Spatial relationship operators. Used to evaluate the spatial relationship between geometries.
Value 
Description 
esriGeometryRelationCross 
Two polylines cross if they share only points
in common, at least one of which is not an endpoint. A
polyline and an polygon cross if they share a polyline in common on the
interior of the polygon which is not equivalent to the entire polyline.
Cross is a Clementini operator. 
esriGeometryRelationDisjoint 
Two geometries are disjoint if their intersection
is empty. Two geometries intersect if disjoint
is "false". Disjoint is a Clementini
operator. 
esriGeometryRelationIn 
The base geometry is within the comparison
geometry if the base geometry is the intersection of the geometries and
the intersection of their interiors is not empty. Within
is a Clementini operator. Within is the opposite operator of contains. 
esriGeometryRelationInteriorIntersection 
Geometries intersect excluding boundary touch.

esriGeometryRelationIntersection 
Geometry interiors intersect or boundaries touch, same as 'not disjoint'.

esriGeometryRelationLineCoincidence 
The boundaries of the geometries must share
an intersection, but the relationship between the interiors of the shapes
is not considered (they could overlap, one could be contained in the other,
or their interiors could be disjoint). This relation
applies to polylines and polygons. 
esriGeometryRelationLineTouch 
Two geometries are said to touch when the intersection
of the geometries is nonempty, but the intersection of their interiors
is empty. This evaluates if the touch occurs along
a boundary (not a point). Valid for polygons. 
esriGeometryRelationOverlap 
Two polylines share a common subline, or two
polygons share a common subarea. Overlaps
is a Clementini operator. 
esriGeometryRelationPointTouch 
Two geometries are said to touch when the intersection
of the geometries is nonempty, but the intersection of their interiors
is empty. This evaluates if the touch occurs at
a point (not a boundary). 
esriGeometryRelationRelation 
Allows specification of any relationship defined
using the 'Shape Comparison Language'. 
esriGeometryRelationTouch 
The union of esriGeometryRelationPointTouch
and esriGeometryRelationLineTouch. Two geometries
are said to touch when the intersection of the geometries is nonempty,
but the intersection of their interiors is empty. Touches
is a Clementini operator. For example, a point touches a polyline only
if the point is coincident with one of the polyline end points. 
esriGeometryRelationWithin 
Same as esriGeometryRelationIn but also allows
polylines that are strictly on the boundaries of polygons to be considered
“in” the polygon. 
Remarks
This enumeration is used by a Geometry service Relation
method.
Examples
C# 
VB.NET 
Java 