Definition:Dilatation

Definition

A dilatation is a mapping $T: \R^n \to \R^n$ that maps straight lines onto parallel lines.

Hence a dilatation is either a translation or a central dilatation.

Also known as

A dilatation is also known as a dilation mapping, but this term is also used for a central dilatation mapping.

Also see

• Results about dilatations can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): dilatation (dilation)
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): dilatation (dilation)