Problem 68 from Wernick's corpus: A, Mc, Tc


Problem

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

    % DET: points Mc and Tc are not the same

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

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

  4. Using the point A, the point B, the point Tc and the line c, construct a point T`c (rule W19);

    % NDG: points A and B are not the same points B and Tc are not the same points B and midpoint([A,Tc]) are not the same

  5. Choose freely a point C on the circle k_over(Tc,T`c) (rule WOncircle)

animation
Construction in GCLC language

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