Problem 224 from Wernick's corpus: C, Mb, Hc


Problem

Given a point C, a point Mb and a point Hc, construct the triangle ABC.

Status

ArgoTriCS says that the problem is locus dependent.

Illustration

Figure of construction

Solution


  1. Using the point Hc and the point Mb, construct a circle k(Mb,C) (rule W06);

    % NDG: points Hc and Mb are not the same

  2. Choose freely a point C on the circle k(Mb,C) (rule WOncircle)

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

  4. Using the point Hc and the point A, construct a line c (rule W02);

    % DET: points Hc and A are not the same

  5. Choose freely a point B on the line c (rule WOnline1)

animation
Construction in GCLC language

Back to the list of problems