Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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<
archimedes
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<
text
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<
front
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<
section
>
<
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<
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<
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ta applicatio, cum maximo impedimento, quod reuerâ tunc eſt,
<
lb
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cùm linea directionis connectit centra grauitatis vtriuſque. </
s
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<
s
id
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N102F4
">Datur
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impetus alio impetu perfectior, & imperfectior, ſine quo non po
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teſt explicari natura vectis: </
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>
<
s
id
="
N102FC
">itaque dato quocunque dari poteſt per
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fectior, & imperfectior: quia dato quocunque motu poteſt dari ve
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locior, & tardior. </
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</
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<
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<
s
id
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N10306
">4. Propagatur impetus vniformiter tantùm, cùm omnes partes
<
lb
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corporis mouentur motu recto æquali: </
s
>
<
s
id
="
N1030C
">ibi enim eſt æqualis cauſa,
<
lb
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vbi eſt æqualis effectus: </
s
>
<
s
id
="
N10312
">in motu circulari applicata potentia cen
<
lb
/>
tro vectis, producitur æqualis perfectionis versùs circunferentiam,
<
lb
/>
& inæqualis numerus; </
s
>
<
s
id
="
N1031A
">applicata verò potentia circunferentiæ, pro
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lb
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ducitur æqualis numerus, ſed inæqualis perfectionis versùs cen
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trum; </
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>
<
s
id
="
N10322
">quia potentia non poteſt producere immediatè perfectiorem,
<
lb
/>
& imperfectiorem in infinitum: </
s
>
<
s
id
="
N10328
">eadem potentia neceſſaria æquali
<
lb
/>
bus temporibus, & iiſdem circunſtantiis, producit æqualem impe
<
lb
/>
tum, & inæqualibus inæqualem: eſt enim hæc ratio cauſæ neceſ
<
lb
/>
ſariæ. </
s
>
</
p
>
<
p
id
="
N10332
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type
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<
s
id
="
N10334
">5. Impetus innatus eſt tantùm determinatus ad lineam perpen
<
lb
/>
dicularem deorſum; </
s
>
<
s
id
="
N1033A
">alioquin ſi ad aliam determinari poſſet, primo
<
lb
/>
eſſet æqualis motus per inclinatam, & perpendicularem; </
s
>
<
s
id
="
N10340
">corpus
<
lb
/>
graue miſſum per lineam inclinatam ab eo non declinaret; </
s
>
<
s
id
="
N10346
">imò im
<
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petus ſemel productus (ſi liberum eſſet medium) non deſtrueretur: </
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>
<
s
id
="
N1034C
">
<
lb
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quæ omnia phyſicis hypotheſibus repugnant: omnis alius impetus,
<
lb
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etiam acquiſitus motu naturali deorſum, eſt indifferens ad omnem
<
lb
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lineam, ad vitanda infinita ferè naturæ incommoda. </
s
>
</
p
>
<
p
id
="
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type
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">
<
s
id
="
N10357
">6. Impetus indifferens determinatur ad lineam multis modis:
<
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primò, à potentia motrice: </
s
>
<
s
id
="
N1035D
">ſecundò, ab impetu: </
s
>
<
s
id
="
N10361
">tertiò, ab alio impe
<
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/>
tu concurrente; quartò, ab obice occurrente: </
s
>
<
s
id
="
N10367
">quintò, ab ipſo appli
<
lb
/>
cationis diuerſo modo: quæ omnia clara ſunt: hinc duo impetus ad
<
lb
/>
motum mixtum ſæpè concurrunt, quod ſemper fit, niſi determina
<
lb
/>
tiones ſint oppoſitæ ex diametro. </
s
>
<
s
id
="
N10371
">Impetus eſt capax intenſionis; </
s
>
<
s
id
="
N10375
">
<
lb
/>
quia aliquando deſtruitur ex parte: </
s
>
<
s
id
="
N1037A
">eius extenſio commenſuratur
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/>
extenſioni mobilis; </
s
>
<
s
id
="
N10380
">quod etiam cæteris qualitatibus commune eſt:
<
lb
/>
impetus productus non conſeruatur à cauſa primò productiua, à
<
lb
/>
qua etiam ſeparatus exiſtit. </
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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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N1038A
">7. Impetus non eſt contrarius alteri ratione entitatis; </
s
>
<
s
id
="
N1038E
">quia qui
<
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libet cum quolibet in eodem ſubiecto coëxiſtere poteſt: </
s
>
<
s
id
="
N10394
">pugnat
<
lb
/>
tamen vnus cum alio ratione determinationis: </
s
>
<
s
id
="
N1039A
">hinc vnus impetus
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pugnat cum alio ratione lineæ motus: </
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>
<
s
id
="
N103A0
">hinc vnus videtur deſtrui ab </
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>
</
p
>
</
section
>
</
front
>
</
text
>
</
archimedes
>