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