Problem 149:
Given a point $B$, a point $M_{b}$ and a point $T_{b}$, construct the triangle ABC.

Construction: 
1. Using the point $B$ and the point $T_{b}$, construct a line $s_{b}$ (rule W02);
2. Using the point $M_{b}$ and the point $T_{b}$, construct a line $b$ (rule W02);
3. Using the point $M_{b}$ and the line $b$, construct a line $m_{b}$ (rule W10b);
4. Using the line $m_{b}$ and the line $s_{b}$, construct a point $N_{b}$ (rule W03);
5. Using the point $B$ and the point $N_{b}$, construct a line $m(BN_{b})$ (rule W14);
6. Using the line $m(BN_{b})$ and the line $m_{b}$, construct a point $O$ (rule W03);
7. Using the point $B$ and the point $O$, construct a circle $k(O,C)$ (rule W06);
8. Using the circle $k(O,C)$ and the line $b$, construct a point $C$ and a point $A$ (rule W04);
9. Using the point $C$ and the point $A$, construct a point $\_M_{b}$ (rule W01);
10. Using the point $A$ and the point $B$ construct the line $\_c$ (rule W02);
11. Using the point $B$ and the point $C$ construct the line $\_a$ (rule W02);
12. Using the point $C$, the point $B$ and the point $A$ and the line $\_a$ and the line $\_c$ construct the angle bisector $\_s_{b}$ (rule W17);
13. Using the point $A$ and the point $C$ construct the line $\_b$ (rule W02);
14. Using the line $\_s_{b}$ and the line $\_b$ construct the point $\_T_{b}$ (rule W03);

Statement:
Prove that the point $B$ is identical to the point $B$.

