Problem 58 from Wernick's corpus: A, Mb, Tb


Problem

Given a point A, a point Mb and a point Tb, construct the triangle ABC.

Status

ArgoTriCS says that the problem is locus dependent.

Illustration

Figure of construction

Solution


  1. Using the point Mb and the point Tb, construct a line b (rule W02);

    % DET: points Mb and Tb are not the same

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

  3. Using the point A and the point Mb, construct a point C (rule W01);

  4. Using the point A, the point C, the point Tb and the line b, construct a point T`b (rule W19);

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

  5. Choose freely a point B on the circle k_over(Tb,T`b) (rule WOncircle)

animation
Construction in GCLC language

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