Problem 370 from Wernick's corpus: Ma, Ha, H


Problem

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

Status

ArgoTriCS says that the problem is locus dependent.

Illustration

Figure of construction

Solution


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

    % DET: points Ha and H are not the same

  2. Using the point Ha and the line ha, construct a line a (rule W10a);

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

  4. Choose freely a point A on the line ha (rule WOnline1)

  5. Using the point A and the point Ma, construct a point G (rule W01);

  6. Using the point H and the point G, construct a point O (rule W01);

  7. 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

  8. 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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