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Azimuthal projections

GIS Azimuthal ProjectionBackshore

Azimuthal Projections
Introduction
Given a reference point A and two other points B and C on a surface, the azimuth from B to C is the angle formed by the minimum-distance lines AB and AC (which, on a sphere, ...

 


Azimuthal projections
An azimuthal projection is obtained by projecting the earth, either literally or figuratively, onto a plane that touches the earth at a single point, called the center of the map..

Azimuthal projections result from projecting a spherical surface onto a plane.
When the plane is tangent to the sphere contact is at a single point on the surface of the Earth.
Projection of a Sphere onto a Plane (Tangent Case) ...

Azimuthal Projections
This projection is based on a 'flat piece of paper' touching the Earth at a point. The point is usually a Pole, but this is not essential.

Azimuthal projections have the property that directions from a central point are preserved (and hence, great circles through the central point are represented by straight lines on the map).

3 Azimuthal projections
The five common azimuthal (also known as Zenithal) projections are the Stereographic projection, the Orthographic projection, the Lambert azimuthal equal-area projection, ...

References: Azimuthal projections (Strahler and Strahler 1987, p. 13, Robinson et al 1984, p. 102)
stereographic projection
gnomic projection
Lambert's azimuthal equal-area projection
orthographic projection ...

Tables, formulas and explanations for several cylindrical, conic, psuedocylindrical and azimuthal projections are provided. The second appendix shows the proof of Tissot's Indicatrix.

extent east-west than north-south and in equatorial regions, while conic projections are better in mid-latitudes; transverse cylindrical projections are used for maps which are of greater extent north-south than east-west; azimuthal projections are ...

the azimuths of all points are shown correctly with respect to the center (Snyder 1987, p. 4). A plane tangent to one of the Earth's poles is the basis for polar azimuthal projection. The term "zenithal" is an older one for azimuthal projections ...

See also: Map, Projection, Azimuthal Projection, Azimuth, Equator

GIS Azimuthal ProjectionBackshore

 
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