I am using ArcGIS 10.1 (SP1). I got a shapefile with polygons representing some features of the landscape in my study area. This file has been provided by a third party institution.
The coordinate system is missing spatial reference, as ArcGIS informs me as soon as I feed the file into ArcMap. I tried to use 'Define Projection' tool, but nothing happens, i.e. when I add other feature classes created by me (and that matches one another) the shapefile into question does not 'match' the rest of the layers.
Upon further inspections, I realized something that puzzles me even more. I am seeing that, if I take into account a given point in the map, its coordinates correspond to the actual coordinates in the right coordinate system (namely, ED1950 UTM Zone 33N) but are stripped of the first couple of digits. For example: 'true' coordinates of a point 439811 / 3986516, corresponding coordinates in the problematic shapefile 39811 / 86516; so, the first is missing the first digit, the second is missing the first two.
I would like to know if there is any way to fix this problem?
What I seem to understand for sure is that ArcGIS does not recognize this insane 'stripped' version of the ED1950 UTM Zone 33N.