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
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
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