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Topic: Line segment

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	Line Segment (geometry) - Search Results - MSN Encarta
		Line Segment (geometry), portion of a line consisting of two points, called endpoints, and all of the points that lie between these endpoints.
		The line is said to be tangent to the circle or is...
		Chord (geometry), a line segment whose endpoints lie on a curve or on a circle.
	encarta.msn.com /Line_Segment_(geometry).html (209 words)

	Method for mapping line segment intersections to machine representable points - Patent 5977988 (Site not responding. Last check: 2007-09-19)
		Depending on the nature and purpose for which the line segments are being used, these inconsistencies may have adverse real-world consequences to a user of an application that depends, for example, on accurately locating a point in a region formed by the intersecting line segments.
		The output set of line segments shown in result 96 is topologically inconsistent with set 92 of original line segments because the orientation of a vertex of the set 92 of line segments in relation to line segment 73 has changed.
		Next, a third input line segment is determined, in box 240, in the input set of input line segments that has a coordinate location within the boundary of the intersection tile or within the boundary of a tile including an endpoint of an input line segment.
	www.freepatentsonline.com /5977988.html (7255 words)

	[No title]
		Line segment intersection: The problem that we will consider is, given n line segments in the plane, report all points where a pair of line segments intersect.
		We will assume that the line segments are in general position, and so we will not be concerned with the issue of whether three or more lines intersect in a single point.
		There are three cases, depending on the type of event: Segment left endpoint: Insert this line segment into the sweep line status, based on the y coordinate of this endpoint and the y coordinates of the other segments currently along the sweep line.
	www.cs.wustl.edu /~pless/506/l4.html (1688 words)

	Line segment - Wikipedia, the free encyclopedia
		In geometry, a line segment is a part of a line that is bounded by two end points, and contains every point on the line between its end points.
		More generally, when the end points are both vertices of a polygon, the line segment is either an edge (of that polygon) if they are adjacent vertices, or otherwise 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).
	en.wikipedia.org /wiki/Line_segment (260 words)

	PlanetMath: directed segment
		Just like undirected segments in Euclidean geometry (and unlike vectors), directed segments can be divided to obtain a ratio.
		Such ratio is the number obtained dividing the undirected segments, but taking signs int oaccount (ratio of two segments with the same direction is positive, and negative otherwise).
		This is version 6 of directed segment, born on 2005-01-13, modified 2005-02-26.
	planetmath.org /encyclopedia/DirectedSegment.html (340 words)

	Basic Terms
		We may think of a line as a "straight" line that we might draw with a ruler on a piece of paper, except that in geometry, a line extends forever in both directions.
		A line segment is one of the basic terms in geometry.
		We may think of a line segment as a "straight" line that we might draw with a ruler on a piece of paper.
	www.mathleague.com /help/geometry/basicterms.htm (572 words)

	Dr. Dobb's \| Improving Line Segment Clipping \| July 22, 2001 (Site not responding. Last check: 2007-09-19)
		A "line," in analytic geometry, is a graph of a linear equation Ax + By + C = 0 where A, B are not zero.
		Therefore, a line segment is a set all points on a line between the end of points of that line segment (see Figure 3).
		These new end points must satisfy the line equation in that they must lie on the original line and be within the boundaries of the original line segment (again, see Figure 3).
	www.ddj.com /184408378?pgno=13 (5253 words)

	Graphing - Line Graphs and Scatter Plots
		When both variables are quantitative, the line segment that connects two points on the graph expresses a slope, which can be interpreted visually relative to the slope of other lines or expressed as a precise mathematical formula.
		Whether this regression line should be linear or curved depends on what your hypothesis predicts the relationship is. When a curved line is used, it is typically expressed as either a second order (cubic) or third order (quadratic) curve.
		Line graphs are like scatter plots in that they record individual data values as marks on the graph.
	www.ncsu.edu /labwrite/res/gh/gh-linegraph.html (968 words)

