intersection
the set of all points that two figures have in common
In geometry, an intersection is a point, line or object where two or more geometric figures meet or cross each other. The intersection is the set of all points that are in both figures. The term intersection can be used to describe the meeting point of any two or more figures, including points, lines, and planes.
For example, if we have two lines, they will intersect at a single point unless they are parallel. Similarly, two circles may intersect at two points, one point, or they may not intersect at all. In the case of polygons, the intersection can be a line, a point, or even another polygon.
The intersection of two or more sets can also be described in terms of set theory. In this context, the intersection of two sets A and B is the set containing all elements that are common to both A and B. This can be denoted as A ∩ B.
Intersections are important in many areas of math and science, including geometry, topology, and graph theory. They are used in many real-life applications, such as navigation, traffic control, and the analysis of data sets.
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