Secant Secant Theorem
- $CA \cdot CD = CB \cdot CE$
From the Tangent Secant Theorem we have that:
- $CF^2 = CA \cdot CD$
- $CF^2 = CB \cdot CE$
from which the result is obvious and immediate.
Also known as
This result is also known as the intersecting secant theorem or just the secant theorem.
This result is a generalization of the Intersecting Chord Theorem where the point of intersection of the two lines is outside the circle.
The Power of a Point Theorem is a generalization of both.