The spatial extents need to be defined when projecting and TIN or Grid, defining the extents of the output grid. The figure below shows the definition of spatial extents, used across all projection windows. The bounding box is defined by two points

ItemDescription
1This defines the extents from the source Map Window view extents.
2This defines the extents from the source TIN.
3This defines the extents from a Defined Polygon.
4This allows for manually typing in the coordinates.
5This button makes the extents display in Latitude/Longitude.
6This button makes the extents display in the Projection Coordinates.
7The units of the coordinate (2000 meters in this case).
8First X coordinate of the bounding box.
9Second X coordinate of the bounding box.
10First Y coordinate of the bounding box.
11Second Y coordinate of the bounding box.
12Selecting this will cause the projected grid to contain a half cell offset so that the source grid sampling is done at the centers of the defined grid cells instead of the grid intersections themselves.
13Selecting this will assure that the grid cell count in both the X and Y directions are integer numbers.