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Topic: Origin of coordinates

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Coordinates

Celestial coordinate

Horizontal coordinate system

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	Idaho Statutes
		The origin of coordinates is at the intersection of the meridian 112º10' west of Greenwich and the parallel 41º40' north latitude.
		The origin of coordinates is at the intersection of the meridian 114º00' west of Greenwich and the parallel 41º40' north latitude.
		The origin of coordinates is at the intersection of the meridian 115º45' west of Greenwich and the parallel 41º40' north latitude.
	www3.state.id.us /cgi-bin/newidst?sctid=550170005.K (530 words)

	Title 33 - §805. Technical definition
		The origin of the coordinates is at the intersection of the meridian 68`30' west of Greenwich and the parallel 43`50' north latitude.
		The origin of coordinates is at the intersection of the meridian 70` 22' 30" west of Greenwich and the parallel 42` 50' 00" north latitude.
		The origin of coordinates is at the intersection of the meridian 69` 07' 30" west of Greenwich and the parallel 43` 30' 00" north latitude.
	janus.state.me.us /LEGIS/STATUTES/33/title33sec805.html (532 words)

	Coordinate system - Wikipedia, the free encyclopedia
		By convention the origin of the coordinate system in Cartesian coordinates is the point (0, 0,..., 0), which may be assigned to any given point of Euclidean space.
		Curvilinear coordinates are a generalization of coordinate systems generally; the system is based on the intersection of curves.
		Plücker coordinates are a way of representing lines in 3D Euclidean space using a six-tuple of numbers as homogeneous coordinates.
	en.wikipedia.org /wiki/Coordinates (708 words)

	Nevada Revised Statutes: Chapter 327
		The origin of coordinates is at the intersection of the meridian 115°35¢ west of Greenwich and the parallel 34°45¢ north latitude.
		The origin of coordinates is at the intersection of the meridian 116°40¢ west of Greenwich and the parallel 34°45¢ north latitude.
		The origin of coordinates is at the intersection of the meridian 118°35¢ west of Greenwich and the parallel 34°45¢ north latitude.
	www.leg.state.nv.us /nrs/NRS-327.html (2118 words)

	33-132 - Coordinates of system; zone definitions (Site not responding. Last check: 2007-11-03)
		The origin of the coordinates is at the intersection of the meridian 113 o 45' 00" west of Greenwich and the parallel of 31 o 00' 00" north latitude.
		The origin of the coordinates is at the intersection of the meridian 111 o 55' 00" west of Greenwich and the parallel of 31 o 00' 00" north latitude.
		The origin of coordinates is at the intersection of the meridian 110 o 10' 00" west of Greenwich and the parallel of 31 o 00' 00" north latitude.
	www.azleg.state.az.us /ars/33/00132.htm (413 words)

	Coordinates and similar figures
		Coordinates are pairs of numbers that are used to determine points in a plane, relative to a special point called the origin.
		Point D has coordinates (9,-2.5); it is 9 units to the right, and 2.5 units down from the origin.
		Point E has coordinates (-4,-3); it is 4 units to the left, and 3 units down from the origin.
	www.mathleague.com /help/geometry/coordinates.htm (581 words)

	Section 60-451 Missouri coordinate system zones precis
		The origin of coordinates is at the intersection of the meridian 90 degrees--30 minutes west of Greenwich and the parallel 35 degrees--50 minutes north latitude.
		The origin of coordinates is at the intersection of the meridian 92 degrees--30 minutes west of Greenwich and the parallel of 35 degrees--50 minutes north latitude.
		The origin of coordinates is at the intersection of the meridian 94 degrees--30 minutes west of Greenwich and the parallel 36 degrees--10 minutes north latitude.
	www.moga.state.mo.us /statutes/C000-099/0600000451.HTM (578 words)

