“Parabola Evolute”的概念、定义、习题解题方法及翻译-数学辞典

单词

Parabola Evolute

释义

Parabola Evolute

Given a Parabola

(1)

the parametric equation and its derivatives are

(2)

The Radius of Curvature is

(3)

The Tangent Vector is

(4)

so the parametric equations of the evolute are

			(5)
			(6)

and

			(7)
			(8)

(9)

(10)

The Evolute is therefore

(11)

This is known as Neile's Parabola and is a Semicubical Parabola. From a point above the evolute threenormals can be drawn to the Parabola, while only one normal can be drawn to the Parabola from a point below the Evolute.

See also Neile's Parabola, Parabola, Semicubical Parabola

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