Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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186
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010/01/194.jpg
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tiæ ad diuulſionem exercetur in centro I circuli AB.
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</
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<
s
id
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s.000950
">Habebimus igitur vectem inflexum CBI in quo vis
<
lb
/>
<
expan
abbr
="
mouẽs
">mouens</
expan
>
M applicatur in C, reſiſtentia verò applicatur
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in I, & fulcimentum, ſeù centrum reuolutionis vectis
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CBI eſt punctum B quod fixum perſeuerat dum cir
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ca ipſum motus, & reuolutiones partium vectis
<
expan
abbr
="
fiũt
">fiunt</
expan
>
;
<
lb
/>
Quaproptèr, iuxtà leges Mechanices, reſiſtentia to
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talis ad diuulſionem, & ſeparationem ſuperficiei AB
<
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ab ipſo pauimento ad vim
<
expan
abbr
="
mouẽtem
">mouentem</
expan
>
M eamdem pro
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lb
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portionem habebit, quam vectis longitudo CB ad
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oppoſitam eius portionem BI, ſcilicèt habebit eam
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dem proportionem. </
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>
<
s
id
="
s.000951
">quam pondus S habet ad pondus
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R. </
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<
s
id
="
s.000952
">Verùm pondus R æquale erat potentiæ M. igitur
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pondus S æquale erit reſiſtentię abſolutæ, & totali,
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quam exercet ſuperficies AB quando diuelli, & ſe
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parari debet à ſuperficie paui
<
expan
abbr
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mẽti
">menti</
expan
>
tractione directa.
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</
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>
<
s
id
="
s.000953
">Hinc deducitur quòd ſi
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abbr
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põ-
">pon
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number
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dus O propoſitionis 89. di
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uellit columnam à pauimento
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directione, & impetu tranſ
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uerſali, & perpendiculari ad
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latus columnę, poterit nihilo
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minùs indagari
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expan
abbr
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reſiſtẽtia
">reſiſtentia</
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>
ab
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ſoluta, & totalis contiguita
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tis, vel repugnantiæ ad vacuum earumdem ſuperfi
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cierum, eritque talis vis abſoluta tantomaior pon
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dere O, quantò altitudo columnæ CB maior eſt ſe
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miſſe diametri AB, & ſic ſi vis transuerſalitèr colum
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nam diuellens æqualis eſſet ponderi trium librarum </
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