Some Useful Curves

[Charles Pegge]

Some Useful Curves and non-linear functions


Circle

x*x+y*y=1


Ellipse

x*x/(a*a)+y*y/(b*b)=1

http://www.intmath.com/Plane-analytic-geometry/5_Ellipse.php


Hyperbola

y*y-x*x=1
or
x*x-y*y=1

http://www.intmath.com/Plane-analytic-geometry/6_Hyperbola.php

Parabola

y=x*x*.25/p 'p=focus position
http://www.intmath.com/Plane-analytic-geometry/4_Parabola.php


Catenary

f=x/a : y=a*.5*(exp(f)+exp(-f))
http://mathworld.wolfram.com/Catenary.html
http://en.wikipedia.org/wiki/Catenary


Gaussian

y=exp -x

http://en.wikipedia.org/wiki/Gaussian_function

[kryton9]

Thanks Charles, if I find any I will add to the list.