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Problem 85 from Wernick's corpus: A, Hb, Hc


Problem

Given a point A, a point Hb and a point Hc, construct the triangle ABC.

Status

ArgoTriCS says that the problem is solvable.

Illustration

Figure of construction

Solution


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

    % DET: points A and Hb are not the same

  2. Using the point A and the point Hc, construct a line c (rule W02);

    % DET: points A and Hc are not the same

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

  4. Using the line hb and the line c, construct a point B (rule W03);

    % NDG: lines hb and c are not parallel

    % DET: lines hb and c are not the same

  5. Using the point Hc and the line c, construct a line hc (rule W10b);

  6. Using the line hc and the line b, construct a point C (rule W03);

    % NDG: lines hc and b are not parallel

    % DET: lines hc and b are not the same

animation
Construction in GCLC language

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