Intersect
 URL:https://<geometryserviceurl>/intersect
 Version Introduced:10.0
Description
The intersect operation is performed on a geometry service resource. This operation constructs the settheoretic intersection between an array of geometries and another geometry. The dimension of each resultant geometry is the minimum dimension of the input geometry in the geometries array and the other geometry specified by the geometry parameter. At 10.1 and later, this operation calls simplify on the input geometries and geometry. You can provide arguments to the intersect operation as query parameters defined in the following parameters table.
Request parameters
Parameter 
Details 

geometries 
Specifies an array of points, multipoints, polylines, or polygons. The structure of each geometry in the array is the same as the structure of the JSON geometry objects returned by ArcGIS REST API. Syntax:
Example:

geometry 
Specifies a single geometry of any type with a dimension equal to or greater than the elements of geometries. The structure of geometry is the same as the structure of the JSON geometry objects returned by ArcGIS REST API. The use of simple syntax is not supported. Syntax:
Example

sr 
Sets the wellknown ID (WKID) or a spatial reference JSON object for the input geometries. For a list of valid WKID values, see Using spatial references. 
f 
The response format. The default response format is html. Values: html  json  pjson 
Example usage
The following is a sample request URL for intersect that demonstrates how to calculate the intersection of two polygons:
https://sampleserver6.arcgisonline.com/arcgis/rest/services/Utilities/Geometry/GeometryServer/intersect?sr=4269&geometries={"geometryType":"esriGeometryPolygon","geometries":[{"rings":[[[72,40],[71,40],[71,39],[72,39],[72,40]]]},{"rings":[[[74,37],[74,41],[73,41],[73,37],[74,37]]]}]}&geometry={"geometryType":"esriGeometryPolygon","geometry":{"rings":[[[75,39],[74,40],[73,39],[72,40],[71,39],[71,38],[75,38],[75,39]]]}}&f=html
JSON Response syntax
{
"geometryType" : "<esriGeometryPoint  esriGeometryMultipoint  esriGeometryPolyline  esriGeometryPolygon>"
"geometries" : [ <geometry1>, <geometry1>, ..., <geometryN> ]
}
JSON Response example
{
"geometryType": "esriGeometryPolygon",
"geometries": [
{
"rings": [
[
[
70.999999999999943,
39.000000000000057
],
[
71.999999999999943,
39.000000000000057
],
[
71.999999999999943,
40.000000000000057
],
[
70.999999999999943,
39.000000000000057
]
]
]
},
{
"rings": [
[
[
72.999999999999943,
38.000000000000057
],
[
73.999999999999943,
38.000000000000057
],
[
73.999999999999943,
40.000000000000057
],
[
72.999999999999943,
39.000000000000057
],
[
72.999999999999943,
38.000000000000057
]
]
]
}
]
}