Problem 214 from Wernick's corpus: C, Ma, Hc


Problem

Given a point C, a point Ma and a point Hc, construct the triangle ABC.

Status

ArgoTriCS says that the problem is locus dependent.

Illustration

Figure of construction

Solution


  1. Using the point Hc and the point Ma, construct a circle k(Ma,B) (rule W06);

    % NDG: points Hc 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 Hc and the point B, construct a line c (rule W02);

    % DET: points Hc and B are not the same

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

animation
Construction in GCLC language

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