Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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ſeu energiæ compreſſionis, quam patitur pars B,
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quã-do
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do</
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ambo poſt flexionem, & motum quieſcunt; ergo
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momentum
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potẽtiæ
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P æqua
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le eſt
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momẽto
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<
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reſiſtẽtiæ
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, ſeu
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energiæ, compreſſionis,
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quã
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patitur B, & fiunt niſus per
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eamdem rectam perpendi
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cularem ad horizontem, igi
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tur abſoluta potentia P æ
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qualis | eſt reſiſtentiæ abſolutæ, ſeu vi compreſſionis,
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quam patitur B. </
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">Pari ratione abſoluta potentia E, vel
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G æquatur reſiſtentiæ, ſeu vi compreſſionis partis op
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poſitæ C. vnde deducitur duas potentias P & E, ſeu
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G ſimul ſumptas æquales eſſe reſiſtentiæ integræ, ſeu
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vi totali compreſſionis, quam patitur anulus, vel ve
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ſica ABC. </
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Cap. 5. de ae
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ris grauitate
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æquilibrio,
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ſtructura, &
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vi elateria
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eius.</
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<
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id
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">Poſtea ſubſtituatur pauimentum durum RS loco
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potentiæ flectentis E, vel G, & ſolummodo ſupernè
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anulus, vel veſica aerea comprimatur à potentia P
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ſcilicet à ſemiſſe potentiarum P, & E. </
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<
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id
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">Dico anulum̨,
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vel veſicam aeream æquè conſtringi, ac priùs à dua
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bus potentijs contrarijs contundebatur. </
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mentum ſtabile RS perinde reagit impediendo mo
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tum, & deſcenſum ponderis P, ipſumque in eodem ſi
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tu quiete ſtabili permanere cogit, ac operatur manus
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ſubiecta E, vel pondus G mediante libra FE, ergo
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ſtabilitatis ſoli momentum æquatur momento, & po
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tentiæ abſolutæ ipſius E, ſeu P. quare anulus, ſeu ae
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rea veſica BC comprimitur non à ſingulari, & ſubdu-</
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