Problem 162 from Wernick's corpus: G, B, Hb


Problem

Given a point G, a point B and a point Hb, construct the triangle ABC.

Status

ArgoTriCS says that the problem is locus dependent.

Illustration

Figure of construction

Solution


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

    % DET: points B and Hb are not the same

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

  3. Using the point B, the line b and the point Hb, construct a line hB,2/3(b) (rule W15);

  4. Choose freely a point G on the line hB,2/3(b) (rule WOnline4)

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

  6. Choose freely a point A on the line b (rule WOnline1)

  7. Using the point A and the point Mb, construct a point C (rule W01);

animation
Construction in GCLC language

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