Definition:Dual Operations

Definition

In the context of geometry, dual operations are types of operation such that one type of operation has a specific connection with the other type of operation.

Plane Geometry

In the context of plane geometry, dual operations are:

the connection of two points to define a straight line

the intersection of two straight lines to define a point.

Also see

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

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

• Results about dual operations 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.