Problem 397:
Given a point $M_{b}$, a point $M_{c}$ and a point $H_{a}$, construct the triangle ABC.

Construction: 
1. Using the point $H_{a}$ and the point $M_{b}$, construct a circle $k(M_{b},C)$ (rule W06);
2. Using the point $H_{a}$ and the point $M_{c}$, construct a circle $k(M_{c},A)$ (rule W06);
3. Using the circle $k(M_{b},C)$, the circle $k(M_{c},A)$, the point $H_{a}$, the point $M_{b}$ and the point $M_{c}$, construct a point $A$ (rule W08);
4. Using the point $A$ and the point $M_{b}$, construct a point $C$ (rule W01);
5. Using the point $M_{c}$ and the point $A$, construct a point $B$ (rule W01);
6. Using the point $C$ and the point $A$, construct a point $\_M_{b}$ (rule W01);
7. Using the point $A$ and the point $B$, construct a point $\_M_{c}$ (rule W01);
8. Using the point $B$ and the point $C$ construct the line $\_a$ (rule W02);
9. Using the point $A$ and the line $\_a$ construct the line $\_h_{a}$ (rule W10b);
10. Using the line $\_a$ and the line $\_h_{a}$ construct the point $\_H_{a}$ (rule W03);

Statement:
Prove that the point $M_{b}$ is identical to the point $\_M_{b}$.

