Four Concyclic Points
Let ABC be a triangle and H the foot of the altitude from B. Let M be the midpoint of AC. Let P and Q be the feet of the perpendiculars from A and C to the angle bisector of the angle ABC. Then H, M, P and Q lie on a circle.
After work by:
THINGS TO TRY
D. Grinberg, "From Baltic Way to Feuerbach: A Geometrical Excursion,"
(2), 2000 p. 2.
Four Concyclic Points
Wolfram Demonstrations Project
Published: April 2, 2008
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An Altitude and Four Concyclic Points
Concyclic Points Derived from Midpoints of Altitudes
Concyclic Points Associated with an Angle Bisector and an Excircle
Concyclic Points from Reflections of the Circumcenter about the Altitudes
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Four Collinear Points Related to the Altitudes
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A Relation between Altitudes of Four Triangles
High School Geometry
High School Mathematics
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