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Using the point Ha and the point Ec, construct a circle k(Ec,C) (rule W06);
% NDG: points Ha and Ec are not the same
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Choose freely a point C on the circle k(Ec,C) (rule WOncircle)
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Using the point C and the point Ec, construct a point H (rule W01);
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Using the point C and the point Ha, construct a line a (rule W02);
% DET: points C and Ha are not the same
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Using the point Ha and the point H, construct a line ha (rule W02);
% DET: points Ha and H are not the same
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Choose freely a point A on the line ha (rule WOnline1)
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Using the point A and the point C, construct a line b (rule W02);
% DET: points A and C are not the same
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Using the circle k(Ec,C), the line b, the point Ec and the point C, construct a point Hb (rule W05);
% NDG: line b and circle k(Ec,C) intersect
% DET: points C and Hb must be different
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Using the point H and the point Hb, construct a line hb (rule W02);
% DET: points H and Hb are not the same
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Using the line a and the line hb, construct a point B (rule W03);
% NDG: lines a and hb are not parallel
% DET: lines a and hb are not the same