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Topic: Cartesian coordinate system


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  Cartesian coordinate system - Wikipedia, the free encyclopedia   (Site not responding. Last check: 2007-10-22)
The modern Cartesian coordinate system in two dimensions (also called a rectangular coordinate system) is commonly defined by two axes, at right angles to each other, forming a plane (an xy-plane).
The three dimensional coordinate system is provides the physical dimensions of space — height, width, and length, and this is often referred to as "the three dimensions".
In analytic geometry the Cartesian coordinate system is the foundation for the algebraic manipulation of geometrical shapes.
www.lighthousepoint.us /project/wikipedia/index.php/Cartesian_coordinate_system   (1138 words)

  
 Coordinate system - Wikipedia, the free encyclopedia
The system of assigning longitude and latitude to geographical locations is a coordinate system.
Curvilinear coordinates are a generalization of coordinate systems generally; the system is based on the intersection of curves.
Cylindrical coordinate system represents a point in space by an angle, a distance from the origin and a height.
en.wikipedia.org /wiki/Coordinate_system   (1119 words)

  
 The State Plane Coordinate System
Cartesian coordinates, and require nothing more than simple Euclidean geometry (I've always had the impression that this engineer was either lousy with math or just plane lazy, but I'm probably being unfair).
In its modern form, the state plane coordinate system covers all 50 of the United States, but it does not extend beyond the borders of the U.S. The system is designed to have a maximum linear error of 1 in 10,000.
UTM system, whose maximum linear error is 1 in 2,500, which, when you multiply both sides by four, translates into a maximum error of 4 in 10,000.
www.warnercnr.colostate.edu /class_info/nr502/lg3/datums_coordinates/spcs.html   (909 words)

  
 VIAS Encyclopedia: Three-dimensional Cartesian Coordinate System   (Site not responding. Last check: 2007-10-22)
The three-dimensional Cartesian coordinate is defined by three axes at right angles to each other, forming a three dimensional space.
The point of intersection, where the axes meet, is called the origin, which is normally labeled O. To specify a particular point on a three dimensional coordinate system, you indicate the particular values on the axes in the form [x,y,z].
Two points in the 3D cartesian coordinate system.
www.vias.org /encyclopedia/math_coord_cartesian_3d.htm   (142 words)

  
 The Coordinate System
A Cartesian coordinate system has three axes, X, Y, and Z. When you enter coordinate values, you indicate a point's distance (in units) and its direction (+ or -) along the X, Y, and Z axes relative to the coordinate system origin (0,0,0).
For example, the coordinate 3,4 specifies a point 3 units along the X axis and 4 units along the Y axis from the origin.
To specify a relative coordinate, precede the coordinate with an @ symbol.
www.saskschools.ca /~ischool/Drafting10/Unit2/part9.htm   (1050 words)

  
 GIS Tips - Coordinate Systems Part I
Thus, while not a requirement for a cartesian coordinate system, all of the cartesian systems Casual Cartographers use are orthogonal, i.e.
Coordinates in the three dimensional case are the perpendicular distance from each of the three planes.
In cartography/geodesy, the three dimensional cartesian coordinate system is almost always used with the origin at the center of mass of the earth.
www.mentorsoftwareinc.com /CC/gistips/TIPS1298.HTM   (1435 words)

  
 Economics Interactive
Cartesian coordinate: An ordered set of numbers (x,y) that, in two-dimensional graphs, identifies how variables may be related graphically along a horizontal x-axis and a vertical y-axis.
Cartesian coordinate systems entail two perpendicular lines, or axes, labeled x and y, that usually intersect at their respective zeros—the origin.
Coordinates for the following points are depicted in Figure 5: (1, 1), (1, 4), (3, 3), (4, 1), (2, 5), (-2, 5), (-3, 3), (-1, 0), (-3, -3), (0, -4), and (3, -3).
www.unc.edu /depts/econ/byrns_web/Economicae/Figures/Cartesian.htm   (421 words)

  
 Cartesian coordinate system   (Site not responding. Last check: 2007-10-22)
In part two, he introduces the new idea of specifying the position of a point or object on a surface, using two intersecting axes as measuring guides.
A three dimensional coordinate system is usually depicted using what is called the right-hand rule, and the system is called a right-handed coordinate system (see handedness).
The three dimensional coordinate system is popular because it provides the physical dimensions of space, of height, width, and length, and this is often referred to as "the three dimensions".
www.sciencedaily.com /encyclopedia/cartesian_coordinate_system_1   (986 words)

