Pythagoras Theorem and Its Applications
1.4.2 Division of a segment into the golden ratio Such a point X is said to divide the segment AB in the golden ratio,and can be constructed as follows. (1) Draw a right triangle ABP with BP perpendicular to AB and half in length. (2) Mark a point Q on the hypotenuse AP such that PQ= PB. (3) Mark a point X on the segment AB such that AX = AQ. ................
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