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Math Help - Difficult geometry problem

  1. #1
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    Difficult geometry problem

    Point H is arbitrary picked on the diameter AB of a circle with center O. Another circle is inscribed as the picture shows. EH is perpendicular to AB. Prove that EC bisects HEB.

    http://img175.imageshack.us/img175/9498/geomxa3.png
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  2. #2
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    difficult geometry problem

    posted by math wizard.7-07-08
    at the point of tangency of the small circle@EH erect a perpendular meetingthe other side of small circle@F, at that point drop a perpendicular to OB @D

    It is easy to prove EC bisects triangle EHD.EC also bisects HEB approx.


    bjh
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