Geometric Construction with the Compass Alone Find the intersection point of two lines each given by a pair of points - AB and CD, respectively. Solution The solution takes several steps: Construct C1 and D1 symmetric to C and D with respect to AB (Problem #2). The required point X can be found in the intersection of CD and C1D1. Complete the parallelogram CC1D1E (Problem #6). Find x from DE/DD1 = CD/x (Problem #10). Draw two circles of radius x centered at D and D1. The required point X lies in the intersection of the two circles. Copyright © 1996-2008 Alexander Bogomolny

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