mathematics of map projections

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• Map projection — A medieval depiction of the Ecumene (1482, Johannes Schnitzer, engraver), constructed after the coordinates in Ptolemy s Geography and using his second map projection A map projection is any method of representing the surface of a sphere or other …   Wikipedia

• mathematics — /math euh mat iks/, n. 1. (used with a sing. v.) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically. 2. (used with a sing. or pl. v.) mathematical procedures,… …   Universalium

• Conformal map — For other uses, see Conformal (disambiguation). A rectangular grid (top) and its image under a conformal map f (bottom). It is seen that f maps pairs of lines intersecting at 90° to pairs of curves still intersecting at 90°. In mathematics, a… …   Wikipedia

• Projection (mathematics) — Commutativity of this diagram is the universality of projection π, for any map f and set X. Generally speaking, in mathematics, a projection is a mapping of a set (or of a mathematical structure) which is idempotent, which means that a projection …   Wikipedia

• Duality (mathematics) — In mathematics, a duality, generally speaking, translates concepts, theorems or mathematical structures into other concepts, theorems or structures, in a one to one fashion, often (but not always) by means of an involution operation: if the dual… …   Wikipedia

• Submersion (mathematics) — In mathematics, a submersion is a differentiable map between differentiable manifolds whose derivative is everywhere surjective. Explicitly, f : M rarr; N is a submersion if:Df p : T p M o T {f(p)}N,is a surjective map at every point p of M .… …   Wikipedia

• conformal map — In mathematics, a transformation of one graph into another in such a way that the angle of intersection of any two lines or curves remains unchanged. The most common example is the Mercator map, a two dimensional representation of the surface of… …   Universalium

• Geographic coordinate system — Map of Earth showing lines of latitude (horizontally) and longitude (vertically), Eckert VI projection; large version (pdf, 3.12MB) …   Wikipedia

• History of cartography — The Fra Mauro map, one of the greatest memorial of medieval cartography, was made around 1450 by the Venetian monk Fra Mauro. It is a circular world map drawn on parchment and set in a wooden frame, about two meters in diameter Cartography (from… …   Wikipedia

• geometry — /jee om i tree/, n. 1. the branch of mathematics that deals with the deduction of the properties, measurement, and relationships of points, lines, angles, and figures in space from their defining conditions by means of certain assumed properties… …   Universalium

• Mercator projection — of the world between 82°S and 82°N. Mercator world …   Wikipedia