Matching Standard and Secant Parallels in Cylindrical Projections-Reference-Cited by-同舟云学术

Matching Standard and Secant Parallels in Cylindrical Projections

Published:2023-02-11 Issue:2 Volume:12 Page:63
ISSN:2220-9964
Container-title:ISPRS International Journal of Geo-Information
language:en
Short-container-title:IJGI

Author:

Lapaine Miljenko¹^ORCID

Affiliation:

1. Faculty of Geodesy, University of Zagreb, HR-10000 Zagreb, Croatia

Abstract

Map projections are usually interpreted by mapping a sphere onto an auxiliary surface, and then the surface is developed into a plane. It is taken as a fact without proof that the parallels in which the auxiliary surface intersects the sphere are mapped without distortions. In a previous paper, based on a theoretical consideration and illustrated with several examples, the author concluded that explaining cylindrical projections as mapping onto a cylindrical surface is not a good approach, because it leads to misunderstanding important properties of projection. In this paper I prove that there are no equal-area, equidistant, or conformal cylindrical projections for which the standard parallel will coincide with secant parallel after folding the map into a cylinder.

Publisher

MDPI AG

Subject

Earth and Planetary Sciences (miscellaneous),Computers in Earth Sciences,Geography, Planning and Development

Link

https://www.mdpi.com/2220-9964/12/2/63/pdf

Reference15 articles.

1. Standard, secant and equidistant parallels/Standardne, presječne i ekvidistantne paralele;Lapaine;Kartografija i Geoinformacije/Cartogr. Geoinf.,2020

2. Sluter, C.R., Cruz, C.B.M., and de Menezes, P.M.L. (2015). Cartography–Maps Connecting the World, Springer International Publishing.

3. Standard parallels and secant parallels in conic projections;Lapaine;Sci. J. Civ. Eng.,2017

4. Standard Parallel and Secant Parallel in Azimuthal Projections/Standardna paralela i presječna paralela kod azimutnih projekcija;Lapaine;Kartografija i Geoinformacije/Cartogr. Geoinf.,2017

5. Bandrova, T., and Konecny, M. (2018, January 18–23). Behrmann Projection. Proceedings of the 7th International Conference on Cartography and GIS, Sozopol, Bulgaria.