Problem 70 from Wernick's corpus: G, A, Ha


Problem

Given a point G, a point A and a point Ha, construct the triangle ABC.

Status

ArgoTriCS says that the problem is locus dependent.

Illustration

Figure of construction

Solution


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

    % DET: points A and Ha are not the same

  2. Using the point Ha and the line ha, construct a line a (rule W10a);

  3. Using the point A, the line a and the point Ha, construct a line hA,2/3(a) (rule W15);

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

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

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

  7. Using the point B and the point Ma, construct a point C (rule W01);

animation
Construction in GCLC language

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