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1992 CMO Problem: Cocircular Orthocenters
Let
,
,
,
be distinct points on a circle (black) centered at
. Let
be the orthocenter of triangle
and so on. You can show that the four orthocenters are cocircular and the circle (green) has the same radius as the original circle.
Contributed by:
Shenghui Yang
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This Demonstration is based on a problem from the 2nd Section of the Chinese Math Olympic National Final in 1992.
RELATED LINKS
Cyclic Quadrilateral
(
Wolfram
MathWorld
)
Orthocenter
(
Wolfram
MathWorld
)
PERMANENT CITATION
Shenghui Yang
"
1992 CMO Problem: Cocircular Orthocenters
"
http://demonstrations.wolfram.com/1992CMOProblemCocircularOrthocenters/
Wolfram Demonstrations Project
Published: June 18, 2012
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