Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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<
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N24CC8
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<
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N25784
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<
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<
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pagenum
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346
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xlink:href
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026/01/380.jpg
"/>
motus propiùs ad circularem, & è contrario quò maior eſt motus centri,
<
lb
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vt accidit in ſecundo genere motus, accedit propiùs ad motum rectum;
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cum verò alter alteri æqualis eſt motus mixtus, quem medium appellare
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poſſumus. </
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</
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<
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<
s
id
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N257B2
">27. Aliqua puncta maioris rotæ; </
s
>
<
s
id
="
N257B6
">cuius motus à minori dirigitur re
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troëunt, ſcilicet, quæ accedunt propiùs ad punctum contactus E, v. g.
<
lb
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ipſum E vbi centrum rotæ eſt in KI regreditur in O: </
s
>
<
s
id
="
N257C1
">immò regredi vi
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lb
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detur vſque ad X, id eſt, donec ſecus lineam BM; </
s
>
<
s
id
="
N257C7
">igitur cum arcus ZE
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M, ſit ſubduplus arcus ZIM, vt conſtat, & cùm motus centri ſit ſubduplus
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motus orbis, etiam arcus, qui regreditur, eſt ſubduplus illius, qui non re
<
lb
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greditur; ſed
<
expan
abbr
="
motũ
">motum</
expan
>
centri ſequitur. </
s
>
<
s
id
="
N257D5
">Tertiò, ſi ducas multas parallelas AL,
<
lb
/>
quæ diuidant YE in arcus æquales, habebis puncta lineæ motus v.g. ſit E
<
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V ſubduplus EY ſit, VO ſubdupla EN, ſit EZ 2/3 XY; </
s
>
<
s
id
="
N257DF
">ſit IX 2/3 EN; deni
<
lb
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que ipſa YP æqualis EN. </
s
>
</
p
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<
p
id
="
N257E5
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type
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">
<
s
id
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N257E7
">28. Quartò, aliquod punctum nec progreditur, nec regreditur vno
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lb
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inſtanti, eo ſcilicet; </
s
>
<
s
id
="
N257ED
">quo tantum detrahit motus orbis, quantum addit
<
lb
/>
motus centri,
<
expan
abbr
="
poteſtq́ue
">poteſtque</
expan
>
determinari punctum illud; </
s
>
<
s
id
="
N257F7
">imò & proportiones
<
lb
/>
motus cuiuſlibet puncti; ſed hæc ex poſitis principiis facilè colligitur
<
lb
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operâ analytices. </
s
>
</
p
>
<
p
id
="
N257FF
"
type
="
main
">
<
s
id
="
N25801
">Quintò punctum E mouetur velociùs, cum dirigitur motus â minori
<
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rota, quàm punctum C, cum dirigitur motus à maiori; </
s
>
<
s
id
="
N25807
">quia motus orbis
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lb
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multùm illud retroagit: </
s
>
<
s
id
="
N2580D
">immò non mouetur tardiſſimè omnium; </
s
>
<
s
id
="
N25811
">ſed pun
<
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ctum illud, quod nec progreditur, nec regreditur, ſed modicùm vel aſcen
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lb
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dit vel deſcendit; ſunt autem duo huiuſmodi puncta, alterum in arcu I
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lb
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E, alterum in YE. </
s
>
</
p
>
<
p
id
="
N2581C
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type
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main
">
<
s
id
="
N2581E
">29. Sextò denique ex his principis benè èxplicatur quomodo maior
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lb
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vel minor rota, cuius motus ab alia minore dirigitur, moueri poteſt; </
s
>
<
s
id
="
N25824
">nec
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eſt quod in his diutiùs immoremur, vt tandem interruptam noſtro
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rum Theorematum ſeriem repetamus, ſunt enim plures alij motus mixti
<
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non tantùm ex recto, & circulari, ſed ex duobus & pluribus circularibus;
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quorum omnium rationes niſi me veritas ipſa fallit (quæ tamen falle
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re non poteſt) ad ſua principiæ phyſica reducemus. </
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<
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id
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emph
type
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center
"/>
<
emph
type
="
italics
"/>
Theorema
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emph.end
type
="
italics
"/>
9.
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type
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center
"/>
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<
s
id
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N25843
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<
emph
type
="
italics
"/>
Globus, qui deſcendit deorſum in plano inclinato, mouetur motu mix
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to ex recto centri, & circulari orbis
<
emph.end
type
="
italics
"/>
; </
s
>
<
s
id
="
N25850
">patet ex dictis, cum more rotæ
<
lb
/>
moueatur, ſic etiam mouetur globus deorſum demiſſus cum aliqua in
<
lb
/>
clinatione; </
s
>
<
s
id
="
N25858
">cuius certè nulla pars aſcendit, ſen regreditur; </
s
>
<
s
id
="
N2585C
">eſt enim
<
lb
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eadem illius ratio; </
s
>
<
s
id
="
N25862
">cur autem moueatur ille motu mixto, & non
<
lb
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recto ſimplici: </
s
>
<
s
id
="
N25868
">ratio eſt, quia propter primam illam inclinationem
<
lb
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tollitur eius æquilibrium; </
s
>
<
s
id
="
N2586E
">cùm enim globus perfectus in aëre vibratus,
<
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ſi nulla adſit inclinatio, ſit in perfecto æquilibrio, certè, ſi vel modica in
<
lb
/>
clinatio accedat vel in C vel in D tolletur æquilibrium, quia illa incli
<
lb
/>
natio
<
expan
abbr
="
idẽ
">idem</
expan
>
præſtat quod pondus nouum
<
expan
abbr
="
additũ
">additum</
expan
>
; porrò huius inclinationis: </
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>
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