Definition:Dual Statements

Definition

In the context of geometry, dual statements are statements in which:

the name of each object is replaced by its dual element

each operation is replaced by its dual operation.

Also known as

Dual statements are also known as dual theorems.

Also see

• Definition:Plane Geometric Duality
• Definition:Solid Geometric Duality

• Definition:Dual Elements
• Definition:Dual Operations
• Principle of Duality

• Results about dual statements can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): duality: 1.
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): duality: 1.