{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:52:44Z","timestamp":1760147564561,"version":"build-2065373602"},"reference-count":15,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2023,2,11]],"date-time":"2023-02-11T00:00:00Z","timestamp":1676073600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IJGI"],"abstract":"<jats:p>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.<\/jats:p>","DOI":"10.3390\/ijgi12020063","type":"journal-article","created":{"date-parts":[[2023,2,13]],"date-time":"2023-02-13T05:25:26Z","timestamp":1676265926000},"page":"63","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Matching Standard and Secant Parallels in Cylindrical Projections"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9463-2329","authenticated-orcid":false,"given":"Miljenko","family":"Lapaine","sequence":"first","affiliation":[{"name":"Faculty of Geodesy, University of Zagreb, HR-10000 Zagreb, Croatia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,2,11]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"40","DOI":"10.32909\/kg.19.34.3","article-title":"Standard, secant and equidistant parallels\/Standardne, presje\u010dne i ekvidistantne paralele","volume":"19","author":"Lapaine","year":"2020","journal-title":"Kartografija i Geoinformacije\/Cartogr. Geoinf."},{"key":"ref_2","unstructured":"Sluter, C.R., Cruz, C.B.M., and de Menezes, P.M.L. (2015). Cartography\u2013Maps Connecting the World, Springer International Publishing."},{"key":"ref_3","first-page":"127","article-title":"Standard parallels and secant parallels in conic projections","volume":"6","author":"Lapaine","year":"2017","journal-title":"Sci. J. Civ. Eng."},{"key":"ref_4","first-page":"72","article-title":"Standard Parallel and Secant Parallel in Azimuthal Projections\/Standardna paralela i presje\u010dna paralela kod azimutnih projekcija","volume":"16","author":"Lapaine","year":"2017","journal-title":"Kartografija i Geoinformacije\/Cartogr. Geoinf."},{"key":"ref_5","unstructured":"Bandrova, T., and Konecny, M. (2018, January 18\u201323). Behrmann Projection. 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Map Projection, GEOG 862: GPS and GNSS for Geospatial Professionals, PennState College of Earth and Mineral Sciences, Department of Geography. Available online: https:\/\/www.e-education.psu.edu\/geog862\/node\/1808."},{"key":"ref_11","unstructured":"Kraak, M.-J., Roth, R.E., Ricker, B., Kagawa, A., and Le Sourd, G. (2021). Mapping for a Sustainable World, The United Nations."},{"key":"ref_12","unstructured":"Ball State Univ (2022, February 10). Geospatial Resources & Map Collection, Maps and Cartography: Map Projections, A Tutorial, Ball State University Libraries. Available online: https:\/\/lib.bsu.edu\/collections\/gcmc\/tutorials\/mapsandcartographymapprojections.pdf."},{"key":"ref_13","unstructured":"Esri (2022, February 14). Behrmann Equal Area Cylindrical, Cylindrical Equal Area, Equidistant Cylindrical, Equirectangular and in Some Other Items on the List of Supported Projections, ArcGIS Desktop, Arc Map, Map Projections, Supported Map Projections. Available online: https:\/\/desktop.arcgis.com\/en\/arcmap\/10.7\/map\/projections\/behrmann-equal-area-cylindrical.htm."},{"key":"ref_14","doi-asserted-by":"crossref","unstructured":"Lapaine, M. (2023). A Problem in \u201cBasic Cartography\u201d. Int. J. Cartogr.","DOI":"10.1080\/23729333.2022.2157106"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"630","DOI":"10.1080\/10095020.2021.1968321","article-title":"Local linear scale factors in map projections in the direction of coordinate axes","volume":"24","author":"Lapaine","year":"2021","journal-title":"Geo-Spat. Inf. Sci."}],"container-title":["ISPRS International Journal of Geo-Information"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2220-9964\/12\/2\/63\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T18:32:04Z","timestamp":1760121124000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2220-9964\/12\/2\/63"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,2,11]]},"references-count":15,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2023,2]]}},"alternative-id":["ijgi12020063"],"URL":"https:\/\/doi.org\/10.3390\/ijgi12020063","relation":{},"ISSN":["2220-9964"],"issn-type":[{"type":"electronic","value":"2220-9964"}],"subject":[],"published":{"date-parts":[[2023,2,11]]}}}