Baliani, Giovanni Battista
,
De motv natvrali gravivm solidorvm et liqvidorvm
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064/01/094.jpg
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7
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type
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proposition
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<
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s.000706
">PROPOSITIO VII.</
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7
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type
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statement
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<
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id
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s.000707
">Grave naturaliter motum velocius ad idem
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ducitur punctum duabus lineis, quam una
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tantum.</
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n
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7
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proof
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<
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id
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id.064.01.094.1.jpg
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xlink:href
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064/01/094/1.jpg
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number
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55
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<
s
id
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s.000708
">Progrediatur grave per AB in B.</
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main
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<
s
id
="
s.000709
">Dico quod citius perveniet in B motum per
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A CB.</
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</
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type
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<
s
id
="
s.000710
">Protrahatur BC, puta in D; & ab A in BD de
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mittatur normalis AE.</
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<
s
id
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">Quoniam grave per BC pariter movetur, ductum per
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A CB, ac per DB
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, & per eamdem CB ve
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locius fertur digressum a D quam ab E
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, per
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illam itidem velocius fertur motum per ACB,
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quam per EB, sed per A C aeque velociter fer
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tur ac per CE,
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ergo per totum ACB velocius
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fertur quam per EB; sed aequali tempore fer
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tur per EB ac per AB
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; ergo per ACB ve
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locius fertur quam per AB. </
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<
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id
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">Quod etc.</
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margin
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<
s
id
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s.000713
">
<
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="
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Per pr. huius.</
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p
type
="
margin
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<
s
id
="
s.000714
">
<
margin.target
id
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marg176
"/>
Per 2. peti.</
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type
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margin
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id
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s.000715
">
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Per 19. pr. huius.</
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id
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s.000716
">
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Per 19. pr. huius.</
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corollary
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type
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head
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<
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id
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s.000717
">Corollarium.</
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">
<
s
id
="
s.000718
">Hinc est, quod si motus fuerit per ACB, im
<
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petus in B est maior ac si fuisset per AB
<
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secundum proportionem AB ad EB.</
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>
</
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</
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