Baliani, Giovanni Battista, De motv natvrali gravivm solidorvm et liqvidorvm

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PROPOSITIO VIII.
Si lineae perpendicularis, & inclinata ab eo­
dem puncto digressae, per quas idem grave
naturaliter ducatur, secentur a recta norma­
lis ad inclinatam; impetus in punctis sectionis,
sunt ut portiones linearum intra sectiones.
41[Figure 41]
Sint rectae AB perpendicularis, & AC quomo­
documque; inclinata per quas grave naturaliter
ducatur, sectae a BD normali ad AC declinantem.
Dico impetum in B ad impetum in D esse ut AB
ad AD.
Fiat BE dupla AB mensura impetus in B, & DF
dupla AD mensura impetus in D.
Per 10. sexti.
Quoniam grave ducitur per AB AD eodem
tempore. Ducitur etiam sine ope gravitatis eo­
dem tempore per spatia aequalia ipsis BE, DF
& proinde BE, DF sunt ut impetus in B & D.
Per 18. Quinti.
Per 16. Quinti.
Per pr. huius.
At BE, DF sunt ut AB, AD per constr. quip­
pe earum duplae. Igitur AB, AD sun t ut im­
petus in B & D quod, etc.
Per cor. 3. huius.
Corollarium
Impetus sive velocitas in B ad impetum in D
est ut AC ad AB.

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