Baliani, Giovanni Battista
,
De motv natvrali gravivm solidorvm et liqvidorvm
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064/01/072.jpg
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8
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type
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proposition
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head
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<
s
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s.000505
">PROPOSITIO VIII.</
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8
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type
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statement
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<
s
id
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s.000506
">Si lineae perpendicularis, & inclinata ab eo
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lb
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dem puncto digressae, per quas idem grave
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lb
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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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<
figure
id
="
id.064.01.072.1.jpg
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xlink:href
="
064/01/072/1.jpg
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number
="
41
"/>
<
subchap2
n
="
8
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type
="
proof
">
<
p
type
="
main
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<
s
id
="
s.000507
">Sint rectae AB perpendicularis, & AC quomo
<
lb
/>
documque; inclinata per quas grave naturaliter
<
lb
/>
ducatur, sectae a BD normali ad AC declinantem.</
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</
p
>
<
p
type
="
main
">
<
s
id
="
s.000508
">Dico impetum in B ad impetum in D esse ut AB
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lb
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ad AD.</
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</
p
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<
p
type
="
main
">
<
s
id
="
s.000509
">Fiat BE dupla AB mensura impetus in B, & DF
<
lb
/>
dupla AD mensura impetus in D
<
arrow.to.target
n
="
marg131
"/>
.</
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>
</
p
>
<
p
type
="
margin
">
<
s
id
="
s.000510
">
<
margin.target
id
="
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"/>
Per 10. sexti.</
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</
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<
p
type
="
main
">
<
s
id
="
s.000511
">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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n
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marg133
"/>
<
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& proinde BE, DF sunt ut impetus in B & D
<
arrow.to.target
n
="
marg134
"/>
.</
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>
</
p
>
<
p
type
="
margin
">
<
s
id
="
s.000512
">
<
margin.target
id
="
marg132
"/>
Per 18. Quinti.</
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>
</
p
>
<
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type
="
margin
">
<
s
id
="
s.000513
">
<
margin.target
id
="
marg133
"/>
Per 16. Quinti.</
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type
="
margin
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<
s
id
="
s.000514
">
<
margin.target
id
="
marg134
"/>
Per pr. huius.</
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</
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>
<
p
type
="
main
">
<
s
id
="
s.000515
">At BE, DF sunt ut AB, AD per constr. quip
<
lb
/>
pe earum duplae. </
s
>
<
s
id
="
s.000516
">Igitur AB, AD sun t ut im
<
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/>
petus in B & D
<
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n
="
marg135
"/>
quod, etc.</
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>
</
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<
p
type
="
margin
">
<
s
id
="
s.000517
">
<
margin.target
id
="
marg135
"/>
Per cor. 3. huius.</
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>
</
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</
subchap2
>
<
subchap2
type
="
corollary
">
<
p
type
="
head
">
<
s
id
="
s.000518
">Corollarium</
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>
</
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<
p
type
="
main
">
<
s
id
="
s.000519
">Impetus sive velocitas in B ad impetum in D
<
lb
/>
est ut AC ad AB.</
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>
</
p
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</
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</
subchap1
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</
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</
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</
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