Problem 278 from Wernick's corpus: O, Ma, Ha


Problem

Given a point O, a point Ma and a point Ha, 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 Ha, construct a line a (rule W02);

    % DET: points Ma and Ha are not the same

  2. Using the point Ma and the line a, construct a line ma (rule W10b);

  3. Choose freely a point O on the line ma (rule WOnline2)

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

  5. Choose freely a point A on the line ha (rule WOnline2)

  6. Using the point A and the point O, construct a circle k(O,C) (rule W06);

    % NDG: points A and O are not the same

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

    % NDG: line a and circle k(O,C) intersect

animation
Construction in GCLC language

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