ArcObjects Library Reference (Geometry) 

IRelationalOperator2 Interface
Additional relational functions.
Product Availability
Available with ArcGIS Engine, ArcGIS Desktop, and ArcGIS Server.
Members

Name 
Description 

Contains 
Indicates if this geometry contains the other geometry. 

ContainsEx 
Indicates if this geometry contains the other geometry, optionally using Celementini's definition. 

Crosses 
Indicates if the two geometries intersect in a geometry of lesser dimension. 

Disjoint 
Indicates if the two geometries share no points in common. Negate this result to compute the Intersect relation. 

Equals 
Indicates if the two geometries are of the same type and define the same set of points in the plane. 

IsNear 
Indicates if this geometry is within distance from the other geometry. 

Overlaps 
Indicates if the intersection of the two geometries has the same dimension as one of the input geometries. 

Relation 
Indicates if the defined relationship exists. 

Touches 
Indicates if the boundaries of the geometries intersect. 

Within 
Indicates if this geometry is contained (is within) another geometry. 

WithinEx 
Indicates if this geometry contains the other geometry, optionally using Celementini's definition. 
Inherited Interfaces
Interfaces 
Description 
IRelationalOperator 
Provides access to members that determine if a certain spatial relationship exists between two geometries. 
CoClasses that implement IRelationalOperator2
CoClasses and Classes 
Description 
Envelope 
A rectangle with sides parallel to a coordinate system defining the extent of another geometry; optionally has min and max measure, height and ID attributes. 
MultiPatch 
A collection of surface patches. 
Multipoint 
An ordered collection of points; optionally has measure, height and ID attributes. 
Point 
A two dimensional point, optionally with measure, height, and ID attributes. 
Polygon 
A collection of rings ordered by their containment relationship; optionally has measure, height and ID attributes. 
Polyline 
An ordered collection of paths; optionally has measure, height and ID attributes. 