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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 = −73. 985656, latitude = 40. 748433 ], Earth radius = 40,000/2π, and transforming from spherical --> Cartesian coordinates, you can estimate the geocentric coordinates of the Empire State Building, [ x, y, z ] = [ 1330. 53 km, –4635. 75 km, 4155. 46 km ]. GPS navigation relies on such geocentric coordinates.

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The horizontal axis in the  X Axis On A Coordinate Plane

The horizontal axis in the

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The coordinate plane is  X Axis On A Coordinate Plane

The coordinate plane is

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horizontal axis positioned in  X Axis On A Coordinate Plane

horizontal axis positioned in

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A point in a coordinate plane  X Axis On A Coordinate Plane

A point in a coordinate plane

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The coordinate plane looks  X Axis On A Coordinate Plane

The coordinate plane looks

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the x-axis is the horizontal  X Axis On A Coordinate Plane

the x-axis is the horizontal

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the right on the x-axis   X Axis On A Coordinate Plane

the right on the x-axis

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This line is called the y-axis  X Axis On A Coordinate Plane

This line is called the y-axis

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The x-axis is the horizontal  X Axis On A Coordinate Plane

The x-axis is the horizontal

www.geometry.uconn.edu

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Instead of saying horizontal  X Axis On A Coordinate Plane

Instead of saying horizontal

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A rectangular coordinate plane  X Axis On A Coordinate Plane

A rectangular coordinate plane

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coordinate plane  X Axis On A Coordinate Plane

coordinate plane

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