famous curves

Closed curves

• Circle (http://planetmath.org/circle)

• Ellipse

• Astroid (http://planetmath.org/clairautsequation)

• Cardioid

• Cassini oval (especially: lemniscate)

• graphs of spherical functions

• Lissajous curves (http://planetmath.org/lissajouscurves)

Periodic curves

• Sinusoid

• Cycloid

• Triangular-wave curve (http://planetmath.org/triangularwavefunction)

Unbounded

• Line (http://planetmath.org/LineInThePlane)

• Hyperbola

• Parabola

• Semicubical parabola

• Cubic hyperbola (http://planetmath.org/polytrope)

• Logarithmic spiral

• Archimedean spiral

• Nielsen’s spiral (http://planetmath.org/curvatureofnielsensspiral)

• Gaussian (http://planetmath.org/areaundergaussiancurve) and Lorentzian curves

• graphs of Bessel functions

• graphs of Legendre polynomials

• Catenary

• Tractrix

• Clothoid

• Lamé’s cubic (http://planetmath.org/asymptoteoflamescubic)

• Witch of Agnesi

• Cissoid of Diocles

• Conchoid of Nicomedes

• Quadratrix of Hippias

• graphs of damped sine and cosine functions

• graphs of sinc function, sine integral, gamma function, function $x^x$ (http://planetmath.org/FunctionXx)

Space curves

• Circular helix

• Loxodrome

http://www.mathcurve.com/courbes2d/courbes2d.shtmlENCYCLOPÉDIE DES FORMES MATHÉMATIQUES REMARQUABLES

Title	famous curves
Canonical name	FamousCurves
Date of creation	2015-02-06 13:05:15
Last modified on	2015-02-06 13:05:15
Owner	matte (1858)
Last modified by	pahio (2872)
Numerical id	51
Author	matte (2872)
Entry type	Topic
Classification	msc 53A04
Related topic	ClairautsEquation
Related topic	CurvatureOfNielsensSpiral
Related topic	Asymptote
Related topic	ArcLengthOfParabola