Last Updated：2025/12/06

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(geometry) A theorem that states in a cyclic quadrilateral, the product of the lengths of its diagonals is equal to the sum of the products of the lengths of the two pairs of opposite sides.

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Ptolemy's theorem

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Source Word

Ptolemy's theorem

Proper noun

(geometry) A theorem that states in a cyclic quadrilateral, the product of the lengths of its diagonals is equal to the sum of the products of the lengths of the two pairs of opposite sides.

Japanese Meaning

円に内接する四辺形において、対角線の長さの積が、対向する2組の辺の長さの積の和に等しいという定理

What is this buttons?

In my geometry class, I used Ptolemy's theorem to compute the length of a diagonal in a cyclic quadrilateral.

Google Translation / DeepL Translation

幾何学の授業で、円に内接する四辺形において対角線の長さの積が対辺の長さの積の和に等しいという定理（プトレマイオスの定理）を使って対角線の長さを求めました。

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Sense（1）

(geometry) A theorem that states in a cyclic quadrilateral, the product of the lengths of its diagonals is equal to the sum of the products of the lengths of the two pairs of opposite sides.

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Ptolemy's theorem

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Ptolemy's theorem

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