The figure shows a triangle ABC with the
altitudes AA_{1}, BB_{1}, and CC_{1}. CB and B_{1}C_{1}
extended meet at A_{2}, AC and C_{1}A_{1}
extended meet at B_{2},
AB and B_{1}A_{1} extended meet at C_{2}.
Prove that points A_{2}, C_{2}, and B_{2}
are collinear on a line called Orthic Axes.
Note: The triangle A_{1}B_{1}C_{1 }
is called the orthic triangle of the triangle ABC.
Geometry Problem 1232 in Motion
Click on the figure below.
