Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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tiæ ad diuulſionem exercetur in centro I circuli AB.
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<
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id
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">Habebimus igitur vectem inflexum CBI in quo vis
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<
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abbr
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mouẽs
">mouens</
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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
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abbr
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fiũt
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;
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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
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expan
abbr
="
mouẽtem
">mouentem</
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M eamdem pro
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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
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">quam pondus S habet ad pondus
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R. </
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<
s
id
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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
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mẽti
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tractione directa.
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<
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id
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">Hinc deducitur quòd ſi
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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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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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