  
 ITMFG 105   (Site not responding. Last check: 2007-10-22)
Polar Coordinates: A polar coordinate is similar to a relative coordinate since it is positioned with respect to the current access location.
The Cartesian coordinate system is a rectangular coordinate system that locates a point by its distances from intersecting, perpendicular planes.
That means that each point is referenced to the origin of the coordinate system and not the values of the points around it.
www.bsu.edu /web/00amleduc/itmfg105b/coordinate.htm   (831 words)

  
 Coordinates   (Site not responding. Last check: 2007-10-22)
The center of each Cartesian coordinate system, hereafter referred to as a node, is where the optical element resides.
The axes of each Cartesian coordinate system are defined according to the following convention: (1) the z-axis always points in the nominal neutron beam direction, (2) right-hand coordinate system, and (3) x-z lies in the nominal scattering plane.
These variables are then transformed into an intrinsic coordinate system of optical element n, in which the simulation of the interaction is performed.
www.sns.gov /ideas/coordinates.htm   (408 words)

  
 Coordinate system   (Site not responding. Last check: 2007-10-22)
See Cartesian coordinate system or Coordinates (elementary mathematics) for a more elementary introduction to this topic
In mathematics as applied to geometry, physics or engineering, a coordinate system is a system for assigning a tuple of scalars to each point in an n-dimensional space.
a mapping of points to other points which distorts a rectangle to a parallelogram changes the coordinates the same as keeping the points in place but changing the basis vectors from being two sides of that parallellogram to perpendicular ones, two sides of that rectangle.
www.bidprobe.com /en/wikipedia/c/co/coordinate_system.html   (575 words)

  
 Reversible Linear Transformations   (Site not responding. Last check: 2007-10-22)
When a point in an object in a Cartesian coordinate system can be returned to its previous location with a linear transformation equation or equations, the linear transformation is reversible.
In a three dimensional Cartesian coordinate system, the tip if the arrow location on the grid can be represented by a point such as an ordered pair or n-tuple.
In a three dimensional coordinate system, the location of the arrow's tip can be given by three numbers such as x, y, and z, or an n-tuple=3-tuple as (x,y,z).
www.spots.ab.ca /~belfroy/LinearMath/reversibleLinearTransformations.html   (2524 words)

  
 Cartesian Coordinate System   (Site not responding. Last check: 2007-10-22)
This lesson is designed to familiarize students to the Cartesian Coordinate System and its many uses in the world of mathematics.
The Cartesian coordinate system was developed by the mathematician Descartes during an illness.
To show students that the coordinate plane is useful in more than just describing the location of objects lead a discussion on reading points off a graph.
www.shodor.org /interactivate/lessons/cartesian.html   (682 words)

  
 Coordinate Systems   (Site not responding. Last check: 2007-10-22)
The most common coordinate system for representing positions in space is one based on three perpendicular spatial axes generally designated x, y, and z.
Any point P may be represented by three signed numbers, usually written (x, y, z) where the coordinate is the perpendicular distance from the plane formed by the other two axes.
Although the entire coordinate system can be rotated, the relationship between the axes is fixed in what is called a right-handed coordinate system.
hyperphysics.phy-astr.gsu.edu /hbase/coord.html   (117 words)

  
 2D Coordinate Systems   (Site not responding. Last check: 2007-10-22)
In three-dimensional Cartesian coordinates, the z axis is added so that there are three axes all perpendicular to each other.
To be able to transform from Cartesian to polar coordinates and vice versa, we let the axis of the polar coordinate system coincide with the x-axis of the Cartesian coordinate system and the pole coincide with the origin.
Cylindrical coordinates and spherical coordinates are two different extensions of polar coordinates to three dimensions.
itc.utk.edu /itc/grants/twt2000/modules/mbreinig/2dcoordinates.htm   (225 words)

  
 Cartesian Coordinates
In Cartesian coordinate system, one deals with a group of mutually perpendicular axes (or planes).
For this reason, the Cartesian coordinate system is also called the rectangular coordinate system.
This is the traditional 3-D Cartesian coordinate system and will be used consistently throughout this website.
kwon3d.com /theory/crdsys/cart.html   (250 words)

  
 [No title]   (Site not responding. Last check: 2007-10-22)
For example, the system of naming a point on the Earth by giving a longitude and a latitude is a coordinate system.
The simplest coordinate system we can use is called Cartesian coordinates, after Rene Descartes, the French mathematician and philosopher who invented it.
However, the Cartesian coordinates we're going to learn about can be extended in a rather straightforward manner to three or even more dimensions.
astron.berkeley.edu /~krumholz/sq/algebra/class4.txt   (2376 words)

  
 Cartesian Coordinate System   (Site not responding. Last check: 2007-10-22)
A cartesian coordinate system is simple way of defining a location by its distance away from a known location horizontally, vertically and it's height.
Most likely, your CNC machines use this same coordinate system although some machines use this coordinate system as if you were looking at the directions from the back of the machine.
For the Z coordinate, just remember that when a positive Z is programmed, the tool moves away from the table and the part you are cutting.
www.xmlcreate.com /NCGuide/Basics101/basics101.html   (279 words)

