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Zaoldyeck Unregistered user |
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...)
[Edited 1 time, last edit on 6/25/2002 at 06:26 (GMT -5) by its author] |
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Jan Erik Administrator Last page view: 4 days, 22 hours, 54 minutes and 39 seconds ago. |
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 Moderator on this forum YASD Last page view: 3763 days, 16 hours and 45 minutes ago. |
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 Registered user Gravebane Zombie Last page view: 5670 days, 20 hours, 4 minutes and 44 seconds ago. |
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 Registered user Angel of Death Last page view: 7785 days, 6 hours, 3 minutes and 9 seconds ago. |
Its more like the monkeys + typewriters might equal shakespeare. THE MESSIAH,I'm here now,Worship me. |