Problem 52:
Given a point $A$, a point $M_{b}$ and a point $G$, construct the triangle ABC.

Construction: 
1. Using the point $A$ and the point $M_{b}$, construct a point $C$ (rule W01);
2. Using the point $M_{b}$ and the point $G$, construct a point $B$ (rule W01);
3. Using the point $C$ and the point $A$, construct a point $\_M_{b}$ (rule W01);
4. Using the point $B$ and the point $C$, construct a point $\_M_{a}$ (rule W01);
5. Using the point $A$ and the point $\_M_{a}$ construct the line $\_t_{a}$ (rule W02);
6. Using the point $B$ and the point $\_M_{b}$ construct the line $\_t_{b}$ (rule W02);
7. Using the line $\_t_{a}$ and the line $\_t_{b}$ construct the point $\_G$ (rule W03);

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

