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Problem 308 from Wernick's corpus: O, G, H


Problem

Given a point O, a point G and a point H, construct the triangle ABC.

Status

ArgoTriCS says that the problem is redundant.

Illustration

Figure of construction

Solution


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

  2. Choose freely a point A (rule free)

  3. Using the point A and the point G, construct a point Ma (rule W01);

  4. Using the point A and the point H, construct a line ha (rule W02);

    % DET: points A and H are not the same

  5. Using the point A and the point O, construct a circle k(O,C) (rule W06);

    % NDG: points A and O are not the same

  6. Using the point Ma and the line ha, construct a line a (rule W10a);

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

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

animation
Construction in GCLC language

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