58 VII. CONGRUENT LINES IN A TRIANGLE 3◦. CD, BF are equal to and perpendicular to BI, CI respectively, and their intersection point is also on the altitude from A. Exercise 46. We are given a right angle AOB, and two perpendicular lines through a point P , the first intersecting the sides of the angle in A, B, and the second intersecting the same sides in C, D. Show that the perpendiculars from the points D, O, C to the line OP intercept on AB segments equal to AP , P B, respectively, but having the opposite sense.

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