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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 .
Closed line or closed lines could refer to: Closed curve, a curve in mathematics where the two ends meet; Closed line segment, a line segment in mathematics that includes both its endpoints; Defunct airlines, or air travel companies that no longer exist; Line (formation), a military formation in which soldiers are packed together into rows
A simple polygonal chain A self-intersecting polygonal chain A closed polygonal chain. In geometry, a polygonal chain [a] is a connected series of line segments. More formally, a polygonal chain is a curve specified by a sequence of points (,, …,) called its vertices. The curve itself consists of the line segments connecting the ...
The normal form (also called the Hesse normal form, [10] after the German mathematician Ludwig Otto Hesse), is based on the normal segment for a given line, which is defined to be the line segment drawn from the origin perpendicular to the line. This segment joins the origin with the closest point on the line to the origin.
A convex set in light blue, and its extreme points in red. Throughout, will be a real or complex vector space. For any elements and in a vector space, the set [,]:= {+ ():} is called the closed line segment or closed interval between and .
The square root of 2 is equal to the length of the hypotenuse of a right triangle with legs of length 1 and is therefore a constructible number. In geometry and algebra, a real number is constructible if and only if, given a line segment of unit length, a line segment of length | | can be constructed with compass and straightedge in a finite number of steps.
Line chart showing the population of the town of Pushkin, Saint Petersburg from 1800 to 2010, measured at various intervals. A line chart or line graph, also known as curve chart, [1] is a type of chart that displays information as a series of data points called 'markers' connected by straight line segments. [2]
A set C is strictly convex if every point on the line segment connecting x and y other than the endpoints is inside the topological interior of C. A closed convex subset is strictly convex if and only if every one of its boundary points is an extreme point. [3] A set C is absolutely convex if it is convex and balanced.