Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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104
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xlink:href
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010/01/112.jpg
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<
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vt terminus eius A deſcendat
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deorsùm percurrendo arcum
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AI neceſsè eſt vt eius oppoſi
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tus terminus B motu contrario
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ſursùm aſcendat percurrendo
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arcum BH æqualem contrapo
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ſito AI. </
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<
s
id
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s.000512
">Et
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quotieſcumq;
">quotieſcumque</
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præ
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dicti motus
<
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abbr
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cõtrarij
">contrarij</
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ſimul fie
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ri nequeunt, tunc neceſsè eſt
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vt libra, vel rota quieſcatiņ
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eodem ſitu, nec agitetur. </
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Cap. 4. poſi
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tiuam leui
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tatem noņ
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dari.</
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PROP. XLVI.
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Si eidem libræ termino applicentur potentiæ ad oppoſitas
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partes
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abbr
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trahẽtes
">trahentes</
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mutuo
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abbr
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ſeimpediẽt
">ſeimpedient</
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>
, & potentia maior
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præualebit, libram
<
expan
abbr
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flectẽdo
">flectendo</
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vi æquali dif
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ferentiæ potentiarum.
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<
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">APponatur poſtea pondus DE termino libræ A;
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hoc profectò vim efficit, conaturque traherę
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terminum libræ A per directionem AD versùs cen
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trum telluris, at quia ſemidiameter AC in
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abbr
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cẽtro
">centro</
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>
librę
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figitur immobiliter, hinc conſequetur reuolutio librę
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fereturque terminus A non per lineam rectam AD,
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ſed per arcum AI excurrendo integrum
<
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abbr
="
quadrantẽ
">quadrantem</
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>
,
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& quia libra AB ſupponitur continua, & rigida
<
expan
abbr
="
eodẽ
">eodem</
expan
>
<
lb
/>
tempore quo terminus A arcum AI pertranſit oppo
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/>
ſitus eius terminus B deſcribet contrapoſitum arcum
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/>
BH. </
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<
s
id
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s.000517
">Modò motum eiuſdem libræ, & deſcenſum pon-</
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>
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