SEEMOUS 2010- problema 2

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Radu Titiu
Thales
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Joined: Fri Sep 28, 2007 5:05 pm
Location: Mures \Bucuresti

SEEMOUS 2010- problema 2

Post by Radu Titiu »

In interiorul unui patrat consideram cercuri a.i. suma circumferintelor lor e dublul perimetrului patratului.

a)Gasiti numarul minim de astfel de cercuri.

b)Aratati ca exista o infinitate de drepte care intersecteaza cel putin 3 astfel de cercuri.
A mathematician is a machine for turning coffee into theorems.
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