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A Line Parallel to a Side of a Triangle
Let ABC be a triangle. Let AD, BE, and CF be the altitudes and M be the midpoint of BC. Let the circumcircle of AEF meet AM at X, let AM meet CF at Y, and let AD meet BX at Z. Then YZ is parallel to BC.
Contributed by:
Jay Warendorff
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RELATED LINKS
Altitude
(
Wolfram
MathWorld
)
Circumcircle
(
Wolfram
MathWorld
)
Midpoint
(
Wolfram
MathWorld
)
Parallel
(
Wolfram
MathWorld
)
Parallel Lines
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
A Line Parallel to a Side of a Triangle
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/ALineParallelToASideOfATriangle/
Contributed by:
Jay Warendorff
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