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Problem 202 from Wernick's corpus: C, O, Hb


Problem

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

Status

ArgoTriCS says that the problem is solvable.

Illustration

Figure of construction

Solution


  1. Using the point C and the point Hb, construct a line b (rule W02);

    % DET: points C and Hb are not the same

  2. 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

  3. Using the circle k(O,C), the line b, the point O and the point C, construct a point A (rule W05);

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

    % DET: points C and A must be different

  4. Using the point Hb and the line b, construct a line hb (rule W10b);

  5. Using the circle k(O,C) and the line hb, construct a point Bk and a point B (rule W04);

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

animation
Construction in GCLC language

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