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Problem 287 from Wernick's corpus: O, Mb, G


Problem

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

Status

ArgoTriCS says that the problem is solvable.

Illustration

Figure of construction

Solution


  1. Using the point Mb and the point G, construct a point B (rule W01);

  2. Using the point O and the point Mb, construct a line mb (rule W02);

    % DET: points O and Mb are not the same

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

    % NDG: points B and O are not the same

  4. Using the point Mb and the line mb, construct a line b (rule W10a);

  5. Using the circle k(O,C) and the line b, construct a point C and a point A (rule W04);

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

animation
Construction in GCLC language

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