Definition:Perspective/Line

Definition

Let $A$ and $B$ be plane geometric figures.

Let $A$ and $B$ be such that their points are in one-to-one correspondence such that the lines joining pairs of corresponding points lie on the same straight line $L$.

Then $A$ and $B$ are in perspective from a line, and that line is $L$.

Axis of Perspective

Let $A$ and $B$ be in perspective from a line $L$.

Then $L$ is known as the axis of perspective of $A$ and $B$.

Also see

• Definition:Perspective from Point

• Results about perspective can be found here.

Sources

• 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): perspective
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): perspective
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): perspective