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Problem 126 from Wernick's corpus: B, O, H


Problem

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

Status

ArgoTriCS says that the problem is solvable.

Illustration

Figure of construction

Solution


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

  2. Using the point B and the point G, construct a point Mb (rule W01);

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

    % DET: points B and H are not the same

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

    % NDG: points B and O are not the same

  5. Using the point Mb and the line hb, construct a line b (rule W10a);

  6. Using the circle k(O,C) and the line b, construct a point C and a point A (rule W04);

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

animation
Construction in GCLC language

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