Polyconic projection

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 A Polyconic projection of the Earth.
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A Polyconic projection of the Earth.

A polyconic projection is a conical map projection. The projection stems from "rolling" a cone tangent to the Earth at all parallels of latitude, instead of a single cone in a normal conic projection. Each parallel is a circular arc of true scale. The scale is also true on the central meridian of the projection. The projection was in common use by many map-making agencies of the United States from its proposal by Ferdinand Rudolph Hassler in 1825 until the middle of the 20th century.[1]

The projection is defined by:

(\lambda,\phi)\mapsto\left(\cot \phi \sin(\lambda \sin \phi), \phi+\cot \phi[1-\cos(\lambda\sin\phi)]\right)

where \lambda\, is the longitude from the central meridian, and \phi\, is the latitude. When \phi\, is zero, then

(\lambda, 0)\mapsto\left(\lambda, 0\right)

[edit] References

  1. ^ Flattening the Earth: Two Thousand Years of Map Projections, John P. Snyder, 1993, pp. 117-122, ISBN 0-226-76747-7.

[edit] External links