Editing Cartesian coordinate system (section)

====Scaling====
An example of an affine transformation which is not Euclidean is given by scaling. To make a figure larger or smaller is equivalent to multiplying the Cartesian coordinates of every point by the same positive number ''m''. If {{nowrap|(''x'', ''y'')}} are the coordinates of a point on the original figure, the corresponding point on the scaled figure has coordinates

<math display=block>(x',y') = (m x, m y).</math>

If ''m'' is greater than 1, the figure becomes larger; if ''m'' is between 0 and 1, it becomes smaller.