<?xml version="1.0" encoding="UTF-8"?>
<GeoDraw_example><Commands>Define:
	D=point(0,0)
	A=point(u1=-0.8,0)
	I=point(0,u2=0.9)
	B=point(u3=2,0)
	C=point(x1,x2)
	A1=point(x3,x4)
	A2=point(x5,x6)
	A3=point(x7,0)
	N=point(x8,x9)
Constrain:
	equiangle(C,B,I,I,B,A)
	equiangle(C,A,I,I,A,B)
	midpoint(B,C,A1)
	midpoint(A,C,A2)
	midpoint(A,B,A3)
	circumcenter(A1,A2,A3,N)
	pointonsameside(A,B, C, I)
	pointonsameside(A,C, B, I)
	pointonsameside(C,B, A, I)
Display:
	triangle(A ,B ,C )
        circle(I,D)
	circle(N,A1)
        segment(A,I)
	segment(B,I)
	segment(I,D)</Commands><Results><result0>["(u2 !=0&amp;&amp;u1*u3+u2^2&lt;0&amp;&amp;u3+u2!=0&amp;&amp;u3-u2!=0)", x1 = u2^2*(u1+u3)/(u3*u1+u2^2), x2 = -2*u2*u3*(-x1+u3)/(-u3^2+u2^2), x3 = 1/2*u3+1/2*x1, x4 = 1/2*x2, x5 = 1/2*u1+1/2*x1, x6 = 1/2*x2, x7 = 1/2*u1+1/2*u3, x8 = 1/2*x3+1/2*x5, x9 = 1/4*(8*x8*x7-8*x5*x8-4*x7^2+4*x5^2+x2^2)/x2]
</result0></Results></GeoDraw_example>
