Fermat spiral
From Encyclopedia of Mathematics
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A planar transcendental curve the equation of which in polar coordinates has the form
$$\rho=a\sqrt\phi.$$
To each value of $\phi$ correspond two values of $\rho$ — a positive and a negative one. The Fermat spiral is centrally symmetric relative to the pole, which is a point of inflection. It belongs to the class of so-called algebraic spirals.
They were first studied by P. Fermat (1636).
Figure: f038420a
References
[1] | A.A. Savelov, "Planar curves" , Moscow (1960) (In Russian) |
Comments
References
[a1] | J.D. Lawrence, "A catalog of special plane curves" , Dover, reprint (1972) |
How to Cite This Entry:
Fermat spiral. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Fermat_spiral&oldid=32537
Fermat spiral. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Fermat_spiral&oldid=32537
This article was adapted from an original article by D.D. Sokolov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article