Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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[Figure 171]
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107
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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. 45.</
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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. XLVIII.
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Iiſdem datis, ſi ambæ potentiæ ſursùm trahant,
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idem ſequetur.
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">ID ipſum verum quoque eſt,
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ſi applicentur terminis op
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poſitis eiuſdem libræ A, B duæ
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vires inæquales, DE maior, &
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F minor, quæ ambæ ſursùm ter
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minos libræ trahant aſcenden
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do. </
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">& hìc eodem modo oſten
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detur, quòd libra flectetur ſur
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sùm ab A versùs H, & reliqua
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vis minor F ſuperabitur ab ex
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ceſſu virtutis DE ſupra F, deſcendetque terminus B
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versùs I. </
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PROP. XLIX.
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Si oppoſitos terminos libræ duæ potentiæ trahant vna ſur
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sùm, altera deorsùm, ſe mutuò iuuabunt, & vis li
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bram flectens æqualis erit ſummæ ambarum
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potentiarum.
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nus A deorsùm trahatur à
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D, ſed eius
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oppoſitus terminus B ſursùm trahatur à vi aſcenden
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te F, quæ minor ſit vi ponderis D, dico, quòd libra
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non quieſcet, ſed reuoluetur eius terminus A
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