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

Choose freely a point H_a on the circle k(M_c,A) (rule WOncircle)

Using the point H_a and the point M_c, construct a line m(H_aM_c) (rule W14);

% DET: points H_a and M_c are not the same

Using the point H_a and the point H_b, construct a line m(H_aH_b) (rule W14);

% DET: points H_a and H_b are not the same

Using the line m(H_aH_b) and the line m(H_aM_c), construct a point N (rule W03);

% NDG: lines m(H_aH_b) and m(H_aM_c) are not parallel

% DET: lines m(H_aH_b) and m(H_aM_c) are not the same

Choose freely a point A on the circle k(M_c,A) (rule WOncircle)

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

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

% DET: points A and H_a are not the same

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

% DET: points H_b and B are not the same

Using the line h_a and the line h_b, construct a point H (rule W03);

% NDG: lines h_a and h_b are not parallel

% DET: lines h_a and h_b are not the same

Using the point N and the point H, construct a point G (rule W01);

Using the point M_c and the point G, construct a point C (rule W01);