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Illustrated definition of Intersect: To cross over (have some common point) The red and blue lines intersect.
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.
The ∩ symbol is chiefly used in set theory to show the intersection of two sets. The intersection of two sets contains all elements that are present in both sets. If an element belongs to both Set A and Set B, then it will belong to the intersection of A and B. Examples. Example 1: Basic intersection:
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".
- 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.
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.
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Nov 21, 2023 · In geometry, the term intersection describes when any geometric objects cross or intersect one another. This is also called a geometric intersection. A common geometric intersection is the ...
