# The Gergonne Point

- Author:
- Jeffrey P. Smith

## INSTRUCTIONS

1. Construct a tangent line for each of the three points showing on the circle.
2. Construct the triangle formed by the three tangents.
3. Construct line segments from each vertex to an opposite point of tangency.
4. Grab and drag one of the three original (blue) points.

*What do you notice? Try to prove your conjecture(s).*