Problem 345:
Given a point $M_{a}$, a point $M_{b}$ and a point $H_{c}$, construct the triangle ABC.

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

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

