Tom Sanders (mathematician): Difference between revisions

Latest revision as of 21:03, 9 December 2014

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-[[File:Central cylindric projection square.JPG|thumb|The central cylindrical projection with a 15° graticule, approximately to latitude ±72°.  The distortion is noticeably worse than the [[Mercator projection]].]]
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-The '''Central cylindrical projection''' is a [[Map projection#Cylindrical|cylindrical map projection]]. This is achieved by projecting, from the center of the [[Earth]] (hence perpendicularly to the surface), the Earth's surface onto a [[cylinder]] tangent to the [[equator]].  The cylinder is then cut along one of the projected [[meridian (geography)|meridians]] and unrolled into a flat map.<ref name="Snyder">''Flattening the Earth:  Two Thousand Years of Map Projections'', John P. Snyder, Chicago University Press, 1993, pp. 106-107, ISBN 0-226-76747-7.</ref>
-The distortion in the regions beyond the equator is so pronounced (much worse than in the [[Mercator projection]], which is sometimes erroneously presented as the central cylindrical)<ref name="FisherMiller">''World Maps and Globes'', Irving Fisher and O. M. Miller, Essential Books, 1944, p. 46.</ref> that the central cylindrical is not frequently used as a practical projection.<ref name="Snyder"/><ref name="FisherMiller" />
-It is not known who first developed the projection, but it appeared with other new cylindrical projections in the 1800s, and regularly finds its way into textbooks (chiefly to illustrate that this is not the way Mercator is constructed).<ref name="Snyder"/>
-As with any cylindrical projection, the construction can be generalized by positioning the cylinder to be tangent to a [[great circle]] of the globe that is not the equator.<ref name="Snyder"/>
-== Formula ==
-:<math>\begin{align}
-  x &= R( \lambda - \lambda_0), \qquad
-  y &= R( \tan {\phi})
-\end{align}</math>
-== See also ==
-*[[Gnomonic projection]]
-*[[Mercator projection]]
-== References ==
-{{reflist}}
-{{Map Projections}}
-[[Category:Cartographic projections]]
-{{cartography-stub}}

Tom Sanders (mathematician): Difference between revisions

Latest revision as of 21:03, 9 December 2014

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