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Mathematical Education, 2021, Issue 1(97), Pages 2–4
(Mi mo734)
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Students and teachers of secondary school
From equality of Pythagoras to equality of Ptolemy
V. K. Gavrilov
Abstract:
For a quadrilateral inscribed in a circle, the connection between Ptolemy's equality and the equality of Pythagoras is noted. A formula is obtained for the ratio of the diagonals of the quadrilateral, the lengthes of the diagonals are determined.
Citation:
V. K. Gavrilov, “From equality of Pythagoras to equality of Ptolemy”, Math. Ed., 2021, no. 1(97), 2–4
Linking options:
https://www.mathnet.ru/eng/mo734 https://www.mathnet.ru/eng/mo/y2021/i1/p2
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