Apollonius Point

Consider the Excircles , , and of a Triangle, and the Circle internally Tangent to all three. Denote the contact point of and by , etc. Then theLines , , and Concur in this point. It has Triangle CenterFunction

References

Kimberling, C. ``Apollonius Point.''http://cedar.evansville.edu/~ck6/tcenters/recent/apollon.html.

Kimberling, C. ``Central Points and Central Lines in the Plane of a Triangle.'' Math. Mag. 67, 163-187, 1994.

Kimberling, C.; Iwata, S.; and Hidetosi, F. ``Problem 1091 and Solution.'' Crux Math. 13, 128-129 and 217-218, 1987.

• Primitive Irreducible Polynomial
• Primitive Polynomial Modulo 2
• Primitive Prime Factor
• Primitive Pseudoperfect Number
• Primitive Recursive Function
• Primitive Root
• Primitive Root of Unity
• Primitive Semiperfect Number
• Primitive Sequence
• Primorial
• Prince Rupert's Cube
• Principal
• Principal Curvatures
• Principal Curve
• Principal Direction
• Principal Ideal
• Principal Normal Vector
• Principal Quintic Form
• Principal Radius of Curvature
• Principal Value
• Principal Vector
• Principal Vertex
• Principle
• Pringsheim's Theorem
• Printer's Errors