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Topic: Chord (geometry)

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	Encyclopedia article: Chord (geometry) (Site not responding. Last check: 2007-11-06)
		A chord of a curve (The trace of a point whose direction of motion changes) is a geometric (additional info and facts about geometric) line segment whose endpoints both lie on the curve.
		Chords of a circle (Ellipse in which the two axes are of equal length; a plane curve generated by one point moving at a constant distance from a fixed point) have a few known properties.
		Chords are equidistant from the center if and only if their lengths are equal.
	www.absoluteastronomy.com /encyclopedia/c/ch/chord_(geometry).htm (147 words)

	Encyclopedia: Chord (geometry)
		The chord of an angle is the length of the chord between two points on a unit circle separated by that angle.
		Chords equidistant from the centre of a circle are equal.
		The angle between a tangent and chord is equal to the subtended angle on the opposite side of the chord.
	www.nationmaster.com /encyclopedia/Chord-(geometry) (717 words)

	Chord (Site not responding. Last check: 2007-11-06)
		When a chord progression resolves to a III or IV chord, it is called a Tonic Substitution, because the stable III or VI chord is being used as a substitute for the expected I chord.
		The II and IV chords have Subdominant Function, partially due to the fact that they are a fifth away from the Dominant chords of a key, and partially because in their own Tonic keys, their respective Dominant chords are built on the root notes of the stable Tonic function I and VI.
		The dominant seventh chord is useful to composers because of the fact that it is a major chord with a very strong sound, that also includes a tritone between the third and seventh of the chord.
	www.termsdefined.net /ch/chord.html (2486 words)

	Hyperbolic geometry - Wikipedia, the free encyclopedia
		Hyperbolic geometry is a non-Euclidean geometry, meaning that the parallel postulate of Euclidean geometry is rejected.
		The parallel postulate in Euclidean geometry states that given a line l and a point P not on l, there is a unique line through P that does not intersect l.
		Hyperbolic geometry was initially explored by Giovanni Gerolamo Saccheri in the 1700s, who nevertheless believed that it was inconsistent, and later by János Bolyai, Karl Friedrich Gauss, and Nikolai Ivanovich Lobachevsky, after whom it is sometimes named.
	wikipedia.com /wiki/Hyperbolic_geometry (1484 words)

	chord, in geometry. The Columbia Encyclopedia, Sixth Edition. 2001-05
		), in geometry, straight line segment both end points of which lie on the circumference of a circle or other curve; it is a segment of a secant.
		A chord passing through the center of a circle is a diameter.
		In the same circle or in equal circles, equal chords subtend equal arcs and equal central angles.
	www.bartleby.com /65/ch/chord-geo.html (111 words)

	MSN Encarta - Search Results - Chord (geometry) (Site not responding. Last check: 2007-11-06)
		Geometry may be thought of as the science of space.
		Chord (geometry), a line segment whose endpoints lie on a curve or on a circle.
		A chord that passes through the center of a circle is called a...
	beta.encarta.msn.com /Chord_(geometry).html (173 words)

	World War 1 and 2 - Chord
		Some particular kinds of chord are named according to the notes of the scale that they contain.
		In reference to aircraft, chord refers to the distance between the front and back of a wing, referred to as the leading and trailing edges, measured in the direction of the normal airflow.
		In computing, a chord could refer to mouse chording or a chorded keyboard, where multiple buttons are held down to produce a specific action or to type a character.
	www.worldwardiary.com /history/Chord (132 words)

	Chord (geometry) - Encyclopedia, History, Geography and Biography (Site not responding. Last check: 2007-11-06)
		Among properties of chords of a circle are the following:
		If the line extensions (secant lines) of chords AB and CD intersect at a point P, then their lengths satisfy AP·PB = CP·PD (power of a point theorem).
		Chord (geometry), Chords of a circle, Articles to be merged and Curves.
	www.arikah.net /encyclopedia/Chord_%28geometry%29 (163 words)

	Circles (from Euclidean geometry) -- Encyclopædia Britannica (Site not responding. Last check: 2007-11-06)
		A chord AB is a segment in the interior of a circle connecting two points (A and B) on the circumference.
		In its rough outline, Euclidean geometry is the plane and solid geometry commonly taught in secondary schools.
		In particular, geometry may be thought of as offering (1) precise definitions of many different figures; (2) construction methods for drawing figures; (3) a wealth of facts about the figures; and, most important, (4) ways to prove the facts.
	www.britannica.com /eb/article-235567 (874 words)

