In differential geometry, an equiareal map, sometimes called an authalic map, is a smooth map from one surface to another that preserves the areas of figures...
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Equal-area projection (redirect from Equal-area map)
latitude Authalic radius Equiareal map (mathematics) Measure-preserving dynamical system Geodesic polygon area Snyder, John P. (1987). Map projections — A working...
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transformations. Euclidean area is invariant under linear maps which have determinant ±1 (see Equiareal map § Linear transformations). Some invariants of projective...
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quadrilateral with integer sides, integer diagonals, and integer area. Equiareal map Heronian triangle, a triangle with integer sides and integer area. List...
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Equal-area may refer to: Equal-area map projection Equiareal map This disambiguation page lists articles associated with the title Equal-area. If an internal...
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shape locally (conformal or orthomorphic) Preserving area (equal-area or equiareal or equivalent or authalic) Preserving distance (equidistant), a trait...
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transformations preserve angles, and are, in the first order, similarities. Equiareal transformations, preserve areas in the planar case or volumes in the three...
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Affine transformation (redirect from Affine map)
determinant of A {\displaystyle A} is 1 or −1 then the transformation is an equiareal mapping. Such transformations form a subgroup called the equi-affine group...
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Equidissection (redirect from Equiareal triangulation)
scaling, reflections, rotations, shears, and other similarities and linear maps. Since an affine transformation preserves straight lines and ratios of areas...
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Stereographic projection (category Map projections)
approximately preserves shapes. It is neither isometric (distance preserving) nor equiareal (area preserving). The stereographic projection gives a way to represent...
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