Problem 213 from Wernick's corpus: C, Ma, Hb


Problem

Given a point C, a point Ma 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 Ma, construct a circle k(Ma,B) (rule W06);

    % NDG: points Hb and Ma are not the same

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

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

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

    % DET: points C and Hb are not the same

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

animation
Construction in GCLC language

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