Problem 72:
Given a point $A$, a point $G$ and a point $H_{c}$, construct the triangle ABC.

Construction: 
1. Using the point $A$ and the point $G$, construct a point $M_{a}$ (rule W01);
2. Using the point $A$ and the point $H_{c}$, construct a line $c$ (rule W02);
3. Using the point $H_{c}$ and the point $M_{a}$, construct a circle $k(M_{a},B)$ (rule W06);
4. Using the circle $k(M_{a},B)$, the line $c$, the point $M_{a}$ and the point $H_{c}$, construct a point $B$ (rule W05);
5. Using the point $G$ and the point $B$, construct a point $M_{b}$ (rule W01);
6. Using the point $A$ and the point $M_{b}$, construct a point $C$ (rule W01);
7. Using the point $C$ and the point $A$, construct a point $\_M_{b}$ (rule W01);
8. Using the point $B$ and the point $C$, construct a point $\_M_{a}$ (rule W01);
9. Using the point $A$ and the point $\_M_{a}$ construct the line $\_t_{a}$ (rule W02);
10. Using the point $B$ and the point $\_M_{b}$ construct the line $\_t_{b}$ (rule W02);
11. Using the line $\_t_{a}$ and the line $\_t_{b}$ construct the point $\_G$ (rule W03);
12. Using the point $A$ and the point $B$ construct the line $\_c$ (rule W02);
13. Using the point $C$ and the line $\_c$ construct the line $\_h_{c}$ (rule W10b);
14. Using the line $\_c$ and the line $\_h_{c}$ construct the point $\_H_{c}$ (rule W03);

Statement:
Prove that the point $G$ is identical to the point $\_G$.

