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Problem 286 from Wernick's corpus: O, Mb, Mc


Problem

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

Status

ArgoTriCS says that the problem is solvable.

Illustration

Figure of construction

Solution


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

    % DET: points O and Mb are not the same

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

    % DET: points O and Mc are not the same

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

  4. Using the point Mc and the line mc, construct a line c (rule W10a);

  5. Using the line c and the line b, construct a point A (rule W03);

    % NDG: lines c and b are not parallel

    % DET: lines c and b are not the same

  6. Using the point A and the point Mb, construct a point C (rule W01);

  7. Using the point Mc and the point A, construct a point B (rule W01);

animation
Construction in GCLC language

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