Problem 353:
Given a point $M_{a}$, a point $M_{c}$ and a point $H_{b}$, construct the triangle ABC.

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

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

