Wolfram Demonstrations Project

The logarithmic spiral

has the property that the angle (say

) between a radius vector to a point on the curve and the tangent at the point is a constant, namely

Reference

[1] V. I. Smirnoff, Lectures in Higher Mathematics (in Russian), Vol. 1, Moscow: Nauka Publishers, 1967, pp. 222–223.

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Tangent on a Logarithmic Spiral