quem percurrit eo tempore, quo C percurrit arcum CS, eſſet æqualis
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arcui CS, quod eſt abſurdum; </
s
>
<
s
id
="
N214C8
">quod certè ne admittere cogantur, mo
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tum circularem negant, quod æquè abſurdum eſt; </
s
>
<
s
id
="
N214CE
">præſertim eum ad vi
<
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tandum motum circularem infinita quoque abſurda deglutiant, ma
<
lb
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nifeſtis experimentis contradicant, oculos ipſos intuentium præſtigiis
<
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illudi aſſerant, ferreum vectem dum mouetur in mille partes diffringi
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etiam iurent; ſed hæc omitto. </
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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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N214DC
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<
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type
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center
"/>
<
emph
type
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"/>
Theorema
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emph.end
type
="
italics
"/>
2.
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type
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type
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Niſi impediretur impetus determinatio per lineam rectam, non daretur mo
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tus circularis ſaltem in ſublunaribus.
<
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v. g. niſi impediretur determinatio
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impetus, qui ineſt puncto L per lineam LM; </
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>
<
s
id
="
N214FC
">haud dubiè non mouere
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tur per arcum LB, ſed per rectam LM; igitur ille motus non eſſet cir
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cularis. </
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>
</
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<
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id
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N21504
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type
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main
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<
s
id
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N21506
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<
emph
type
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center
"/>
<
emph
type
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italics
"/>
Theorema
<
emph.end
type
="
italics
"/>
3.
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type
="
center
"/>
</
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>
</
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<
p
id
="
N21513
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type
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main
">
<
s
id
="
N21515
">
<
emph
type
="
italics
"/>
Hinc motus circularis oritur ex recto impedito in ſingulis punctis
<
emph.end
type
="
italics
"/>
: </
s
>
<
s
id
="
N2151E
">dixi in
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ſingulis punctis; </
s
>
<
s
id
="
N21524
">quia licèt in puncto L impediretur, non tamen in ſe
<
lb
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quenti; </
s
>
<
s
id
="
N2152A
">eſſet quidem noua linea determinationis, non tamen curua; ſi
<
lb
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tamen in ſingulis punctis impediatur æquali ſemper radio, haud dubiè
<
lb
/>
eſt circularis. </
s
>
</
p
>
<
p
id
="
N21532
"
type
="
main
">
<
s
id
="
N21534
">Obſeruabis dictum eſſe ſupra in ſublunaribus quia corpora cœleſtia
<
lb
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mouentur motu circulari non habita vlla ratione motus recti, de quo
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ſuo loco. </
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>
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