Problem 138 from Wernick's corpus: B, Ma, Ta


Problem

Given a point B, a point Ma and a point Ta, construct the triangle ABC.

Status

ArgoTriCS says that the problem is locus dependent.

Illustration

Figure of construction

Solution


  1. Using the point Ma and the point Ta, construct a line a (rule W02);

    % DET: points Ma and Ta are not the same

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

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

  4. Using the point B, the point C, the point Ta and the line a, construct a point T`a (rule W19);

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

  5. Choose freely a point A on the circle k_over(Ta,T`a) (rule WOncircle)

animation
Construction in GCLC language

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