Transformation that preserves area measure of regions
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.
In differential geometry, an equiarealmap, sometimes called an authalic map, is a smooth map from one surface to another that preserves the areas of figures...
quadrilateral with integer sides, integer diagonals, and integer area. Equiarealmap Heronian triangle, a triangle with integer sides and integer area. List...
shape locally (conformal or orthomorphic) Preserving area (equal-area or equiareal or equivalent or authalic) Preserving distance (equidistant), a trait...
transformations preserve angles, and are, in the first order, similarities. Equiareal transformations, preserve areas in the planar case or volumes in the three...
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...
scaling, reflections, rotations, shears, and other similarities and linear maps. Since an affine transformation preserves straight lines and ratios of areas...
approximately preserves shapes. It is neither isometric (distance preserving) nor equiareal (area preserving). The stereographic projection gives a way to represent...
mapping of a surface onto the plane area that will be conformal mapping and equiareal mapping simultaneously because of invariant angles between any curves...
Global Information