Part of a line that is bounded by two distinct end points; line with two endpoints
The geometric definition of a closed line segment: the intersection of all points at or to the right of A with all points at or to the left of Bhistorical image – create a line segment (1699)
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In geometry, a line segment is a part of a straight line that is bounded by two distinct end 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.[1]
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).
^"Line Segment Definition - Math Open Reference". www.mathopenref.com. Retrieved 2020-09-01.
In geometry, a linesegment is a part of a straight line that is bounded by two distinct end points, and contains every point on the line that is between...
Look up segment, segmentation, or segmental in Wiktionary, the free dictionary. Segment, segmentation, segmented, or segmental may refer to: Segmentation...
involves a bisecting line, also called a bisector. The most often considered types of bisectors are the segment bisector, a line that passes through the...
Perpendicular intersections can happen between two lines (or two linesegments), between a line and a plane, and between two planes. Perpendicularity is one...
In computational geometry, the multiple linesegment intersection problem supplies a list of linesegments in the Euclidean plane and asks whether any...
of the point to the line, the length of the linesegment which joins the point to nearest point on the line. The algebraic expression for calculating it...
circular segment or disk segment (symbol: ⌓) is a region of a disk which is "cut off" from the rest of the disk by a straight line. The complete line is known...
In mathematics, a curve (also called a curved line in older texts) is an object similar to a line, but that does not have to be straight. Intuitively...
single unit of counting or measurement. For example, a linesegment of unit length is a linesegment of length 1. In conventions of sign where zero is considered...
Lewis structures, covalent bonds are indicated by linesegments, with a doubled or tripled linesegment indicating double or triple bonding, respectively...
chord is the linesegment determined by the two points, that is, the interval on the secant whose ends are the two points. A straight line can intersect...
points on the circle. Chord: a linesegment whose endpoints lie on the circle, thus dividing a circle into two segments. Circumference: the length of one...
distance between two points on a sphere is the length of a minor spherical linesegment (that is, one with central angle in [0, π]) with those endpoints. The...
In geometry, a diameter of a circle is any straight linesegment that passes through the centre of the circle and whose endpoints lie on the circle. It...
distance between two points in Euclidean space is the length of the linesegment between them. It can be calculated from the Cartesian coordinates of...
as follows: A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so is the greater to...
piecewise linear or segmented function is a real-valued function of a real variable, whose graph is composed of straight-linesegments. A piecewise linear...
whole linesegment that joins them. Equivalently, a convex set or a convex region is a subset that intersects every line into a single linesegment (possibly...
important theorem in elementary geometry about the ratios of various linesegments that are created if two rays with a common starting point are intercepted...
of a linesegment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment. The...
length of the circle, as if it were opened up and straightened out to a linesegment. More generally, the perimeter is the curve length around any closed...
quadrilateral are the linesegments that connect opposite vertices. The two bimedians of a convex quadrilateral are the linesegments that connect the midpoints...
In geometry, the mean linesegment length is the average length of a linesegment connecting two points chosen uniformly at random in a given shape. In...
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