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Zaoldyeck
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Posted on Tuesday, June 25, 2002 at 06:22 (GMT -5)

A question from 1996 Balkan Math Olympiad -
Let O & G be the circumcenter and centroid of triangle ABC, respectively. If R is the circumradius and r is the inradius of ABC, then show that OG is smaller or equal to the square root of R(R-2r)

(try this ^.^, there're at least two very different ways of solving...)

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[Edited 1 time, last edit on 6/25/2002 at 06:26 (GMT -5) by its author]
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Jan Erik
Administrator

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4 days, 22 hours, 54 minutes and 39 seconds ago.
Posted on Tuesday, June 25, 2002 at 08:45 (GMT -5)

I was never any good at these sorts of problems, besides I'm afraid I don't know (the englich names for) half the mathemathical terms you use...

So I guess I'll pass... Any of our more achademic members care to save the day? :p


Jan Erik Mydland
HoF admin
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Iridia
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YASD


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3763 days, 16 hours and 45 minutes ago.
Posted on Tuesday, June 25, 2002 at 13:52 (GMT -5)

Dang it, ask me in about another semester, when I've finished Calculus III and actually know what those terms mean...


Die Gedanken sind Frei
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Duke Ravage
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Gravebane Zombie


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5670 days, 20 hours, 4 minutes and 44 seconds ago.
Posted on Tuesday, June 25, 2002 at 14:43 (GMT -5)

give me an indefinite number of years and there's a small chance i'll try answering it... geometry doesn't help me much here.


ivan.sourceforge.net
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Tha Messiah
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Angel of Death


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7785 days, 6 hours, 3 minutes and 9 seconds ago.
Posted on Friday, June 28, 2002 at 14:00 (GMT -5)

Its more like the monkeys + typewriters might equal shakespeare.


THE MESSIAH,I'm here now,Worship me.

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