# Math Help - Coordinate- geometry

1. ## Coordinate- geometry

I wanted to know if there is a method for non-linear transformation of axes. For example. if I wanted to transform y=f(x) into a coordinate system where X=g(x) and Y=h(x) (the x and y co-ordinates of this system are non linear functions of x and y respectively .

2. I don't understand what you mean by "a method for non-linear transformation". Do you mean converting, say, y= f(x) to Y= F(X)? If so, no there is no general simple formula. It depends basically on finding inverses for the two transformation functions. If g and h have inverses (which is not necessarily true for non-linear functions) then y= f(x) would be $h^{-1}(Y)= f(g^{-1}(X)$ so that $Y= h(f(g^{-1}(X)))$.

3. yes i know that...i wanted to know if a general formula existed... i had derived a formula using calculus...it is complex but is general... thats al i wanteed to know