Using the point H_b and the point H_c, construct a line H_bH_c (rule W02);

% DET: points H_b and H_c are not the same

Using the point H_b and the point T_b, construct a line b (rule W02);

% DET: points H_b and T_b are not the same

Using the point H_b and the line b, construct a line h_b (rule W10b);

Using the line b, the line H_bH_c, the point T_b, the point H_b and the point H_c, construct a line H_aH_b (rule W18);

% NDG: points T_b and H_b are not the same points H_b and H_c are not the same

% DET: points H_b and T_b are not the same

Using the point T_b, the point H_b and the point H_c, construct a circle circle[T_b,H_c,angle[s[b]][c]] (rule W20);

% NDG: points T_b and H_b are not the same points H_b and H_c are not the same points T_b and H_c are not the same

Using the circle circle[T_b,H_c,angle[s[b]][c]] and the line h_b, construct a point B_ca1 and a point B (rule W04);

% NDG: line h_b and circle circle[T_b,H_c,angle[s[b]][c]] intersect

Using the point B and the point H_c, construct a line c (rule W02);

% DET: points B and H_c are not the same

Using the line b and the line c, construct a point A (rule W03);

% NDG: lines b and c are not parallel

% DET: lines b and c are not the same

Using the point A and the point B, construct a point M_c (rule W01);

Using the point H_b and the point M_c, construct a circle k(M_c,A) (rule W06);

% NDG: points H_b and M_c are not the same

Using the circle k(M_c,A), the line H_aH_b, the point M_c and the point H_b, construct a point H_a (rule W05);

% NDG: line H_aH_b and circle k(M_c,A) intersect

% DET: points H_b and H_a must be different

Using the point B and the point H_a, construct a line a (rule W02);

% DET: points B and H_a are not the same

Using the line b and the line a, construct a point C (rule W03);

% NDG: lines b and a are not parallel

% DET: lines b and a are not the same