Problem 450:
Given a point $M_{c}$, a point $H_{a}$ and a point $H_{c}$, construct the triangle ABC.

Construction: 
1. Using the point $M_{c}$ and the point $H_{c}$, construct a line $c$ (rule W02);
2. Using the point $H_{a}$ and the point $M_{c}$, construct a circle $k(M_{c},A)$ (rule W06);
3. Using the circle $k(M_{c},A)$ and the line $c$, construct a point $A$ and a point $B$ (rule W04);
4. Using the point $H_{a}$ and the point $B$, construct a line $a$ (rule W02);
5. Using the point $H_{c}$ and the line $c$, construct a line $h_{c}$ (rule W10b);
6. Using the line $a$ and the line $h_{c}$, construct a point $C$ (rule W03);
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);
11. Using the point $A$ and the point $B$ construct the line $\_c$ (rule W02);
12. Using the point $C$ and the line $\_c$ construct the line $\_h_{c}$ (rule W10b);
13. Using the line $\_c$ and the line $\_h_{c}$ construct the point $\_H_{c}$ (rule W03);

Statement:
Prove that the point $H_{a}$ is identical to the point $\_H_{a}$.

