Difference between revisions of "1961 IMO Problems/Problem 6"
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Revision as of 20:17, 25 October 2007
Problem
Consider a plane 
and three non-collinear points 
on the same side of ; suppose the plane determined by these three points is not parallel to . In plane take three arbitrary points 
. Let 
be the midpoints of segments 
; Let 
be the centroid of the triangle 
. (We will not consider positions of the points 
such that the points do not form a triangle.) What is the locus of point as range independently over the plane ?
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
| 1961 IMO (Problems) • Resources | ||
| Preceded by Problem 5 |
1 • 2 • 3 • 4 • 5 • 6 | Followed by Last question |
| All IMO Problems and Solutions | ||
