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