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Topic: Coordinate axis

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	Coordinate Systems, Vectors, Planes FAQ
		The X axis is the centre line, the Z axis is the direction from one goal to another and the Y axis is the height of the football from the ground.
		Multiplying each coordinate (x,y,z) with the associated parameters (A,B,C) and adding D. If the evaluation of a point with the plane equation generates a positive value then the point is said to be "in front of the plane".
		In a virtual 3D environment, the position of an object is represented as a vector coordinate, the sloping surface as a plane equation and gravity is as a direction vector.
	www.j3d.org /matrix_faq/vectfaq_latest.html (5820 words)

	Cartesian Coordinate System
		Points on the real axis relate to real numbers such that the origin is associated with 0 and the point at the unit distance from it in the chosen direction with 1.
		All other points are assigned real numbers which are their distances to the origin measured with the given unit length and taken with the sign plus or minus depending whether they are on the same side from the origin as the number 1.
		We are interested in the coordinates of the points of intersection of the two lines with the axes.
	www.cut-the-knot.org /Curriculum/Calculus/Coordinates.shtml (522 words)

	specwcs (Site not responding. Last check: 2007-10-10)
		The dimensional mapping is important because the dispersion axis for the nspec spatial spectra as specified by the DISPAXIS keyword or task parameter, or the axis definitions for the equispec and or multispec formats are always in terms of the original physical axes.
		A value of -1 indicates the coordinates are not dispersion coordinates (the spectrum is not dispersion calibrated), a value of 0 indicates linear dispersion sampling, a value of 1 indicates log-linear dispersion sampling, and a value of 2 indicates a nonlinear dispersion.
		To evaluate a wavelength at some physical coordinate, not necessarily an integer, a linear interpolation is used between the nearest integer physical coordinates and the desired physical coordinate where a and b are the usual fractional intervals k=int(p), a=(k+1)-p, b=p-k, and x_0=a, and x_1=b.
	stsdas.stsci.edu /cgi-bin/gethelp.cgi?specwcs (4004 words)

	Coordinate Systems (Site not responding. Last check: 2007-10-10)
		The coordinate system one chooses is usually based on the symmetry of the problem being considered or by various restrictions imposed on the problem such as motion in a plane or on a line.
		One convention for labeling the planes is according to the coordinate that the plane represents.
		Polar coordinates use one coordinate that is a distance and one that is an angle to define a point in the plane.
	www.geocities.com /physics_world/ma/coord_system.htm (1227 words)

	Axis - Wikipedia, the free encyclopedia
		Axis of rotation, or axis of symmetry, in geometry-related contexts
		Axis (anatomy), the second cervical vertebra of the spine
		The Axis Zeon, a faction in the Universal Century timeline
	en.wikipedia.org /wiki/Axis (181 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)

	Graphic display system for raster scanning involving wobbling - Patent 4257044
		The given values are preset to a display coordinate X axis counter and a display coordinate Y axis counter, respectively, so as to bring a leading picture element of the partial pattern extracted from the original pattern into correspondence with the given coordinates of the display coordinates.
		The display device according to claim 1, wherein said display coordinate X axis counter is reset and said display coordinate Y axis counter is subjected to increment by detecting the final scanning line of said partial pattern extracted from said original pattern or by detecting the next leading scanning line.
		The output from the Y axis temporary memory register 50 is supplied through a multiplexer 51 to that terminal of the comparator 48 which receives the preset value V.sub.Y. As a result, it is possible to set the content stored in the Y axis temporary memory register 50 to the Y axis counter 47.
	www.freepatentsonline.com /4257044.html (4813 words)

	Rectangular coordinates - A complete course in algebra
		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.
		The coordinates of the origin are (0, 0).
		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)

	Motion Summary
		The other coordinate axis we will use is a number line fixed in space.
		The coordinate axii will be numbered in a regular pattern, but the size of the step and the location of zero is up to the person to define.
		The coordinate axis step size is identified by the unit.
	www.nku.edu /~cinsam/intsci/sci110/worksheets/motionsummary.html (2706 words)

	Coordinate difference calculating device - Patent 5572447
		When coordinates of the i-th particle are indicated by (x.sub.i, y.sub.i, z.sub.i) and coordinates of a j-th particle are indicated by (x.sub.j, y.sub.j, z.sub.j), the particle distance r.sub.j is obtained as follows:
		As described above, according to the invention, the comparing unit for checking the difference between coordinates of particle j and those of particle i to judge whether it is smaller than -(1/2) of the length of one side of a periodic boundary condition or greater than 1/2 of the length is provided.
		It is assumed that coordinates of particle i are indicated by (x.sub.i, y.sub.i, z.sub.i) and coordinates of particle j by (x.sub.j, y.sub.j, z.sub.j).
	www.freepatentsonline.com /5572447.html (3744 words)

