Archimedean Spiral
A Spiral with Polar equation
where
is the radial distance, 
is the polar angle, and 
is a constant which determines how tightly thespiral is ``wrapped.'' The Curvature of an Archimedean spiral is given by
Various special cases are given in the following table.
| Name | |
| Lituus |  |
| Hyperbolic Spiral |  |
| Archimedes' Spiral | 1 |
| Fermat's Spiral | 2 |
References
Gray, A. Modern Differential Geometry of Curves and Surfaces. Boca Raton, FL: CRC Press, pp. 69-70, 1993. Lauwerier, H. Fractals: Endlessly Repeated Geometric Figures. Princeton, NJ: Princeton University Press, pp. 59-60, 1991. Lawrence, J. D. A Catalog of Special Plane Curves. New York: Dover, pp. 186 and 189, 1972. Lee, X. ``Archimedean Spiral.''http://www.best.com/~xah/SpecialPlaneCurves_dir/ArchimedeanSpiral_dir/archimedeanSpiral.html Lockwood, E. H. A Book of Curves. Cambridge, England: Cambridge University Press, p. 175, 1967. MacTutor History of Mathematics Archive. ``Spiral of Archimedes.''http://www-groups.dcs.st-and.ac.uk/~history/Curves/Spiral.html. Pappas, T. ``The Spiral of Archimedes.'' The Joy of Mathematics. San Carlos, CA: Wide World Publ./Tetra, p. 149, 1989.
- Schroeder Stairs
- Schröder-Bernstein Theorem
- Schröder Number
- Schröder's Equation
- Schröder's Method
- Schröter's Formula
- Schur Algebra
- Schur Functor
- Schur Matrix
- Schur Multiplier
- Schur Number
- Schur's Inequalities
- Schur's Lemma
- Schur's Problem
- Schur's Representation Lemma
- Schur's Theorem
- Schwarzian Derivative
- Schwarz-Pick Lemma
- Schwarz Reflection Principle
- Schwarz's Inequality
- Schwarz's Triangle Problem
- Schwarz Triangle
- Schwenk's Formula
- Schönflies Symbol
- Schönflies Theorem