Definition:Central Dilatation Mapping/Also known as

Central Dilatation Mapping: Also known as

A central dilatation mapping may also be called the multiplication operator.

It can also be referred to as a dilation mapping, but that can be interpreted ambiguously, as it can also refer to a general dilatation mapping, which includes the possibility of such being a translation.

Some sources use the term enlargement, but that can be misleading as the word is also used when the effect is to shrink the domain.

The terms homothety and similitude can also be seen on occasion.

The adjective homothetic can be used to describe two geometric figures which can be mapped one to the other by a homothety.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): enlargement (central dilatation, homothety, similitude)
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): homothetic
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): homothety
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): enlargement (central dilatation, homothety, similitude)
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): homothetic
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): homothety