Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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338
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totum id quod poteſt addere, poſito quod ſit æqualis motui centri, & pun
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cto A detrahit totum id, quod poteſt detrahere. </
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Corollarium
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2.
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</
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</
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<
s
id
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">Colligo ſecundò, duo puncta eodem tempore ſpatia æqualia poſſe ac
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quire, licèt vtrumque mobile inæquali motu moueatur. </
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Corollarium
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3.
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<
s
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">Tertiò, ſi aſſumatur punctum
<
foreign
lang
="
grc
">β</
foreign
>
grad.45, illud ipſum eſſe, quod maxi
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mum omnium ſpatium conficit eo tempore, quo reuoluitur quadrans,
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id eſt eo tempore, quo percurrit lineam L, I, G, F; nam percurrit ſegmen
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tum rotatilis, cuius chorda eſt
<
foreign
lang
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grc
">δ β</
foreign
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, ſeu percurrit duplam ſegmenti L 15.
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atqui dupla L 15. eſt maior LF, vt conſtat. </
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Corollarium.
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4.
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</
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</
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<
s
id
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">Centrum O mouetur velociùs, quàm punctum contactus A, vt certum
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eſt; nam eo tempore quo centrum conficit OP æqualem AB, punctum A
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conficit tantùm AS. </
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Theorema
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5.
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Punctum A non regreditur, ſed tantillùm accedit dextrorſum
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; </
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<
s
id
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">ratio eſt,
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quia dextrorſum acquirit AB, v. g. ſiniſtrorſum verò acquirit XT æ
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qualem arcui AV; </
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>
<
s
id
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N25122
">ſed arcus eſt mâior ſuo ſinu; </
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<
s
id
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N25126
">igitur plùs acquirit dex
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trorſum, quàm ſiniſtrorſum; igitur non regreditur, nec etiam remanet in
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linea AO. </
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Theorema
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6.
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Omnia puncta inter OQ mouentur tardiùs, quàm centrum O
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; </
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>
<
s
id
="
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">ſit enim
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punctum P v.g. certè perueniet in 7. ita vt OPR 7. ſint æquales; </
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>
<
s
id
="
N25150
">ſed P
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7. eſt minor OE, licèt P 7. tantillùm incuruetur; </
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>
<
s
id
="
N25156
">è contrario verò nullum
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eſt punctum inter GZ, quod non moueatur velociùs, quàm O, vt patet; </
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>
<
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id
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N2515C
">
<
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hinc Z mouetur velociſſimè omnium punctorum diametri ZQ, Q verò
<
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tardiſſimè; </
s
>
<
s
id
="
N25163
">O denique medio quaſi motu inter vtrumque; </
s
>
<
s
id
="
N25167
">tardiùs qui
<
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dem cæteris inter ZO, velociùs tamen aliis, quæ ſunt inter OQ; immò
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omnia puncta radiorum OA, OQ, quæ diſtant æqualiter ab O eo tem
<
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/>
pore, quo centrum O percurrit totam OE, acquirunt æqualia ſpatia,
<
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itemque æqualia, quæ ſunt in radiis OL, OZ, licèt prioribus maiora:
<
lb
/>
ſimiliter motus aliarum partium, quæ ſunt intra circulum,
<
expan
abbr
="
earumq́ue
">earumque</
expan
>
<
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/>
ſpatia, dato tempore cognoſci poſſunt, & ex dictis facilè intelliguntur. </
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>
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<
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Corollarium
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1.
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</
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</
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<
p
id
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<
s
id
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">Hînc collige vulgi ſenſum; nam plerique omnes exiſtimant tùm om
<
lb
/>
nes partes peripheriæ rotæ moueri æquè velociter, tùm nullam eſſe par
<
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/>
tem intra circulum vel arcum, quæ non moueatur tardiùs, tùm partibus
<
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peripheriæ, tum ipſo centro. </
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Corollarium
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2.
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</
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<
s
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">Colligo ſecundò, fi fiat quadrans A, 18. 16. vt eſt arcus 18.16.ad rectá </
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>
</
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</
chap
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</
body
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</
text
>
</
archimedes
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