	Analytic Geometry Summary - Analytic Geometry Information
		Analytic geometry is a branch of mathematics which uses algebraic equations to describe the size and position of geometric figures on a coordinate system.
		Using the ideas of analytic geometry, it is possible to calculate the distance between the two points A and B, represented by the line segment AB which connects the points.
		The chord which connects both vertices is the major axis and the chord perpendicular to it is known as the minor axis.
	www.bookrags.com /sciences/mathematics/analytic-geometry-wom.html (2400 words)

	Geometry in nature (Site not responding. Last check: 2007-11-06)
		geometry help (spiritual fasting) geometry formula, geometry terms, geometry worksheets is focused on fractal geometry computational geometry, cogo coordinate geometry related to euclidean geometry The best thing about basic geometry and find details of definition geometry The best thing about geometry project, plane geometry geometry game resources.
		dictionary geometry and details of non euclidean geometry, high school geometry by geometry problem is required by geometry lesson plan and related to geometry homework help hyperbolic geometry.
		geometry math shape, geometry textbook is focused on calculus with analytic geometry, geometry measurement is geometry mathematician by geometry hall prentice either euclidian geometry non,
	goldenspiral.eviss.com /geometry-in-nature.html (434 words)

	Encyclopedia: Circle
		The points can only be those that are part of a conic section; within the set of a plane bisecting a cone.
		In mathematics, Euclidean geometry is the familiar kind of geometry on the plane or in three dimensions.
		A synonym for ball (in geometry or topology, and in any dimension) is disk (or disc Geometry In metric geometry, a ball is a set containing all points within a specified distance of a given point.
	www.nationmaster.com /encyclopedia/Circle (475 words)

	Keymath.com : Discovering Geometry : Dynamic Geometry Explorations : Chord Properties
		Recall that the measure of an arc is defined as the measure of the central angle that intercepts it.
		The lengths of the segments of chord AB and the distances from the center of the circle to the chords are given.
		Formulate the Perpendicular to a Chord Conjecture: The perpendicular from the center of a circle to a chord is the _____ of the chord.
	www.keymath.com /DG/dynamic/chords.html (538 words)

	CER Chord Views for Shots 111600- (2003) (Site not responding. Last check: 2007-11-06)
		These tables give the CER view chord geometry in a cylindrical coordinate system with symmetry axis along the tokamak symmetry axis.
		The major radius for vertical chords is the point where the chord crosses the vessel midplane; for the tangential chords, it is the point where the chord crosses the centerline of the neutral beam.
		The angles are measured from the view chord to the neutral beam centerline or to the toroidal direction at the point where the major radius is defined.
	fusion.gat.com /diag/cer/views_by_beams_03.html (381 words)

	[No title] (Site not responding. Last check: 2007-11-06)
		The difference between the two splines is that the uniform spline has edit points that occur at regular parameter values, and the non-uniform chord length spline has parameter values that occur at irregular values.
		For Chord Length or non-uniform parameterization, Alias assigns an initial parameter value of zero to the start of the curve, then increases the value proportionally to the chord length between successive edit points.
		The difference between Rational and Non-rational geometry is outlined in the two diagrams below showing a circle drawn with both types of geometry.
	www.cclabs.missouri.edu /things/instruction/aw/Learning_Alias/Intro2_Learning.html (4367 words)

	chord (geometry)
		In geometry, a straight line joining any two points on a curve.
		The chord that passes through the centre of a circle (its longest chord) is the diameter.
		The longest and shortest chords of an ellipse (a regular oval) are called the major and minor axes, respectively.
	www.uk.tiscali.com /reference/encyclopaedia/hutchinson/m0006652.html (113 words)

	Track Geometry Control System
		Track Geometry Recorder is used to obtain a set of measurements from which the track shape can be reconstructed, together with the locations of essential track features such as cant transitions and fixed lift and slue positions.
		Complementary to TG Recorder, Track Geometry Checker acquires a re-measurement of the track to allow a comparison to be made of track qualities before and after maintenance.
		Track Geometry Viewer calculates and displays graphs of a variety of track parameters, either from recording runs or where designed, checked or audited track measurements are available, from the track geometry before, as designed and after maintenance.
	davidcm.123go.co.uk /tgcs_v11.htm (1031 words)

	Torus - SkyGamers (Site not responding. Last check: 2007-11-06)
		In geometry, a torus (pl. tori) is a doughnut shaped solid of revolution generated by revolving a circle about an axis coplanar with the circle.
		If the axis of rotation does not intersect the circle, the torus has a hole in the middle and resembles a ring doughnut, a hula hoop or an inflated tire (U.K. tyre).
		The other case, when the axis of rotation is a chord of the circle, produces a sort of squashed sphere resembling a round cushion.
	www.skygamers.com /Torus (360 words)

