Problem 261:
Given a point $C$, a point $H_{c}$ and a point $T_{a}$, construct the triangle ABC.

Construction: 
1. Using the point $C$ and the point $H_{c}$, construct a line $h_{c}$ (rule W02);
2. Using the point $C$ and the point $T_{a}$, construct a line $a$ (rule W02);
3. Using the point $H_{c}$ and the line $h_{c}$, construct a line $c$ (rule W10a);
4. Using the line $c$ and the line $a$, construct a point $B$ (rule W03);
5. Using the point $B$, the point $C$, the point $T_{a}$ and the line $a$, construct a point $T`_{a}$ (rule W19);
6. Using the point $T_{a}$ and the point $T`_{a}$, construct a circle $k_over(T_{a},T`_{a})$ (rule W09);
7. Using the circle $k_over(T_{a},T`_{a})$ and the line $c$, construct a point $A_{wb}$ and a point $A$ (rule W04);
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);
11. Using the point $A$ and the point $C$ construct the line $\_b$ (rule W02);
12. Using the point $B$, the point $A$ and the point $C$ and the line $\_c$ and the line $\_b$ construct the angle bisector $\_s_{a}$ (rule W17);
13. Using the point $B$ and the point $C$ construct the line $\_a$ (rule W02);
14. Using the line $\_s_{a}$ and the line $\_a$ construct the point $\_T_{a}$ (rule W03);

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

