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Problem 200 from Wernick's corpus: C, O, G


Problem

Given a point C, a point O and a point G, 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 G, construct a point Mc (rule W01);

  2. Using the point O and the point G, construct a point H (rule W01);

  3. Using the point C and the point H, construct a line hc (rule W02);

    % DET: points C and H are not the same

  4. 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

  5. Using the point Mc and the line hc, construct a line c (rule W10a);

  6. 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

animation
Construction in GCLC language

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