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If they are negative, you'll have to add a large offset to each value (creating a False Easting and False Northing). ArcGIS doesn't like negative numbers, and you'll get a "Warning: Inconsistent Extent" message if you try and open the XY coords.
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All zones have their origin at the equator, use the meter as the system unit, and have a false easting of 500,000 meters and a false northing of 0. A scale reduction factor of 0.9996 is used on all zones.
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is designated 0 for quadrangles in the northern hemisphere, and 10,000,000 for quadrangles in the southern hemisphere. Since the distance from poles to Equator is approximately 10,000 km, such offset origins ensure coordinates (called false eastings ...
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A central meridian passes each zone and is given a false easting of 2 million feet. A false northing of 0 feet is established below the southern limit of each zone.
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See also: Coordinate, Easting, Origin, Projection, Surface

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