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Using the point Ha and the point Eb, construct a circle k(Eb,B) (rule W06);
% NDG: points Ha and Eb are not the same
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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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Using the circle k(Eb,B), the circle k(Ec,C), the point Ha, the point Eb and the point Ec, construct a point H (rule W08);
% NDG: circles k(Eb,B) and k(Ec,C) intersect
% DET: circles k(Eb,B) and k(Ec,C) are not the same points Ha and H must be different
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Using the point H and the point Eb, construct a point B (rule W01);
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Using the point Ec and the point H, construct a point C (rule W01);
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Using the point Ec and the point H, construct a line hc (rule W02);
% DET: points Ec and H 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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Using the circle k(Eb,B), the line hc, the point Eb and the point H, construct a point Hc (rule W05);
% NDG: line hc and circle k(Eb,B) intersect
% DET: points H and Hc must be different
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Using the point B and the point Hc, construct a line c (rule W02);
% DET: points B and Hc are not the same
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Using the line ha and the line c, construct a point A (rule W03);
% NDG: lines ha and c are not parallel
% DET: lines ha and c are not the same