Back to the list of problems

Problem 26 from Wernick's corpus: A, C, Tc


Problem

Given a point A, a point C and a point Tc, construct the triangle ABC.

Status

ArgoTriCS says that the problem is solvable.

Illustration

Figure of construction

Solution


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

    % DET: points A and C are not the same

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

    % DET: points A and Tc are not the same

  3. Using the point Tc and the line b, construct a circle k(Tc,foot[Tc,b]) (rule W11);

    % NDG: point Tc is not incident to the line b

  4. Using the circle k(Tc,foot[Tc,b]), the point C, the point Tc and the line b, construct a line a (rule W13);

    % NDG: point C is outside the circle k(Tc,foot[Tc,b])

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

    % NDG: lines a and c are not parallel

    % DET: lines a and c are not the same

 animation
Construction in GCLC language

Back to the list of problems