Problem 289 from Wernick's corpus: O, Mb, Hb


Problem

Given a point O, a point Mb and a point Hb, construct the triangle ABC.

Status

ArgoTriCS says that the problem is locus dependent.

Illustration

Figure of construction

Solution


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

    % DET: points Mb and Hb are not the same

  2. Using the point Mb and the line b, construct a line mb (rule W10b);

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

  4. Using the point Hb and the line b, construct a line hb (rule W10b);

  5. Choose freely a point A on the line b (rule WOnline1)

  6. Using the point A and the point Mb, construct a point C (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 hb, construct a point Bk and a point B (rule W04);

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

animation
Construction in GCLC language

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