	34-8-4 (Site not responding. Last check: 2007-11-03)
		The Rhode Island coordinate system of 1927 is a transverse Mercator projection of the Clarke spheroid of 1866, having a central meridian 71° 30' west of Greenwich, on which meridian the scale is set at one part in one hundred sixty thousand (160,000) too small.
		The origin of coordinates is at the intersection of the meridian 71° 30' west of Greenwich and the parallel 41° 05' north latitude.
		The Rhode Island coordinate system of 1983 is a transverse Mercator projection of the North American datum of 1983 having a central meridian 71° 30' west of Greenwich, on which meridian the scale is set at one part in one hundred sixty thousand (160,000) too small.
	www.rilin.state.ri.us /Statutes/TITLE34/34-8/34-8-4.HTM (236 words)

	PlanetMath: origin
		In some contexts the choice of “origin” can be arbitrary and thus not natural.
		Most theorems about local properties of manifolds are stated for values near the origin.
		This is version 2 of origin, born on 2005-02-22, modified 2005-02-23.
	planetmath.org /encyclopedia/Origin.html (122 words)

	lintran (Site not responding. Last check: 2007-11-03)
		Scale factor to be applied to the input coordinates, relative to the current origin [x1,y1].
		Coordinates of the new origin; input coordinates are shifted by an amount (x2-x1) and (y2-y1).
		Take the coordinates of a star in frame1 to be the current origin (e.g., [35.7, 389.2]); the new origin is then the coordinates of the same star in the second exposure ([36.9, 400.0]).
	stsdas.stsci.edu /cgi-bin/gethelp.cgi?lintran (486 words)

	Autodesk - AutoCAD - Introduction to 3D Coordinates (Site not responding. Last check: 2007-11-03)
		The result is a new coordinate (in this case 7,3—the x coordinate of the first endpoint and the y coordinate of the second endpoint).
		For example, specify the xy coordinate of one endpoint (which might be at 7,4,2), and then supply the z coordinate of another endpoint (which might be at 2,3,6).
		The result is a new coordinate (in this case 7,4,6—the xy coordinate of the first endpoint and the z coordinate of the second endpoint).
	usa.autodesk.com /adsk/servlet/item?siteID=123112&id=3028436&linkID=2475176 (1597 words)

	A More Practical Arrangement
		...by using an observer located at the origin of the coordinate system, equipped with a clock, who coordinates the arrival of the light signal originating from the event to be timed and traveling to his position through empty space.
		Since we define motion in terms of inertial coordinates, these experiments imply that the propagation of light is isotropic in terms of the very same class of coordinate systems for which mechanical inertia is isotropic.
		He begins with an inertial coordinate system x,y,z,t, and posits another system of inertial coordinates x”,y”,z”,t” with its axes aligned and with its origin moving in the positive x direction with speed v in terms of the original system.
	www.mathpages.com /rr/s1-06/1-06.htm (3384 words)

	Cartesian coordinates - a Whatis.com definition
		Cartesian coordinates, also called rectangular coordinates, provide a method of rendering graphs and indicating the positions of points on a two-dimensional (2D) surface or in three-dimensional (3D) space.
		Positions or coordinates are determined according to the east/west and north/south displacements from the origin.
		Positions or coordinates are determined according to the east/west (x), north/south (y), and up/down (z) displacements from the origin.
	whatis.techtarget.com /gDefinition/0,294236,sid44_gci824296,00.html (441 words)

	HighBeam Encyclopedia - Cartesian coordinates (Site not responding. Last check: 2007-11-03)
		In a plane, the point P is specified by the pair of numbers (x,y) representing the distances of the point from two intersecting straight lines, referred to as the x -axis and the y -axis.
		The point of intersection of these axes, which are called the coordinate axes, is known as the origin.
		In oblique coordinates the axes are not perpendicular; the abscissa of P is measured along a parallel to the x -axis, and the ordinate is measured along a parallel to the y -axis, but neither of these parallels is perpendicular to the other coordinate axis as in rectangular coordinates.
	www.encyclopedia.com /html/C/Cartes-coo.asp (404 words)

