Last Updated：2025/11/21

(mathematics) Any closed curve described by a Cartesian equation of the form (x²+y²)²=2a²(x²-y²).

音声機能が動作しない場合はこちらをご確認ください

See correct answer

lemniscate of Bernoulli

Source Word

lemniscate of Bernoulli

Noun

(mathematics) Any closed curve described by a Cartesian equation of the form (x²+y²)²=2a²(x²-y²).

Japanese Meaning

数学において、カルテジアン座標系の式 (x²+y²)² = 2a²(x²-y²) によって表される、閉じた曲線（無限大記号の形状に似た曲線）

During the geometry lecture, the professor sketched a lemniscate of Bernoulli to demonstrate properties of that quartic curve.

幾何学の講義で教授は、その四次曲線の性質を示すために、方程式 (x^2 + y^2)^2 = 2a^2(x^2 - y^2) で表される閉曲線を描いた。

Sense（1）

(mathematics) Any closed curve described by a Cartesian equation of the form (x²+y²)²=2a²(x²-y²).

lemniscates of Bernoulli

（ plural ）