Problem 203 from Wernick's corpus

Problem 203 from Wernick's corpus: C, O, H_c

Given a point C, a point O and a point H_c, construct the triangle ABC.

ArgoTriCS says that the problem is solvable.

Using the point C and the point H_c, construct a line h_c (rule W02);

% DET: points C and H_c are not the same
Using the point C and the point O, construct a circle k(O,C) (rule W06);

% NDG: points C and O are not the same
Using the point H_c and the line h_c, construct a line c (rule W10a);
Using the circle k(O,C) and the line c, construct a point A and a point B (rule W04);

% NDG: line c and circle k(O,C) intersect