	Positive and negative numbers
		Number coordinates are pairs of numbers that are used to determine points in a grid, relative to a special point called the origin.
		Point B has coordinates (-3,1), since it is 3 units to the left, and 1 unit up from the origin.
		Point C has coordinates (-4,-2.5), since it is 4 units to the left, and 2.5 units down from the origin.
	www.mathleague.com /help/posandneg/posandneg.htm (1681 words)

	State Plane Coordinates vs. Surface Coordinates, Part 2. - GPS Observer - Point of Beginning (Site not responding. Last check: 2007-11-03)
		Forming right angles with the Axis of Y and to the south of the area shown on the grid is the Axis of X. The point of intersection of these axes is the origin of coordinates.
		The linear distance between two points on a State coordinate system, as obtained by computation or scaled from the grid, is termed the grid length of the line connecting those points.
		By using a conformal map projection as the base for a state coordinate system and limiting one dimension of the area which is to be covered by a single grid, two things are accomplished [this is a repeat from Part 1, but worded differently].
	www.pobonline.com /CDA/Articles/GPS_Observer/7bf5f0b5ba0f6010VgnVCM100000f932a8c0____ (1684 words)

	Coordinates--lesson plan #9
		Optional--extending this to (x,y,z) coordinates in 3-dimensional space, to (r,φ) plane polar coordinates and to 3-dimensional polar coordinates (r,θ, λ).
		The coordinates x and y are defined as before, in some plane, and z is measured from the origin in a direction perpendicular to the (x,y) plane.
		Polar coordinates also have an "origin" O as reference point, but instead of (x,y), they use the distance r from O to the given point P, and the angle φ ("phi"--Greek f) between the line OP ("radius"--hence the letter "r") and some reference line.
	www-istp.gsfc.nasa.gov /stargaze/Lcelcoor.htm (1578 words)

	Natural Coordinates
		The Tetrahedral Coordinate system is the first of several Natural Coordinate systems described here, which are based upon four coordinates, each of which is balanced by the sum of the other three, making it possible to add or subtract any number from all coordinates and reach the same position in space.
		It is common to abbreviate graphs in Cubic Coordinates to the surface of a plane by omitting the coordinate of one dimension orthogonal to the plane.
		The length of a vector is the distance from the origin to the position identified by the coordinates.
	www.xmission.com /~ray/tmp/ray.jhax.net/NaturalCoordinateSystem/NaturalCoordinateSystem.html (5009 words)

	SparkNotes: New SAT: Coordinate Geometry
		The new SAT has stepped up the emphasis on coordinate geometry, which is the study of geometric shapes on the coordinate plane.
		The coordinates of all other points indicate how far they are from the origin.
		When a quadratic equation is graphed on the coordinate plane, the result is a parabola, which is a giant man-eating insect.
	www.sparknotes.com /testprep/books/newsat/chapter20section9.rhtml (2048 words)

	Idaho Statutes TITLE 55 PROPERTY IN GENERAL
		For state plane coordinate system 27 (SPCS 27), one (1) of these distances, to be known as the "x-coordinate," shall give the position in an east-and-west direction; the other, to be known as the "y-coordinate," shall give the position in a north-and-south direction.
		For state plane coordinate system 83 (SPCS 83), one (1) of these distances, to be known as "northing" or "N" shall give the position in a north-and-south direction; the other, to be known as the "easting" or "E" shall give the position in an east-and-west direction.
		These coordinates shall be made to depend upon and conform to the plane rectangular coordinate values for the monumented points of the North American national geodetic horizontal network as published by the national ocean service/national geodetic survey or its successors, and such plane coordinates shall have been computed on the systems defined in this chapter.
	www.adaweb.net /devserv/survey/55chap17.htm (967 words)

	Coordinate Connections
		Coordinates of points to the right of the origin are positive numbers.
		Coordinates of points down from the origin have coordinates that are negative numbers.
		Distribute a Coordinate Grid worksheet to each student to use as the vocabulary is discussed.
	www.uen.org /Lessonplan/preview.cgi?LPid=15431 (1069 words)

