Rectangular polyconic projection: Difference between revisions

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The rectangular polyconic has one specifiable latitude (along with the latitude of opposite sign) along which scale is correct. The scale is also true on the central meridian of the projection. Meridians are spaced such that they meet the parallels at right angles in equatorial aspect; this trait accounts for the name ''rectangular''.

The projection is defined by:<ref name = "Album">{{cite book

{{ cite book

| title = An Album of Map Projections

| volume = U.S. Geological Survey Professional Paper 1453

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| publisher = United States Government Printing Office

| url = https://pubs.usgs.gov/pp/1453/report.pdf

| archive-url = https://commonsweb.wikimediaarchive.org/wikiweb/File20170222004111/https:AnAlbumOfMapProjections//pubs.usgs.gov/pp/1453/report.pdf

| archive-date = 20122017-0102-1922

| url-status = livebot: unknown

| access-date = 2018-01-15

}}</ref>{{rp|225}}{{rp|110}}

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*''φ''{{sub|0}} is the latitude chosen to be the origin along ''λ''{{sub|0}};

*''φ''{{sub|1}} is the latitude whose parallel is chosen to have correct scale.

To avoid division by zero, the formulas above are extended so that if ''φ''&nbsp;=&nbsp;0 then ''x''&nbsp;=&nbsp;''2A'' and ''y''&nbsp;=&nbsp;−''φ''{{sub|0}}. If ''φ''{{sub|1}}=&nbsp;0 then ''A''&nbsp;=&nbsp;½{{sfrac|1|2}}(''λ''&nbsp;−&nbsp;''λ''{{sub|0}}).

==See also==