Definition:Adjacent
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Adjacent may refer to:
- Adjacent (Graph Theory):
- Two vertices are said to be adjacent if and only if there exists an edge to which they are both incident.
- Two edges are said to be adjacent if and only if there exists an vertex to which they are both incident.
- Two faces of a planar graph are said to be adjacent or neighboring if and only if there exists an edge to which they are both incident.
- Adjacent (Geometry):
- Two angles are adjacent if and only if they share a line. Similarly:
- The two sides of a polygon that form a particular vertex are adjacent to that vertex.
- The two vertices of a polygon that terminate a particular side are adjacent to that side.
- Two sides of a polygon that meet at the same vertex are adjacent to each other.
- Two vertices of a polygon that terminate the same side are adjacent to each other.
- Adjacent (in a Triangle): The two sides of a triangle that form a particular vertex are adjacent to that vertex. Usually used in the context of right triangles:
- Adjacent (in the context of Trigonometry): The adjacent side of a given right triangle $\triangle ABC$ with respect to one of the non-right angles $\angle A$ is the side of the right triangle adjacent to $A$ which is not the hypotenuse.