	General Outline For Construction Plane Tutorial
		Press the "w" key on the keyboard, press enter, and note that the construction plane's Z axis is automatically oriented to be perpendicular to the perspective view plane.
		Note also that the coordinate axis display in each of the orthographic views has changed to reflect the new construction plane axes and are denoted as cpx, cpy and cpz.
		Reasons for using alternate coordinate axes were given along with instructions on both the free plane and surface plane methods of creating construction planes.
	www.uiowa.edu /~image/projects/3D_Tutorials/Tutorial-Bike/tutorial.html (6361 words)

	SparkNotes: SAT Math Level 2: The Coordinate Plane
		The coordinate plane is a plane determined by two perpendicular lines, the x-axis and the y-axis.
		The x-axis is the horizontal axis, and the y-axis is the vertical axis.
		The second coordinate in a coordinate pair is the y-coordinate.
	www.sparknotes.com /testprep/books/sat2/math2c/chapter8section1.rhtml (462 words)

	Fermilab/FMI Coordinate Systems
		The coordinates in the LTCS are defined in the FMI Plane.
		The coordinates of the cell boundaries 308, 522, and 620 in the FMI Plane (and other coordinate systems) are given in Table A1 in Appendix A. To convert the LTCS coordinates to global geodetic coordinates the FMI Plane must be tilted by a small angle to a projection plane
		The coordinates of the cell boundaries 308, 522, and 620 in the FMI Plane (and other coordinate systems) are given in Table A1.
	ppd.fnal.gov /align/mi-0209.html (4146 words)

	GDV Conventions
		You can have both a regular coordinate axis and an "edge" coordinate axis, and GDV will tell which is which by the cardinality.
		The grid coordinates can then be represented simply by two orthogonal coordinates axes, x and y, and the projection function is used to map them to lat/lon.
		The (x,y) coordinates are typically in units of "km on the projection plane".
	www.unidata.ucar.edu /staff/caron/Conventions.html (1230 words)

	MathSteps: Grade 5: Graphing Integers: What Is It?
		Graphing on the coordinate plane is a way to visualize relationships between two quantities.
		An ordered pair is enclosed in a pair of parentheses with the first number representing a location on the x-axis, the x-coordinate, and the second number representing a location on the y-axis, the y-coordinate.
		Also shown on the coordinate plane are points B (-3, 5), C (-1, -4), D (0, -3), E (2,4) and F (4,0).
	www.eduplace.com /math/mathsteps/5/c/index.html (493 words)

	Pre-Algebra: Basic Graphing - Math for Morons Like Us
		In the coordinate plane, or the rectangular coordinate system, the vertical y-axis and the horizontal x-axis intersect at a point called the origin.
		Beginning at the origin, count along the x-axis scale until you find the tick mark labeled with the x-axis coordinate of your point, and then count along the y-axis scale until you find the tick mark labeled with the y-axis coordinate of your point.
		To plug in points, select an x-coordinate (be reasonable in the number you select for the x-coordinate) and put the x-axis coordinate in the equation in place of x.
	library.thinkquest.org /20991/prealg/graph.html (343 words)

	oe magazine - tutorial (Site not responding. Last check: 2007-10-10)
		Relevant coordinate axis definitions, in terms of the CAD coordinate system (x,y,z), are given in the table (see table below).
		We choose the CAD coordinate system origin to be at the vertex of the corner cube, but draw it in a translated position in the figure for clarity.
		In the present tutorial, the coordinate axes are being rotated and the data are staying fixed, which is sometimes referred to as a "passive coordinate transformation." In the other case, the data rotates with the axes stationary (an "active transformation"), which leads to a sign change for the sine terms.
	oemagazine.com /fromTheMagazine/nov05/tutorial.html (1649 words)

	IRAF Help page for "specwcs" (V2.10.4p2)
		PHYSICAL COORDINATE SYSTEM The physical coordinate system is used by the spectral tasks when there is no dispersion coordinate information (such as before dispersion calibration), to map the physical dispersion axis to the logical dispersion axis, and in the multispec world coordinate system dispersion functions which are defined in terms of physical coordinates.
		LINEAR SPECTRAL WORLD COORDINATE SYSTEMS When there is a linear or logarithmic relation between pixels and dispersion coordinates which is the same for all spectra the WCS header format is simple and uses the FITS convention (with the CD matrix keywords proposed by Hanisch and Wells 1992) for the logical pixel to world coordinate transformation.
		However, in practice when multiple functions are used they are generally of the same type and represent a calibration before and after the actual object observation with the weights based on the relative time difference between the calibration dispersion functions and the object observation.
	ecf.hq.eso.org /scripts/irafhelp?specwcs (3922 words)

	SCORE Lesson - Coordinate Graphing
		Introduction to the coordinate plane and coordinates link and use this as a tool kit to reinforce concepts on graphing.
		Coordinate Game provides students with the opportunity to plot points on the coordinate plan and to read the coordinate point plotted by the computer.
		Plotting points on the coordinate axis is a great topic and has unlimited opportunities for activities in the classroom.
	score.kings.k12.ca.us /lessons/graphing.html (953 words)

