| Неравенство Птолемея |  |
Неравенство Птолемея — неравенство на 6 расстояний между четвёркой точек на плоскости.
Названо в честь позднеэллинистического математика Клавдия Птолемея. Википедия
Ptolemy's theorem gives a relationship between the side lengths and the diagonals of a cyclic quadrilateral; it is the equality case of Ptolemy's Inequality. ... |
Ptolemy's theorem: For a cyclic quadrilateral (that is, a quadrilateral inscribed in a circle), the product of the diagonals equals the sum of the products of ... |
Videolar Carnot's Theorem. Combined with the Law of Sines, Ptolemy's theorem serves to prove the addition and subtraction formulas for the sine function. It has a short ... |
Our goal is to show how the Generalized. Ptolemy Theorem can be used to prove two results in plane geometry. The first result, Theorem 1, is a generalization of ... |
In Euclidean geometry, Ptolemy's inequality relates the six distances determined by four points in the plane or in a higher-dimensional space. |
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