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Four concurrent lines a,b,c,d, are said to form a harmonic set if there is a quadrilateral of which two opoosite vertices lies on a and two other opposite vertices on b, while the remaining vertices lie on c and d. We say that c and d are harmonic conjugates (of each other) with respect to a and b, and we write H(ab,cd) as an abbreviated statement of this relation.
To construct d, given a,b,c, we draw any trinagle pqr whose vertexes q*r, r*p, p*q, lie on a,b,c, respectively. This determines a quadrilateral pqrs, where s = (a*p)(b*q). We thus obtain d = (r*s)(a*b). l' ӗ( p}0(Gt}Pt&t&Gt~D,./
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