PURPOSE: To enable the calculation of relative positions at two points in two adjacent UTM coordinate systems by converting UTM coordinates.

CONSTITUTION: Two UTM coordinate systems are established as L(XL-YL) and M(XM-YM) coordinate systems and A and B as points in the L and M coordinate systems respectively. The L and M coordinate systems are separately move parallel to make the coordinate systems with the points A and B as origin respectively, as XA-YA and XB-YB and then, done so again to make the coordinate systems with a desired point C as origin on the boundary as X'A-Y'A and X'B-Y'B separately so that the coordinates (x0, y0) will be determined for the point C on XA-YA and those (x1, y1) for the point B on X'B-Y'B. The angle between the boundary and Y'B axis at the point C is set at β. Since the L and M coordinate systems are linearly symmetrical with respect to the boundary, β is given to the angle between the boundary and the Y'A axis. Therefore, the angle α between X'A-Y'A and X'B-Y'B equals 2β to enable the point B to be translated to the coordinates (x2, y1) of X'A-Y'A. Thus, by the addition of the coordinates (x0, y0) at the point C on XA-YA thereto, the coordinates of the point B expressed by the M coordinate system is translated to the coordinates (x, y) in the L coordinate system.