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Problem 368 from Wernick's corpus: Ma, Ha, Hb


Problem

Given a point Ma, a point Ha and a point Hb, 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 Hb and the point Ma, construct a circle k(Ma,B) (rule W06);

    % NDG: points Hb and Ma are not the same

  3. Using the circle k(Ma,B) and the line a, construct a point B and a point C (rule W04);

    % NDG: line a and circle k(Ma,B) intersect

  4. Using the point Hb and the point C, construct a line b (rule W02);

    % DET: points Hb and C are not the same

  5. Using the point Ha and the line a, construct a line ha (rule W10b);

  6. Using the line b and the line ha, construct a point A (rule W03);

    % NDG: lines b and ha are not parallel

    % DET: lines b and ha are not the same

animation
Construction in GCLC language

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