Back to the list of problems

Problem 141 from Wernick's corpus: B, Ma, I


Problem

Given a point B, a point Ma and a point I, construct the triangle ABC.

Status

ArgoTriCS says that the problem is solvable.

Illustration

Figure of construction

Solution


  1. Using the point B and the point Ma, construct a point C (rule W01);

  2. Using the point B and the point Ma, construct a line a (rule W02);

    % DET: points B and Ma are not the same

  3. Using the point I and the line a, construct a circle k(I,Pa) (rule W11);

    % NDG: point I is not incident to the line a

  4. Using the circle k(I,Pa), the point B, the point I and the line a, construct a line c (rule W13);

    % NDG: point B is outside the circle k(I,Pa)

  5. Using the circle k(I,Pa), the point C, the point I and the line a, construct a line b (rule W13);

    % NDG: point C is outside the circle k(I,Pa)

  6. 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

animation
Construction in GCLC language

Back to the list of problems