Homogeneous Cartesian Coordinates/Examples

Examples of Homogeneous Cartesian Coordinates

Arbitrary Example

Consider the polynomial equation $\map P {x, y}$:

$2 x^2 + x + 7 = y$

This can be expressed in homogeneous Cartesian coordinates $\map P {X, Y, Z}$ as:

$2 X^2 + X Z + 7 Z^2 = Y Z$