Baliani, Giovanni Battista
,
De motv natvrali gravivm solidorvm et liqvidorvm
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<
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s.000505
">PROPOSITIO VIII.</
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type
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<
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id
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">Si lineae perpendicularis, & inclinata ab eo
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dem puncto digressae, per quas idem grave
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naturaliter ducatur, secentur a recta norma
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lis ad inclinatam; impetus in punctis sectionis,
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sunt ut portiones linearum intra sectiones.</
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41
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8
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type
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proof
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<
p
type
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<
s
id
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s.000507
">Sint rectae AB perpendicularis, & AC quomo
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documque; inclinata per quas grave naturaliter
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ducatur, sectae a BD normali ad AC declinantem.</
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</
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<
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type
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<
s
id
="
s.000508
">Dico impetum in B ad impetum in D esse ut AB
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ad AD.</
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p
type
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<
s
id
="
s.000509
">Fiat BE dupla AB mensura impetus in B, & DF
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lb
/>
dupla AD mensura impetus in D
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="
marg131
"/>
.</
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</
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<
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type
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margin
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<
s
id
="
s.000510
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Per 10. sexti.</
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<
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type
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<
s
id
="
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">Quoniam grave ducitur per AB AD eodem
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tempore
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. Ducitur etiam sine ope gravitatis eo
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dem tempore per spatia aequalia ipsis BE, DF
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& proinde BE, DF sunt ut impetus in B & D
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.</
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</
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<
p
type
="
margin
">
<
s
id
="
s.000512
">
<
margin.target
id
="
marg132
"/>
Per 18. Quinti.</
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type
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margin
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<
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id
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id
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Per 16. Quinti.</
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type
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<
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id
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s.000514
">
<
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id
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Per pr. huius.</
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type
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<
s
id
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">At BE, DF sunt ut AB, AD per constr. quip
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pe earum duplae. </
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>
<
s
id
="
s.000516
">Igitur AB, AD sun t ut im
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petus in B & D
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n
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"/>
quod, etc.</
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</
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type
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margin
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<
s
id
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s.000517
">
<
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id
="
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"/>
Per cor. 3. huius.</
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</
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<
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type
="
corollary
">
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type
="
head
">
<
s
id
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s.000518
">Corollarium</
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</
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<
p
type
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<
s
id
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s.000519
">Impetus sive velocitas in B ad impetum in D
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est ut AC ad AB.</
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