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

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1
PROPOSITIO VII. PROBL. III.
Dato canali perpendiculari, & alio inclinato
eiusdem longitudinis; reperire proporĀ­
tiones aquarum.68[Figure 68]
Sint canalia AC inclinatum, & AB perpenĀ­
diculare aequalia, & venanda sit proportio
inter aquas AB, AC.
Ducatur BD perpendicularis ad AC, & fiat
AE media proportionalis inter AD, AC.
Dico esse aquam AB ad aquam AC ut AD ad
AE.
Quoniam aqua AD ad aquam AC est ut AD
ad AE, sed aqua AD est aequalis aquae AB,
ergo aqua AB ad aquam AC est ut AD ad
AE: Quod etc.
Per 6. huius.
Per 3. huius.
Per 11. quinti.

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