Problem 207:
Given a point $C$, a point $O$ and a point $T_{c}$, construct the triangle ABC.

Construction: 
1. Using the point $C$ and the point $T_{c}$, construct a line $s_{c}$ (rule W02);
2. Using the point $C$ and the point $O$, construct a circle $k(O,C)$ (rule W06);
3. Using the circle $k(O,C)$, the line $s_{c}$, the point $O$ and the point $C$, construct a point $N_{c}$ (rule W05);
4. Using the point $N_{c}$ and the point $O$, construct a line $m_{c}$ (rule W02);
5. Using the point $T_{c}$ and the line $m_{c}$, construct a line $c$ (rule W10a);
6. Using the circle $k(O,C)$ and the line $c$, construct a point $A$ and a point $B$ (rule W04);
7. Using the point $A$ and the point $C$ construct the line $\_b$ (rule W02);
8. Using the point $C$ and the point $A$, construct a point $\_M_{b}$ (rule W01);
9. Using the point $B$ and the point $C$ construct the line $\_a$ (rule W02);
10. Using the point $B$ and the point $C$, construct a point $\_M_{a}$ (rule W01);
11. Using the point $\_M_{a}$ and the line $\_a$ construct the line $\_m_{a}$ (rule W10b);
12. Using the point $\_M_{b}$ and the line $\_b$ construct the line $\_m_{b}$ (rule W10b);
13. Using the line $\_m_{a}$ and the line $\_m_{b}$ construct the point $\_O$ (rule W03);
14. Using the point $A$, the point $C$ and the point $B$ and the line $\_b$ and the line $\_a$ construct the angle bisector $\_s_{c}$ (rule W17);
15. Using the point $A$ and the point $B$ construct the line $\_c$ (rule W02);
16. Using the line $\_s_{c}$ and the line $\_c$ construct the point $\_T_{c}$ (rule W03);

Statement:
Prove that the point $T_{c}$ is identical to the point $\_T_{c}$.

