Problem 53 from Wernick's corpus: A, Mb, Ha


Problem

Given a point A, a point Mb 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 Ha and the point Mb, construct a circle k(Mb,C) (rule W06);

    % NDG: points Ha and Mb are not the same

  2. Choose freely a point A on the circle k(Mb,C) (rule WOncircle)

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

  4. Using the point Ha and the point C, construct a line a (rule W02);

    % DET: points Ha and C are not the same

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

animation
Construction in GCLC language

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