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新编初中数学《几何》第二册复习题五第20题。求证:在圆内接四边形ABCD中,AB·CD+BC·AD=AC·BD. 这是著名的托勒密(Ptolemy,公元二世纪古希腊数学家、星学家兼地里学家)定理。本文就定理的证明和在解题中的应用,举数例供参考。
The 20th issue of the new junior middle school mathematics “geometry” second book review questions five. Proof: In the circle inscribed quadrilateral ABCD, AB·CD+BC·AD=AC·BD. This is the famous Ptolemy (Ptolemy, the second century Greek ancient mathematician, astrologer and geologist) Theorem . In this paper, the proof of the theorem and its application in solving problems are given for reference.