	Coordinates
		Coordinates are sets of numbers that describe position-- position along a line, on a surface or in space.
		Latitude and longitude, or declination and right ascension, each is a system of coordinates on the surface of a sphere--on the globe of the Earth or the globe of the heavens.
		One system ("polar coordinates") uses the length r of the line OP from the origin to P (i.
	www-istp.gsfc.nasa.gov /stargaze/Scelcoor.htm (967 words)

	Rectangular coordinates - A complete course in algebra
		The coordinate 0 is called the origin of coordinates.
		They are also called Cartesian coordinates, after the 17th century philosopher and mathematician René Descartes; for he was one of the first to exploit the geometrical possibilities of coordinates.
		Name the coordinates of the right angle at C. C has the same x-coordinate as B. Therefore its x-coordinate is 15.
	www.themathpage.com /alg/rectangular-coordinates.htm (798 words)

	Projecting a Ray from 2D Screen Coordinates
		Convert screen coordinates, in pixels, to normalized coordinates, with an origin at the center of the viewport and values on each axis ranging from -1.0 to 1.0.
		Screen coordinates are expressed in number of pixels, while coordinates in the frustum are normalized to a range of -1.0 to 1.0.
		To transform our coordinates back to world space, we will need an "inverse matrix" of our view matrix - that is, a matrix that does the reverse of the view matrix, and thus given a coordinate that has been multiplied by the view matrix, will return the original coordinate.
	www.mvps.org /directx/articles/rayproj.htm (1487 words)

	Riemannian Geometry
		If there exists a coordinate system at a point on the manifold such that the metric components are constant in the first and second order, then the manifold is said to be totally flat at that point (not just asymptotically flat).
		It is called the Riemann-Christoffel curvature tensor. At the origin of coordinates such that the first derivatives of the metric coefficients vanish, the components of the Riemann tensor are
		From the shape of the loci of constant X and constant Y, we infer that the transformation between the original (x,y) coordinates and the Riemann normal coordinates (X,Y) is approximately of the form
	www.mathpages.com /rr/s5-07/5-07.htm (2194 words)

	PHY 221 Lab #1: Introduction to Measurements
		Using a meter stick, measure the position of the angle bracket with respect to the origin (express your measurements in meters).
		Now, move the angle bracket farther from the origin (along the direction defined by the origin and the initial position), and measure its location again.
		Set the sonic ranger at the spot you called your origin of coordinates, and leave the meter stick aligned as you had it before.
	www.phy.syr.edu /courses/PHY221.03Fall/manuals/position.html (1051 words)

	QNX Developer Support
		The origin is an offset from the graphic widget's origin, which is used as the origin of the coordinate space for the graphics primitive.
		This point is the origin of the primitive's coordinate space, in pixels, relative to the widget's origin.
		Note the resulting bounding box of the widget as well as the origin of the polygon's coordinate space, which is fixed at position (50,50) of the widget's canvas.
	www.qnx.com /developers/docs/qnx_6.1_docs/photon/widget_ref/ptgraphic.html (1300 words)

	Indiana Code 32-19-1 (Site not responding. Last check: 2007-11-03)
		The origin of coordinates is at the intersection of the meridian 85 degrees 40 minutes west of Greenwich and the parallel 37 degrees 30 minutes north latitude.
		(2) The "Indiana coordinate system of 1927, west zone" is a transverse Mercator projection of the Clarke spheroid of 1866, having a central meridian 87 degrees 05 minutes west of Greenwich, on which meridian the scale is set at one part in 30,000 too small.
		The origin of coordinates is at the intersection of the meridian 87 degrees 05 minutes west of Greenwich and the parallel 37 degrees 30 minutes north latitude.
	www.in.gov /legislative/ic/code/title32/ar19/ch1.html (786 words)

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