“Hyperbola Inverse Curve”的概念、定义、习题解题方法及翻译-数学辞典

单词

Hyperbola Inverse Curve

释义

Hyperbola Inverse Curve

For a Hyperbola with with Inversion Center at the center, the Inverse Curve

			(1)
			(2)

is a Lemniscate.

For an Inversion Center at the Vertex, the Inverse Curve

			(3)
			(4)

is a Right Strophoid.

For an Inversion Center at the Focus, the Inverse Curve

			(5)
			(6)

is a Limaçon, where

is the Eccentricity.

For a Hyperbola with and Inversion Center at the Vertex, the Inverse Curve

			(7)
			(8)

is a Maclaurin Trisectrix.

References

Lawrence, J. D. A Catalog of Special Plane Curves. New York: Dover, p. 203, 1972.

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