STEREOGRAPHIC PROJECTION

Definition: STEREOGRAPHIC PROJECTION

STEREOGRAPHIC PROJECTION

1. (Geom.), a method of representing the sphere in which the center of projection is taken in the surface of the sphere, and the plane upon which the projection is made is at right andles to the diameter passing through the center of projection.

Source: Webster's Revised Unabridged Dictionary (1913)

Specialty Definition: STEREOGRAPHIC PROJECTION

Domain	Definition
Mining	A. A map projection in which meridians and parallels are projected onto a tangent plane, with the point of projection on the surface of the sphere diametrically opposite to the point of tangency of the projecting plane. Any point of tangency may be selected (at a pole, on the equator, or a point in between) b. A similar projection used in optical mineralogy and structural geology, made on an equatorial plane (passing through the center of the sphere) with the point of projection at the south pole. Syn:stereogr. (references)
Source: compiled by the editor from various references; see credits.

Specialty Definition: Stereographic projection

In cartography and geometry, the stereographic projection is a mapping that projects each point on a sphere onto a tangent plane along a straight line from the antipode of point of tangency, with one exception: the center of projection, antipodal to the point of tangency, is not projected to any point. Two remarkable properties of this projection were demonstrated mathematically by Hipparchus:

This mapping is conformal, i.e. it preserves angles at which curves cross each other, and
This mapping transforms circles on the surface of the sphere that do not pass through the center of projection, to circles in the plane.

STEREOGRAPHIC PROJECTION

Definition: STEREOGRAPHIC PROJECTION