satisfy that: 
and natural number 
,
Y by centslordm
Given an isosceles triangle 
(
). Circle 
with center at point 
it tangent to the line 
at point 
and to the extension of the side 
beyond point 
at point 
. Prove that theintersection point of lines 
and 
lies on the circle
(
). Circle 
with center at point 
it tangent to the line 
at point 
and to the extension of the side 
beyond point 
at point 
. Prove that theintersection point of lines 
and 
lies on the circle This post has been edited 1 time. Last edited by parmenides51, Jul 26, 2021, 3:06 PM
Reason: country typo
Reason: country typo
.
cuts the bisector of 
in the point 
.
.
cuts the x-axis in the point 
.![$O\ :\ [x-(\frac{a^{2}}{b}+2b)]^{2}+(y-a)^{2}=(\frac{a^{2}}{b})^{2}+a^{2}$](http://latex.artofproblemsolving.com/6/4/2/642ad3856791d16a4c6c9d7c64c4570d4f8a4261.png)
.
