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Problem 354 from Wernick's corpus: Ma, Mc, Hc


Problem

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

Status

ArgoTriCS says that the problem is solvable.

Illustration

Figure of construction

Solution


  1. Using the point Mc and the point Hc, construct a line c (rule W02);

    % DET: points Mc and Hc are not the same

  2. Using the point Hc and the point Ma, construct a circle k(Ma,B) (rule W06);

    % NDG: points Hc and Ma are not the same

  3. Using the circle k(Ma,B), the line c, the point Ma and the point Hc, construct a point B (rule W05);

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

    % DET: points Hc 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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