Sinusoidal Spiral
A curve of the form
with
Rational, which is not a true Spiral. Sinusoidal spirals were first studiedby Maclaurin. Special cases are given in the following table. | Curve |
 | Hyperbola |
 | Line |
 | Parabola |
 | Tschirnhausen Cubic |
| 0 | Logarithmic Spiral |
 | Cayley's Sextic |
 | Cardioid |
| 1 | Circle |
| 2 | Lemniscate |
References
Lawrence, J. D. A Catalog of Special Plane Curves. New York: Dover, p. 184, 1972. Lee, X. ``Sinusoid.''http://www.best.com/~xah/SpecialPlaneCurves_dir/Sinusoid_dir/sinusoid.html. Lockwood, E. H. A Book of Curves. Cambridge, England: Cambridge University Press, p. 175, 1967. MacTutor History of Mathematics Archive. ``Sinusoidal Spirals.''http://www-groups.dcs.st-and.ac.uk/~history/Curves/Sinusoidal.html.
- Bessel's Inequality
- Bessel's Interpolation Formula
- Bessel's Second Integral
- Bessel's Statistical Formula
- Beta
- Beta Distribution
- Beta Function
- Beta Function (Exponential)
- Beta Prime Distribution
- Bethe Lattice
- Betrothed Numbers
- Betti Group
- Betti Number
- Bezout Numbers
- Bezout's Theorem
- Bhargava's Theorem
- Bhaskara-Brouckner Algorithm
- Bianchi Identities
- Bianchi Identities (Contracted)
- Biased
- Bias (Estimator)
- Bias (Series)
- Biaugmented Pentagonal Prism
- Biaugmented Triangular Prism
- Biaugmented Truncated Cube