MathDB

9

Part of 1972 Canada National Olympiad

Problems(1)

4 lines in the plane

Source: Canada 1972, Problem 9

6/25/2006
Four distinct lines L1,L2,L3,L4L_1,L_2,L_3,L_4 are given in the plane: L1L_1 and L2L_2 are respectively parallel to L3L_3 and L4L_4. Find the locus of a point moving so that the sum of its perpendicular distances from the four lines is constant.
geometryparallelogram