	SURFACE -- Translation And Rotation (Site not responding. Last check: 2007-10-10)
		All surfaces are initially "born" in the surface-definition coordinate system: x', y', z'.
		Some examples where the third coordinates are needed are: ellipsoidal cylinders, oblate or prolate spheres, and rectangular boxes.
		In the surface-definition coordinate system, the initial axis of this cylinder is along the x'-axis and the end planes are normal to the x'-axis.
	www-phys.llnl.gov /N_Div/COG/Manual/Surface/TranslationAndRotation.html (1233 words)

	PerfectXML.com: Learn to use XML in your applications
		Consequently, the coordinates, and so the position and size of graphic elements, are device and resolution dependent.
		The reference coordinate system is defined by the innermost container element (usually the parent group) or the innermost viewport.
		The coordinates of this pivot are in the reference coordinate system with the blue axes.
	www.perfectxml.com /LearnSVG.asp (5316 words)

	Basic Shapes
		Within the current user coordinate system, stroking operations on a circle begin at the point (cx+r,cy) and then proceed through the points (cx,cy+r), (cx-r,cy), (cx,cy-r) and finally back to (cx+r,cy).
		Within the current user coordinate system, stroking operations on a ellipse begin at the point (cx+rx,cy) and then proceed through the points (cx,cy+ry), (cx-rx,cy), (cx,cy-ry) and finally back to (cx+rx,cy).
		Example 09_04 below specifies the coordinates of the two ellipses in the user coordinate system established by the viewBox attribute on the 'svg' element and the transform attribute on the 'g' and 'ellipse' elements.
	www.w3.org /TR/SVGMobile12/shapes.html (1890 words)

	3D Coordinate Systems
		In a 3D Cartesian coordinate system, a point P is referred to by three real numbers (coordinates), indicating the positions of the perpendicular projections from the point to three fixed, perpendicular, graduated lines, called the
		Often the x-axis is imagined to be horizontal and pointing roughly toward the viewer (out of the page), the y-axis is also horizontal and pointing to the right, and the z-axis is vertical, pointing up.
		of the projection of P on the plane, and the coordinate z of the projection of P on the z-axis.
	electron9.phys.utk.edu /vectors/3dcoordinates.htm (274 words)

	[Evans Engineering - Right Handed Coordinates/Dice]
		A rotation about a directed axis is called positive, or right-handed, if it causes a right-handed screw to advance in the positive direction of the axis.
		It's the same coordinate system that is used by AutoCAD which was used to render (shade) the dice images presented here.
		The 1 (x) axis corresponds to an axis from the center of the die through the center of the "one" face
	evansopticalengineering.com /Page01-Dice/dice.htm (2207 words)

	Understanding polar coordinate interpolation Modern Machine Shop - Find Articles (Site not responding. Last check: 2007-10-10)
		Notice that the C axis is viewed as the horizontal linear axis and the X axis is the vertical axis.
		Notice also that any C coordinate to the right of the program zero point is plus and any C axis coordinate to the left of program zero is minus.
		When polar coordinate interpolation is used, however, it completely changes the way the programmer must view the X and C axes.
	www.findarticles.com /p/articles/mi_m3101/is_n10_v65/ai_14174303 (812 words)

	Battleship and the Coordinate System Math Lesson Plan, Thematic Unit, Activity, Worksheet, or Mathematics Teaching Idea
		Introduce students to the coordinate system: x-axis, y-axis, a point contains an x- and y- coordinate, origin, quadrants, how to locate a point, how to name a point.
		On each side, draw a coordinate system going from -5 to +5 on each axis.
		Each student places their battleships on the coordinate grid marked "My Battleship" using a series of dots.
	www.lessonplanspage.com /MathBattleshipPlotCoordinates79.htm (376 words)

	Transformations in Coordinate Geometry - Reflection in a Line
		When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite.
		When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite.
		Notice how each point of the original figure and its image are the same distance away from the line of reflection.
	regentsprep.org /Regents/math/coreflec/reflect.htm (284 words)

	Moving into Space
		This system has a virtual and invisible world coordinate system which is identical to the one shown on the drawing canvas when the scene is not translated and rotated.
		Then, the coordinates and weight of the selected control point are shown in the buttons
		However, the reference coordinate axis for translation and rotation are the coordinate axes shown on the drawing canvas rather than the virtual world coordinate axes as used for transforming the scene.
	www.cs.mtu.edu /~shene/COURSES/cs3621/LAB/curve/space.html (941 words)

	Math 1010 on-line - Cartesian Coordinates
		You are actually familiar with Cartesian Coordinates, they are used to express addresses in Salt Lake City.
		The Cartesian Coordinate System consists of a vertical and a horizontal number line that intersect perpendicularly at their origins.
		Note that it does not matter which point you call point 1 and which point 2, and whether some of the coordinates involved are negative.
	www.math.utah.edu /online/1010/coord (537 words)

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