Original scientific paper

Gall Stereographic Projection and its Generalization

Miljenko Lapaine orcid.org/0000-0002-9463-2329 ; Faculty of Geodesy, University of Zagreb, Zagreb, Croatia

Abstract

Previous research has shown that for some equal-area, equidistant and conformal cylindrical projections the standard and secant parallels do not match. Furthermore, it was proved that there is no equal-area, equidistant, and conformal cylindrical projection for which the standard and secant parallels would coincide. In this paper, it is shown that there are map projections whose standard and secant parallels coincide. One of them is the Gall stereographic projection. Moreover, a generalization of the Gall stereographic projection is derived, which also has the same property. In addition, the shape of the rectangle in which the world map is displayed can be modified. For example, if we take the latitudes of the standard parallels to be ±62°.1640 we will get a map of the world in a perfect square, and if we take ±35°.0447 as standard parallels, we will get a map of the world in a rectangle whose sides correspond to the landscape A format.

Keywords

map projection; Gall stereographic projection; standard parallel; secant parallel

Hrčak ID:

306293

URI

https://hrcak.srce.hr/306293

Publication date:

29.3.2023.

Article data in other languages: croatian

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