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Does ArcGIS support Polar Stereographic projections defined by a standard parallel parameter?
Yes. The Projection Engine at 8.1.2 now has two versions of Polar Stereographic that use a standard parallel. The projection names are:
ArcInfo Workstation and ArcView support the standard parallel case.
In ArcGIS 8.1 the Projection Engine only supports a Stereographic case with a scale factor at the center.