# Theory like coordinate geometry

1. Jan 23, 2008

is one -one correspondence must for a theory like coordinate geometry , polar coordinate ,vector analysis etc
to work , i.e theories which work by representing a quantity by a different set of quantities
behaving alike

2. Jan 23, 2008

### Hurkyl

Staff Emeritus
It's hard to tell exactly what you're asking... but I think I can answer.

It is fairly common to allow many different notations for the same object; you just have to include rules for identifying when two notations denote the same object.

e.g. 1/2 and 2/4 are two different notations for the same rational number, and 0° and 360° are two different notations for the same angle. (0° and 360° are different angular displacements, of course)

3. Jan 23, 2008