Tangent on a Logarithmic Spiral

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 .

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