Ptolemy Theorem
- Author:
- Terry Tam
- Topic:
- Geometry
ABCD is a cyclic quadrilateral.
a) A and A' are the inversion points of each other. Prove that and
b) Applying result of a) on B and C (their corresponding inversion points are B' and C' with the same inversion circle), prove that and express B'C' in terms of r and sides of .
c) Applying the above results to another two triangles, prove the Ptolemy Theorem.