Problem 154 from Wernick's corpus: B, Mc, Hb


Problem

Given a point B, a point Mc 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 Hb and the point Mc, construct a circle k(Mc,A) (rule W06);

    % NDG: points Hb and Mc are not the same

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

  3. Using the point B and the point Mc, construct a point A (rule W01);

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

    % DET: points Hb and A are not the same

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

animation
Construction in GCLC language

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