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Using the point Ta and the point I, construct a line sa (rule W02);
% DET: points Ta and I are not the same
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Choose freely a point A on the line sa (rule WOnline1)
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Using the point A and the point I, construct a line m(AI) (rule W14);
% DET: points A and I are not the same
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Choose freely a point B (rule free)
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Using the point B and the point A, construct a point Mc (rule W01);
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Using the point B and the point A, construct a line c (rule W02);
% DET: points B and A are not the same
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Using the point B and the point Ta, construct a line a (rule W02);
% DET: points B and Ta are not the same
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Using the point Mc and the line c, construct a line mc (rule W10b);
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Using the line mc and the line m(AI), construct a point Nc (rule W03);
% NDG: lines mc and m(AI) are not parallel
% DET: lines mc and m(AI) are not the same
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Using the point Nc and the point I, construct a line sc (rule W02);
% DET: points Nc and I are not the same
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Using the line a and the line sc, construct a point C (rule W03);
% NDG: lines a and sc are not parallel
% DET: lines a and sc are not the same