The standard parallels can be at any latitude except the poles. Navigational maps are usually Mercator, true direction, and/or equidistant. Berghaus Star. No projection can be both equal-area and conformal, and projections which are neither equal-area nor conformal are sometimes called aphylactic (Snyder 1987, p. 4). It has been used infrequently.
The distortion values are severe near the poles and symmetric across the equator and the central meridian.
A map projection in which areas on a sphere, and the areas of any features contained on it, are mapped to the plane in such a way that two are related by a constant scaling factor. Hence the sphere is mapped onto a stretched vertical cylinder. From MathWorld—A Wolfram Web Resource. A cylindrical projection can be imagined in its simplest form as a cylinder that has been wrapped around a globe at the equator. The second is that it is a pseudocylindrical projection, meaning that the parallels are unequally spaced. Since then, many variations appeared over the years. Cylindrical Equal-Area: Cylindric, equal-area. This projection is undistorted along the equator, which is its standard parallel, but distortion increases rapidly towards the poles. The scale is correct along the standard parallels. The projection was first described by the Swiss mathematician Johann H. Lambert in 1772. Description. 3. It is available in The subsections below describe the cylindrical equal-area projection properties. The first condition is there must be equal area. The projection upon which the even more distorting Gall projectionis based. Practice online or make a printable study sheet.Collection of teaching and learning tools built by Wolfram education experts: dynamic textbook, lesson plans, widgets, interactive Demonstrations, and more. By the geometry of their construction, cylindrical projections stretch distances east-west. In this projection, the poles are represented as straight lines across the top and bottom of the grid, the same length as the equator. The amount of stretch is the same at any chosen latitude on all cylindrical projections, and is given by the The only cylindrical projections that preserve area have a north-south compression precisely the reciprocal of east-west stretching (Any particular cylindrical equal-area map has a pair of identical latitudes of opposite sign (or else the equator) at which the east–west scale matches the north–south scale. Along the standard parallel lines in this map (45° N and 45°S), there is no scale distortion and therefore the ellipses would be circular. The projection upon which the even more distorting Gall projectionis based. On an Equal-Surface Projection and its In cartography, the Lambert cylindrical equal-area projection, or Lambert cylindrical projection, is a cylindrical equal-area projection.
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