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Problem 352 from Wernick's corpus: Ma, Mc, Ha


Problem

Given a point Ma, a point Mc and a point Ha, construct the triangle ABC.

Status

ArgoTriCS says that the problem is solvable.

Illustration

Figure of construction

Solution


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

    % DET: points Ma and Ha are not the same

  2. Using the point Ha and the point Mc, construct a circle k(Mc,A) (rule W06);

    % NDG: points Ha and Mc are not the same

  3. Using the circle k(Mc,A), the line a, the point Mc and the point Ha, construct a point B (rule W05);

    % NDG: line a and circle k(Mc,A) intersect

    % DET: points Ha and B must be different

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

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

animation
Construction in GCLC language

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