Endpoint (geometry) in the context of Subtend

⭐ Core Definition: Endpoint (geometry)

In geometry, a line segment is a part of a straight line that is bounded by two distinct endpoints (its extreme points), and contains every point on the line that is between its endpoints. It is a special case of an arc, with zero curvature. The length of a line segment is given by the Euclidean distance between its endpoints. A closed line segment includes both endpoints, while an open line segment excludes both endpoints; a half-open line segment includes exactly one of the endpoints. In geometry, a line segment is often denoted using an overline (vinculum) above the symbols for the two endpoints, such as in $AB$ .

Examples of line segments include the sides of a triangle or square. More generally, when both of the segment's end points are vertices of a polygon or polyhedron, the line segment is either an edge (of that polygon or polyhedron) if they are adjacent vertices, or a diagonal. When the end points both lie on a curve (such as a circle), a line segment is called a chord (of that curve).

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⭐ Core Definition: Endpoint (geometry)
Endpoint (geometry) in the context of Subtended angle
Endpoint (geometry) in the context of Extreme point

Endpoint (geometry) in the context of Subtended angle

In geometry, an angle subtended (from Latin for "stretched under") by a line segment at an arbitrary vertex is formed by the two rays between the vertex and each endpoint of the segment. For example, a side of a triangle subtends the opposite angle.

More generally, an angle subtended by an arc of a curve is the angle subtended by the corresponding chord of the arc.For example, a circular arc subtends the central angle formed by the two radii through the arc endpoints.

View the full Wikipedia page for Subtended angle

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Endpoint (geometry) in the context of Extreme point

In mathematics, an extreme point of a convex set $S$ in a real or complex vector space is a point in $S$ that does not lie in any open line segment joining two points of $S.$ The extreme points of a line segment are called its endpoints. In linear programming problems, an extreme point is also called vertex or corner point of $S.$

View the full Wikipedia page for Extreme point

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Endpoint (geometry) in the context of Subtend

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⭐ Core Definition: Endpoint (geometry)

Endpoint (geometry) in the context of Subtended angle

Endpoint (geometry) in the context of Extreme point