Dear friends:
A concurrency at X1659.
Given a triangle ABC, construct the circles with BC, CA, AB as diameters, then construct the three circles touching internally two of them and externally the third one. The lines joining the centers of these triangles and the corresponding vertices concur at X1659 (Yiu-Paasche point).
See:
http://garciacapitan.blogspot.com.es/2013/02/a-concurrency-at-x1659.html
Love for everybody,
Francisco Javier García Capitán
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