Definition:Intersection (Geometry)
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This page is about intersection in the context of geometry. For other uses, see intersection.
Definition
The intersection of two lines $AB$ and $CD$ is denoted by $AB \cap CD$.
The intersection of two geometric figures is the set of points shared by both figures.
Note that this use of $\cap$ is consistent with that of its more usual context of set intersection.
When two lines intersect, they are said to cut each other.
Also see
Sources
- 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): meet: 2.
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): intersection: 2.
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): intersection: 2.
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): intersect