proof of Thales’ theorem

Let M be the center of the circle through A, B and C.

Then AM=BM=CM and thus the triangles AMC and BMC are isosceles. If BMC=:α then MCB=90-α2 and CMA=180-α. Therefore ACM=α2 and



Title proof of Thales’ theorem
Canonical name ProofOfThalesTheorem
Date of creation 2013-03-22 12:45:27
Last modified on 2013-03-22 12:45:27
Owner mathwizard (128)
Last modified by mathwizard (128)
Numerical id 6
Author mathwizard (128)
Entry type Proof
Classification msc 51-00