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Illustrated definition of Intersect: To cross over (have some common point) The red and blue lines intersect.
- Intersection Definition (Illustrated Mathematics Dictionary)
Intersection. more ... Geometry: Where lines cross over...
- Intersection Definition (Illustrated Mathematics Dictionary)
Definition: The point where two lines meet or cross. Try this Drag any orange dot at the points A,B,P or Q. The line segments intersect at point K. An intersection is a single point where two lines meet or cross each other. In the figure above we would say that "point K is the intersection of line segments PQ and AB".
The term “intersect” can be defined for both lines and sets. When we talk about an intersection in geometry, we mean that something cuts or passes through or across something. When we talk about the intersection of two sets, we mean the set of shared elements between them. 00:00. 00:00.
We rely on them to prove or derive new results. The intersection of two sets A and B, denoted A ∩ B, is the set of elements common to both A and B. In symbols, ∀x ∈ U [x ∈ A ∩ B ⇔ (x ∈ A ∧ x ∈ B)]. The union of two sets A and B, denoted A ∪ B, is the set that combines all the elements in A and B.
- Lines, Rays, Line Segments
- Other Geometric Figures
- Sets
For lines, rays, and line segments, intersect means to meet or cross. When two lines, rays, or line segments intersect, they have one common point.
Some geometric figures intersect at more than one point. When two distinct planesmeet, they intersect at a line. When a plane and a spheremeet, their intersection forms a circular section. In the diagram above, plane p intersects a sphere with center O forming a circle with center O. The circle is called a great circle of the sphere since it contai...
It is also possible for sets to intersect or share common elements. The Venn diagrambelow shows the intersection of multiples of 2 and multiples of 3 within the set of whole numbers from 1 to 12.
Intersection. more ... Geometry: Where lines cross over (where they have a common point). The red and blue lines have an intersection. Illustrated definition of Intersection: Geometry: Where lines cross over (where they have a common point). The red and blue lines have an intersection....
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In set theory, the intersection of a collection of sets is the set that contains their shared elements. Given two sets, A = {2, 3, 4, 7, 10} and B = {1, 3, 5, 7, 9}, their intersection is as follows: A ∩ B = {3, 7} The intersection of two sets is commonly represented using a Venn diagram. In a Venn diagram, a set is represented by a circle.
