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Problem 237 from Wernick's corpus: C, Mc, Tc


Problem

Given a point C, a point Mc 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 C and the point Tc, construct a line sc (rule W02);

    % DET: points C and Tc are not the same

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

    % DET: points Mc and Tc are not the same

  3. Using the point Mc and the line c, construct a line mc (rule W10b);

  4. Using the line mc and the line sc, construct a point Nc (rule W03);

    % NDG: lines mc and sc are not parallel

    % DET: lines mc and sc are not the same

  5. Using the point C and the point Nc, construct a line m(CNc) (rule W14);

    % DET: points C and Nc are not the same

  6. Using the line m(CNc) and the line mc, construct a point O (rule W03);

    % NDG: lines m(CNc) and mc are not parallel

    % DET: lines m(CNc) and mc are not the same

  7. Using the point C and the point O, construct a circle k(O,C) (rule W06);

    % NDG: points C and O are not the same

  8. Using the circle k(O,C) and the line c, construct a point A and a point B (rule W04);

    % NDG: line c and circle k(O,C) intersect

animation
Construction in GCLC language

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