WebIn the left there's a spherical map and in the right there's the equivalent plane map, the equirectangular projection from sphere to a rectangle. There's no stretching on the equator, but the the image is stretched horizontally elsewhere. The more stretching the further the point is from the equator. WebSpherical or Equirectangular projection Mercator projection The equations for longitude and latitude in terms of normalised image coordinates (x,y) (-1..1) are as follows. longitude = x * pi latitude = atan (exp (-2 * pi * y)) The reverse mapping is x = longitude / pi y = ln ( (1 + sin (latitude))/ (1 - sin (latitude))) / (4 pi)

How would I calculate the area of a rectangle on a sphere …

WebApr 2, 2024 · The cartesian or rectangular coordinate system provides a straightforward way to define the location of points in three-dimensional space. All the three lines passing … In spherical geometry, a spherical rectangle is a figure whose four edges are great circle arcs which meet at equal angles greater than 90°. Opposite arcs are equal in length. The surface of a sphere in Euclidean solid geometry is a non-Euclidean surface in the sense of elliptic geometry. Spherical geometry is the simplest form of elliptic geometry. macarena perusset

Rounded Rectangle -- from Wolfram MathWorld

WebMar 25, 2015 · Note: Spherical rectangle is a quadrilateral having equal opposite sides but non-parallel & all the interior angles are equal in … Web2.7.4 Convert from rectangular to spherical coordinates. The Cartesian coordinate system provides a straightforward way to describe the location of points in space. Some surfaces, however, can be difficult to model with equations based on the Cartesian system. This is a familiar problem; recall that in two dimensions, polar coordinates often ... macarena olona e isabel peralta