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

单词

equiangular spiral

释义

equiangular spiral

A curve whose equation in polar coordinates is r = ae^kθ, where a > 0 and k are constants. Let O be the origin and P be any point on the curve. The curve derives its name from the property that the angle α between OP and the tangent at P is constant. In fact, k = cotα. The curve is also called the logarithmic spiral.

Spiral with constant angle α

http://jwilson.coe.uga.edu/EMT668/EMAT6680.F99/Erbas/KURSATgeometrypro/related%20curves/related%20curves.html

• Animations of related curves, and an interactive manipulation of the spiral in Geometer's Sketchpad.

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