	PlanetMath: line segment
		An alternative, equivalent, definition is as follows: A (closed) line segment is a convex hull of two distinct points.
		More generally than above, the concept of a line segment can be defined in an ordered geometry.
		This is version 9 of line segment, born on 2004-04-19, modified 2006-08-20.
	planetmath.org /encyclopedia/LineSegment.html (155 words)

	Illuminations: IGD: Line, Ray, Segment
		A segment is a finite portion of a line and is determined by its two endpoints.
		A segment consists of its two endpoints together with all the points on the line that are between the endpoints.
		The length of a segment is a measure of its size and is the same as the distance between its endpoints.
	illuminations.nctm.org /ActivityDetail.aspx?id=53 (307 words)

	Line (mathematics) - Wikipedia, the free encyclopedia
		a, b, and c are related to the slope of the line - [a, b, c] is a vector parallel to the line, and
		In a two-dimensional space, such as the plane, two different lines must either be parallel lines or must intersect at one point.
		The "straightness" of a line, interpreted as the property that it minimizes distances between its points, can be generalized and leads to the concept of geodesics on differentiable manifolds.
	en.wikipedia.org /wiki/Line_(mathematics) (576 words)

	Partitionable and Well-ordered (Site not responding. Last check: 2007-09-19)
		then the line segment is `well-ordered.' If this is true for all line segments in the space, then the metric space is `well-ordered.' It can happen that a line segment will have multiple branches, each of which, considered separately, is well-ordered; but the whole segment is not.
		Line segments of the `taxi-cab' are generally not well-ordered.
		A line segment can bifurcate, but so long as there are only a finite number of these bifurcation points it can be locally partitionable.
	www.hep.wisc.edu /~jnb/line/node7.html (285 words)

	Line Segment -- from Wolfram MathWorld
		A closed interval corresponding to a finite portion of an infinite line.
		Line segments are generally labeled with two letters corresponding to their endpoints, say
		The length of the line segment is indicated with an overbar, so the length of the line segment
	mathworld.wolfram.com /LineSegment.html (121 words)

	Types of Line
		By varying how densely the 'lines' are packed into the space, he managed to make a human form appear in the midst of the structure.
		A line segment is the set of points on the straight line between any two points, including the two endpoints themselves.
		Line KL is at 45° to line EF.
	www.broadeducation.com /htmlDemos/AbsorbMath/TypesLine/page.htm (1190 words)

	Midpoint Formula
		If the line segments are vertical or horizontal, you may find the midpoint by simply dividing the length of the segment by 2 and counting that value from either of the endpoints.
		The length of line segment AB is 8 (by counting).
		A line segment is part of a straight line whose slope (rise/run) remains the same no matter where it is measured.
	regentsprep.org /Regents/math/midpoint/Lmidpoint.htm (457 words)

	3.4.1 Basic Line Segment Rasterization
		Line segment rasterization begins by characterizing the segment as either x-major or y-major.
		For an x-major line, no two fragments may be produced that lie in the same window-coordinate column (for a y-major line, no two fragments may appear in the same row).
		If two line segments share a common endpoint, and both segments are either x-major (both left-to-right or both right-to-left) or y-major (both bottom-to-top or both top-to-bottom), then rasterizing both segments may not produce duplicate fragments, nor may any fragments be omitted so as to interrupt continuity of the connected segments.
	www.opengl.org /documentation/specs/version1.1/glspec1.1/node47.html (648 words)

	Line2D (Java 2 Platform SE v1.4.2)
		A return value of 1 indicates that the line segment must turn in the direction that takes the positive X axis towards the negative Y axis.
		If the point is colinear with the line segment, but not between the endpoints, then the value will be -1 if the point lies "beyond (X1, Y1)" or 1 if the point lies "beyond (X2, Y2)".
		The distance measured is the distance between the specified point and the closest point on the infinitely-extended line defined by the specified coordinates.
	java.sun.com /j2se/1.4.2/docs/api/java/awt/geom/Line2D.html (2150 words)

