Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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<
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id
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N24CC8
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<
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pagenum
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352
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xlink:href
="
026/01/386.jpg
"/>
<
p
id
="
N25D7D
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type
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main
">
<
s
id
="
N25D7F
">Nonò, ſi aſſumatur quodlibet punctum intra rotam v.g. punctum
<
lb
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X perueniet in A eo tempore, quo B erit in M, vt patet; </
s
>
<
s
id
="
N25D87
">hinc moue
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lb
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bitur per lineam motus mixti, qui accedit propiùs ad circularem;
<
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quemadmodum enim cum rota mouetur in plano rectilineo, punctum
<
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illius, quod accedit propiùs ad centrum mouetur eo motu, qui accedit
<
lb
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propiùs ad motum centri, id eſt ad motum rectum. </
s
>
<
s
id
="
N25D93
">Similiter punctum,
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quod accedit propiùs ad Q in hac rota mouetur eo motu, qui accedit
<
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propiùs ad motum centri C, id eſt ad motum circularem; igitur hic mo
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tus puncti X plùs participat de motu centri, quàm de motu orbis, qui
<
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ſcilicet in eo minimus eſt. </
s
>
</
p
>
<
p
id
="
N25D9F
"
type
="
main
">
<
s
id
="
N25DA1
">Decimò, hinc ſi motus minoris rotæ radio CX dirigatur à motu ma
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ioris radio CB; </
s
>
<
s
id
="
N25DA7
">hæc quidem ita mouetur vt ſingula puncta BE re
<
lb
/>
ſpondeant ſingulis BT, non tamen ſingula XY ſingulis XB; </
s
>
<
s
id
="
N25DAD
">ſed hic
<
lb
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etiam accerſendi ſunt contactus illi inadæquati extremi plùs, minuſue,
<
lb
/>
de quibus ſuprà; eſt enim prorſus eadem difficultas, quam ſuprà diſcuſ
<
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/>
ſimus ſuo titulo rotæ Ariſtotelicæ, quam hîc tantùm indicaſſe ſufficiat,
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cùm ex prædictis principiis omninò ſoluatur. </
s
>
</
p
>
<
p
id
="
N25DB9
"
type
="
main
">
<
s
id
="
N25DBB
">Vndecimò ſimiliter, ſi minor rota motum maioris dirigat; </
s
>
<
s
id
="
N25DBF
">haud du
<
lb
/>
biè maioris idem punctum pluribus punctis ſuperficiei curuæ, cui in
<
lb
/>
cumbit inadæquato dumtaxat contactu reſpondebit, eritque diuerſa li
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lb
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nea huius motus, & aliqua puncta retroagentur; </
s
>
<
s
id
="
N25DC9
">quod quomodo fiat,
<
lb
/>
iam ſuprà explicuimus; quod verò ſpectat ad proprietates iſtarum linea
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lb
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rum, in ſingularem tractatum cas remittimus. </
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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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N25DD3
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<
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type
="
center
"/>
<
emph
type
="
italics
"/>
Theorema
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emph.end
type
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16.
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type
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<
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id
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type
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">
<
s
id
="
N25DE1
">
<
emph
type
="
italics
"/>
Explicari poſſunt omnia phœnomena, quæ in ſuperficie curua circuli
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maioris rotatur
<
emph.end
type
="
italics
"/>
; </
s
>
<
s
id
="
N25DEC
">ſit enim ſuperficies curua BF radius AB, ſitque rota
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radio NB, cuius peripheria eſt æqualis BF; </
s
>
<
s
id
="
N25DF2
">igitur M tanget C, O tan
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get D, & B tandem tanget F; igitur mouetur hæc rota motu mixto ex
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duobus circularibus. </
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>
</
p
>
<
p
id
="
N25DFA
"
type
="
main
">
<
s
id
="
N25DFC
">Primò, ſignari poſſunt omnia puncta huius lineæ v. g. MIHF
<
lb
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per quæ ducenda eſt linea curua, cuius etiam affectiones aliàs demon
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ſtrabimus. </
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>
</
p
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<
p
id
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N25E07
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type
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">
<
s
id
="
N25E09
">Secundò, punctum B mouetur initio tardiſſimè, O velociſſimè; </
s
>
<
s
id
="
N25E0D
">ratio
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nem iam bis attulimus; </
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>
<
s
id
="
N25E13
">quia ſcilicet maior eſt motus, cum motus centri
<
lb
/>
conuenit cum motu orbis; minor verò è contrario. </
s
>
</
p
>
<
p
id
="
N25E19
"
type
="
main
">
<
s
id
="
N25E1B
">Tertiò, motus huius rotæ accedit propiùs ad motum rotæ in plano
<
lb
/>
rectilineo, quàm motus rotæ ſuperioris; quia BF, quæ eſt ſuperficies ma
<
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ioris circuli, accedit propiùs ad lineam rectam. </
s
>
</
p
>
<
p
id
="
N25E23
"
type
="
main
">
<
s
id
="
N25E25
">Quartò, ſi ſit minor rota radio NR cuius motus dirigatur à motu
<
lb
/>
maioris radio NB, deſcribit lineam, quæ accedit propiùs ad lineam
<
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rectam RSTVX, ſeu potiùs ad motum centri, quod mouetur motu
<
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circulari per arcum NG, à quo non recedit, vt patet: </
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>
<
s
id
="
N25E2F
">porrò minor
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rota percurrit maiorem ſuperficiem ſua peripheria, quod etiam expli-</
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>
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