Problem 443 from Wernick's corpus: G, Mc, Hc


Problem

Given a point G, a point Mc 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 Mc and the point Hc, construct a line c (rule W02);

    % DET: points Mc and Hc are not the same

  2. Using the point Hc and the line c, construct a line hc (rule W10b);

  3. Using the point Mc, the line hc and the point Hc, construct a line hMc,1/3(hc) (rule W15);

  4. Choose freely a point G on the line hMc,1/3(hc) (rule WOnline4)

  5. Using the point G and the point Mc, construct a point C (rule W01);

  6. Choose freely a point A on the line c (rule WOnline1)

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

animation
Construction in GCLC language

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