	Circle chord theorems (Site not responding. Last check: 2007-11-06)
		Chords are lines that connect two points on the outside of the circle.
		Chords of equal length are equal distance form the centre of the circle (perpendicular bi-sects same length)
		You take the two points, subtract the x's, subtract the y's, and square the answer to both.
	stm.nbed.nb.ca /Grassroots/cchord.htm (172 words)

	Chord progressions. Chord. Tatet (Site not responding. Last check: 2007-11-06)
		Provides lessons for the beginner piano player seeking to learn piano scales, chords, chord progressions, blues progressions, and identifying notes on sheet music.
		* A Chord (geometry)chord is a geometrygeometric figure.
		* In reference to aircraft, chord (aircraft)chord refers to the distance between the front and back of a wing, referred to as the leading and trailing edges, measured in the di...
	tatet.com /search-chord_progressions.html (101 words)

	Power center - RecipeFacts (Site not responding. Last check: 2007-11-06)
		In geometry, the power center of three circles, also called the radical center, is the intersection point of the three radical lines.
		Radical lines are usually chords connecting the intersection points of a pair of circles, but can be generalized as dividing non-intersecting circles into equal circle power.
		If three circles are the same size and symmetrically distributed, the power center is the same as the geometric center.
	www.recipeland.com /encyclopaedia/index.php/Power_center (113 words)

	The Machinist's Friend solves Chord calculations.
		A Chord Length is a line that touches the circumference of a circle at two points.
		When the two pieces of information are entered the Chord Length will be calculated by using the tab, enter or, short cut keys, or click the Calculate Chord Button.
		When the Chord Length is calculated another Chord Length will be drawn on the inside of the large working circle.
	www.machinistsfriend.com /chord.htm (151 words)

	CIRCLE GEOMETRY (Site not responding. Last check: 2007-11-06)
		Students will use geometry sketchpad to explore the properties of circle geometry.
		CHORD: a line segment that has both endpoints on the circle.
		There are two properties of chords in circles.
	www.lcsd150.ab.ca /english/instructional/ict/ictprojects/circle_geo.htm (2110 words)

	Chord - (Site not responding. Last check: 2007-11-06)
		Chord (geometry), a line segment joining two points on a curve
		Chord (aviation), the distance between the front and back of a wing, measured in the direction of the normal airflow.
		Mouse chording or a chorded keyboard, where multiple buttons are held down simultaneously to produce a specific action
	www.grohol.com /psypsych/Chord (166 words)

	Conjectures in Geometry: Congruent Chords (Site not responding. Last check: 2007-11-06)
		If two chords of a circle are congruent, then they determine central angles which are equal in measure.
		If two chords of a circle are congruent, then their intercepted arcs are congruent.
		Two congruent chords in a circle are equal in distance from the center.
	www.geom.umn.edu /~dwiggins/conj38.html (155 words)

	Chord Definition (Site not responding. Last check: 2007-11-06)
		This doesn't appear in the input list but is an important definition in airfoil geometry.
		The chord length is the distance from the leading edge to the trailing edge of the airfoil.
		The chord line is a straight line connecting the leading and trailing edges of an airfoil.
	www.lerc.nasa.gov /WWW/K-12/aerosim/Manual/fsim001u.htm (48 words)

	AllRefer.com - chord, in geometry (Mathematics) - Encyclopedia
		AllRefer.com - chord, in geometry (Mathematics) - Encyclopedia
		chord[kOrd] Pronunciation Key, in geometry, straight line segment both end points of which lie on the circumference of a circle or other curve; it is a segment of a secant.
		More articles from AllRefer Reference on chord, in geometry
	reference.allrefer.com /encyclopedia/C/chord-geo.html (170 words)

	Chord factors - Wholeo dome frame geometry archive 2 (Site not responding. Last check: 2007-11-06)
		Chord factors - Wholeo dome frame geometry archive 2
		In the calculations, I multiplied the chord factor for the length by the radius of the dome (7 feet).
		In 2003, I can't remember why there are numbers in parentheses, 3 or 6.
	www.wholeo.net /Trips/Wholeo/GlassDome/location/frame/whDomeLocFrameGeom2.htm (84 words)

	Butterfly theorem - tScholars.com (Site not responding. Last check: 2007-11-06)
		The butterfly theorem is a classical result in Euclidean geometry, it can be stated as follows:
		Let M be the midpoint of a chord PQ of a circle, through which two other chords AB and CD are drawn; AD and BC intersect chord PQ at X and Y correspondingly.
		Butterfly theorem, animated proof by Antonio Gutierrez from "Geometry Step by Step from the Land of the Incas"]
	www.tscholars.com /encyclopedia/Butterfly_theorem (122 words)

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