# Mathematical name of time dilation curve

by HALON
Tags: curve, dilation, mathematical, time
 P: 39 In mathematics, what is the name (type) for a curve given by velocity and time dilation? Specifically, I want to find a name for the curve $y=1/(1-x^2)^{1/2}$ This curve is derived from the equation of a unit circle $(x-a)^2+(y-b)^2=r^2$ where $y=(1-x^2)^{1/2}$
 Homework Sci Advisor HW Helper Thanks P: 13,040 It's called a hyperbola. Well - sort of. The general equation is: ##(x^2-h)(y^2-k)=m## Your relation has ##k=0, h=-1, m=-1## This is a rectangular hyperbola in ##(x^2,y^2)## You can get much more general than that by just taking the product of two polynomials... $$P_n(x)P_m(y)=\text{const.}$$