Parametric Equations -- 3/2/2020

Non Parametric	Parametric
y = f(x)	x = f(t) y = g(t)

• Define curves as system of equations in terms of an independent variable
• Think of t as a percentage. Think of a shape, and increase t based on how far along you are

Line

(x0, y0) -> (x1, y1)

         t=1
        .
       /
      /
t=0  /
    .

x = x0 + t(x1 - x0)

Circle

(Cx, Cy), r
x = rcos(2pi * t) + Cx
y = rsin(2pi * t) + Cy
t= 0 - 1