  
 Coordinate Systems
The numbers assigned to a position, or point, are called the coordinates of that point (in the coordinate system under consideration).
In physical laboratories, and sometimes for everyday purpose, it is convenient to use cartesian coordinates, i.e., just length, width and height measured from a reference point (the origin of the system) in three mutually othogonal (or perpendicular) directions, i.e., three straight lines called axes of the coordinate system, which have mutually right angles between them.
Each coordinate system is now uniquely determined by its origin, either its polar axis or the equatorial plane (the other is always perpendicular and thus given by the one), and the reference direction.
www.seds.org /~spider/spider/ScholarX/coord_bas.html   (630 words)

  
 [No title]   (Site not responding. Last check: 2007-10-22)
T00 \F\\ Cartesian Coordinate System\1\\ The X axis and Y axis are parallel in a 2-variable Cartesian coordinate system.
T00 \T\\ Cartesian Coordinate System \1\\ The X axis and Y axis in a 2-variable Cartesian coordinate system usually intersect at (0,0).
T00 \T\\ Cartesian Coordinate System \1\\ The Y intercept of a graph indicates the value of the Y variable when X = 0 in a 2-variable Cartesian coordinate system.
www.unc.edu /depts/econ/byrns_web/EC010/TB_Principles/TrueFalse/TF00.doc   (662 words)

  
 Coordinate Systems
Reference frames are basically the different perspectives of the viewer while the coordinate systems are the different ways to describe physical quantities in these perspectives.
The Cartesian coordinate system is perhaps the most commonly used system in biomechanics.
The bottom line is: the coordinate system should be chosen to fit the problem so that it becomes more readily soluble.
kwon3d.com /theory/coords.html   (149 words)

  
 Drawing plane and coordinate system - maths online Gallery
is a simple dynamical diagram illustrating the relation between the position of a point in the drwaing plane and its (cartesian) coordinates.
illustrates the definition of the simplest curvilinear coordinate system.
A sample of coordinate lines may be switched on and off, thus illustrating the fact that oblique coordinates give rise to a "grid" on the drawing plane different from that related to cartesian (rectangular) coordinates.
www.univie.ac.at /future.media/moe/galerie/zeich/zeich.html   (227 words)

  
 CARTESIAN COORDINATE SYSTEM   (Site not responding. Last check: 2007-10-22)
To assess where students are in their knowledge of coordinate plane.
The words I gave them were: abscissa, coordinate plane, coordinates, domain, origin, quadrants, range, relation, x-axis, y-axis, distance formula, function, ordered pair, ordinate, Pythagoras, Pythagorean theorem, slope, x-intercept, and y-intercept.
Coordinate graph newsprint is available in pre-printed form from various teaching resources.
www.bgsu.edu /colleges/edhd/programs/ASPECT/cII.html   (215 words)

  
 Special cases of the orthogonal coordinate systems
The most frequently used coordinate systems are cartesian, circular cylindricaland spherical systems.
The position of a point A in the cartesian coordinate system is given by the intersection of the three plane coordinate surfaces, see Fig.
In this system the coordinates and basic unit vectors are denoted as
www.eaeeie.org /theiere/curvilinear/SpecCasesortCoordSys.htm   (280 words)

  
 Thesis Abstract   (Site not responding. Last check: 2007-10-22)
As metallurgical reactor vessels involves both rectangular and cylindrical geometries, 3 D model for Cartesian coordinate system as well as cylindrical coordinate system are required to predict fluid flow in different metallurgical systems theoretically.
This model was then synthesized with similar model developed by C. Vanu [301 for Cartesian coordinate system and a generalized computer procedure was developed to predict fluid flow in various metal processing operations.
This model was then synthesized with the model in the Cartesian coordinate system [30] to develop a generalized mathematical framework for the analysis of flow in metallurgical reactors.
www.iitk.ac.in /mme/mtTheses/2001/9910615.html   (276 words)

  
 Chapter 5: Bittinger, Ellenbogen, and Johnson   (Site not responding. Last check: 2007-10-22)
Cartesian Coordinate System (aka rectangular coordinate system) is a horizontal number line (the x-axis) intersecting with a vertical number line (the y-axis) at right angles at the zero coordinates of each line (the Origin).
Quadrants are the four areas of the Cartesian coordinate system formed by the intersecting number lines.
An Ordered Pair is the pair of coordinates that specify the location of a point on the coordinate plane in relation to the Origin.
www.mtsu.edu /~dotts/M80v3.html   (833 words)

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