Definition:Perspective/Point
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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 pass through a single point $P$.
Then $A$ and $B$ are in perspective from a point, and that point is $P$.
Center of Perspective
Let $A$ and $B$ be in perspective from a point $P$.
Then $P$ is known as the center of perspective of $A$ and $B$.
Examples
Arbitrary Example
In the above diagram, $A$ and $B$ are in perspective from $P$.
Also see
- 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