	Line-Drawing Algorithms
		All that is needed on a vector display to generate a line is to supply the appropriate control voltages to the x and y deflection circuitry, and the electron beam would traverse the line illuminating the desired segment.
		The bottom line is that most of the popular line-drawing algorithms used to on computer screens (and laser and ink-jet printers for that matter) were originally developed for use on pen-plotters.
		Notice that line slopes of greater than one under one assignment result in slopes less than one when the names are reversed.
	www.cs.unc.edu /~mcmillan/comp136/Lecture6/Lines.html (3296 words)

	Basic Geometry Concepts
		Some basic geometry concepts, words and notations that you would need to know are points, lines, line segments, midpoints, rays, planes and space.
		A line segment with two endpoints A and B is denoted by
		A line segment can also be drawn as part of a line.
	www.onlinemathlearning.com /basic-geometry.html (263 words)

	Line Segment Range -- from Wolfram MathWorld
		A number of points on a line segment.
		lie on a line segment with the coordinates of the points such that
		Graustein (1930) and Woods (1961) use the term "range" to refer to the totality of points on a straight line, making it the dual of a pencil.
	mathworld.wolfram.com /LineSegmentRange.html (133 words)

	Intersection of a line and a facet
		Determining whether a line segment intersects a 3 vertex facet
		The procedure will be implemented given the line segment defined by its two end points and the facet bounded by its three vertices.
		For the intersection point to lie on the line segment, mu must be between 0 and 1.
	astronomy.swin.edu.au /pbourke/geometry/linefacet (381 words)

	Rule 90 on a Line Segment
		Because of the reflection symmetry, the center cell is always dead, and so the cell to the right of the center cell evolves as if it were at the end of a line segment.
		E.g., one will get replication if the initial pattern (on the finite line segment) is a single live cell -- and n+1 is not equal to a power of 2.
		on a line segment of length n as follows: the first cell is live, and all the rest are dead.
	web.syr.edu /~rsholmes/games/cellaut/r90.html (1903 words)

	LEARNING POINT (Site not responding. Last check: 2007-09-19)
		A line segment is only part of line.
		Perpendicular lines are a special type of intersecting lines that come to a right angle.
		Then draw a line, parallel lines, etc on the overhead and have them write how you would say it on their whiteboards.
	students.uwsp.edu /jjagl925/line.htm (831 words)

	Segments ( segment )
		An instance s of the data type segment is a directed straight line segment in the two-dimensional plane, i.e., a straight line segment [p, q] connecting two points
		s is initialized to the segment with start point p, direction alpha, and length length.
		if line(s) and line(t) intersect in a single point this point is assigned to p and the result is true, otherwise the result is false.
	www.cs.cmu.edu /~smonti/html/leda/segment.html (347 words)

	: Class Line
		Construct a line segment from (left,top) to (right,bottom) of a rectangle.
		Move the line segment so that bottom is at y.
		Move line segment so that left side is at x.
	www-users.cs.york.ac.uk /~bernat/ptc/element/doc/element/Line.html (434 words)

	Example: A Simple Line Segment
		As our first example of a self-healing structure, we consider the special case of a simple line segment.
		As we recall from the previous section, starting with two distantly located endpoints, we wish to organize the intermediate processors such that a set of labelled processors lies on the shortest path between the two endpoints.
		The shortest path metric is determined by a gradient field which has been initiated by one of the endpoints.
	www.swiss.ai.mit.edu /~zucker/paper/line-segment/node1.html (238 words)

	Red & Blue Line Segment Intersections
		Select a file to use for both the red and blue line segments from the choice boxes.
		The current segment and the segments it intersects will be highlighted.
		If one segment ends on a second segment, the second segment is broken.
	www.cs.unc.edu /~mantler/research/redblue (421 words)

	Endless knot - Wikipedia, the free encyclopedia
		Draw line segment GE but leaving a pair of gaps at 1/4 and 3/4 of the way between G and E.
		Draw line segment LO but leaving a pair of gaps at 1/4 and 3/4 of the way between L and O.
		Draw line segment KP but leaving a pair of gaps at 1/4 and 3/4 of the way between K and P.
	en.wikipedia.org /wiki/Endless_knot (343 words)

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