Angle Bisector for an Angle Subtended by a Tangent Line

​
∠DAC
≈
43.09°
∠BAC
≈
43.09°
Let a circle be internally tangent to another circle at the point A. Draw a tangent line through a point C on the inner circle and let D and B be its points of intersection with the outer circle. Then AC bisects
∠
DAB.
Drag the orange point to change the figure.

External Links

Angle Bisector (Wolfram MathWorld)
Circle Tangent Line (Wolfram MathWorld)
Tangent Circles (Wolfram MathWorld)

Permanent Citation

Jay Warendorff
​
​"Angle Bisector for an Angle Subtended by a Tangent Line"​
​http://demonstrations.wolfram.com/AngleBisectorForAnAngleSubtendedByATangentLine/​
​Wolfram Demonstrations Project​
​Published: March 7, 2011