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# X Axis On A Coordinate Plane

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Consider as an example superimposing 3D Cartesian coordinates over all points on the Earth (i. e. geospatial 3D). What units make sense? Kilometers are ... Read more a good choice, since the original definition of the kilometer was geospatial. . . 10,000 km equalling the surface distance from the Equator to the North Pole. Where to place the origin? Based on symmetry, the gravitational center of the Earth suggests a natural landmark (which can be sensed via satellite orbits). Finally, how to orient X, Y and Z axis directions? The axis of Earth's spin provides a natural direction strongly associated with "up vs. down", so positive Z can adopt the direction from geocenter to North Pole. A location on the Equator is needed to define the X-axis, and the Prime Meridian stands out as a reference direction, so the X-axis takes the direction from geocenter out to [ 0 degrees longitude, 0 degrees latitude ]. Note that with 3 dimensions, and two perpendicular axes directions pinned down for X and Z, the Y-axis is determined by the first two choices. In order to obey the right hand rule, the Y-axis must point out from the geocenter to [ 90 degrees longitude, 0 degrees latitude ]. So what are the geocentric coordinates of the Empire State Building in New York City? Using [ longitude = â73. 985656, latitude = 40. 748433 ], Earth radius = 40,000/2Ï, and transforming from spherical --> Cartesian coordinates, you can estimate the geocentric coordinates of the Empire State Building, [ x, y, z ] = [ 1330. 53 km, â4635. 75 km, 4155. 46 km ]. GPS navigation relies on such geocentric coordinates.

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#### The horizontal axis in the

www.montereyinstitute.org

#### The coordinate plane is

www.k12handhelds.com

#### horizontal axis positioned in

www.scimathmn.org

#### A point in a coordinate plane

www.mathplanet.com

#### the x-axis is the horizontal

www.woodlynne.k12.nj.us

#### the right on the x-axis

mathwithlarry.com

#### X and Y Axis

www.mathsisfun.com

www.math.com

#### Found on

www.encyclo.co.uk

#### The x-axis is the horizontal

www.geometry.uconn.edu

www.shodor.org

free-ed.net

www.eduplace.com

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