Unformatted text preview: (e) It then follows by Proposition III.22 of the Elements (opposite angles of a quadrilateral inscribed in a circle sum to two right angles) that ∠ CLB + ∠ COB equals two right angles. Show that ∠ BOC + ∠ AOF equals two right angles. ( Hint: Each of the lines from O to a vertex of △ ABC bisects the angle there.) It follows that ∠ CLB = ∠ AOF....
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- Fall '08
- Calculus, Right triangle, Hypotenuse, right angles, o Perpendicular, common edge CL