Circumradii Perpendicular to the Sides of the Orthic Triangle

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The radii from the center O of the circumcircle of a triangle to its vertices are perpendicular to the corresponding sides of the orthic triangle.

Details

See Theorem 188 in N. Altshiller-Court, College Geometry, Mineola, NY: Dover, 2007 p. 98.

External Links

Circumcircle (Wolfram MathWorld)
Circumradius (Wolfram MathWorld)
Orthic Triangle (Wolfram MathWorld)
Perpendicular (Wolfram MathWorld)

Permanent Citation

Jay Warendorff
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​"Circumradii Perpendicular to the Sides of the Orthic Triangle"​
​http://demonstrations.wolfram.com/CircumradiiPerpendicularToTheSidesOfTheOrthicTriangle/​
​Wolfram Demonstrations Project​
​Published: March 7, 2011