Problem 94 from Wernick's corpus: A, Hc, Tc


Problem

Given a point A, a point Hc and a point Tc, 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 Tc, construct a line c (rule W02);

    % DET: points Hc and Tc are not the same

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

  3. Using the point Hc and the line c, construct a line hc (rule W10b);

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

  5. Choose freely a point C on the line hc (rule WOnline2)

animation
Construction in GCLC language

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