IMO Shortlist 1959 problem 6

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Dodao/la: arhiva
2. travnja 2012.
Two planes, P and Q, intersect along the line p. The point A is given in the plane P, and the point C in the plane Q; neither of these points lies on the straight line p. Construct an isosceles trapezoid ABCD (with AB \parallel CD) in which a circle can be inscribed, and with vertices B and D lying in planes P and Q respectively.
Izvor: Međunarodna matematička olimpijada, shortlist 1959