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Gnomonic projection of a portion of the north hemisphere centered on the geographic North Pole The gnomonic projection with Tissot's indicatrix of deformation. A gnomonic projection, also known as a central projection or rectilinear projection, is a perspective projection of a sphere, with center of projection at the sphere's center, onto any plane not passing through the center, most commonly ...
Gnomonics (from the ancient Greek word γνώμων, pronounced [/ɡnɔ̌ː.mɔːn/], meaning 'interpreter, discerner') is the study of the design, construction and use of sundials. The foundations of gnomonics were known to the ancient Greek Anaximander (ca. 550 BCE), which augmented the science of shadows brought back from Egypt by Thales of ...
Arithmetic mean of the equirectangular projection and the Aitoff projection. Standard world projection for the NGS since 1998. 1904 Van der Grinten: Pseudoconic Compromise Alphons J. van der Grinten: Boundary is a circle. All parallels and meridians are circular arcs. Usually clipped near 80°N/S. Standard world projection of the NGS in 1922 ...
Despite the name's literal meaning, projection is not limited to perspective projections, such as those resulting from casting a shadow on a screen, or the rectilinear image produced by a pinhole camera on a flat film plate. Rather, any mathematical function that transforms coordinates from the curved surface distinctly and smoothly to the ...
The gnomonic projection transforms the edges of spherical polyhedra to straight lines, preserving all polyhedra contained within a hemisphere, so it is a common choice. The Snyder equal-area projection can be applied to any polyhedron with regular faces. [ 3 ]
Admiralty Gnomonic Chart of the Indian and Southern Oceans, for use in plotting great circle tracks. A straight line drawn on a gnomonic chart is a portion of a great circle. When this is transferred to a Mercator chart, it becomes a curve.
Combined projections from the Klein disk model (yellow) to the Poincaré disk model (red) via the hemisphere model (blue) The Beltrami–Klein model (K in the picture) is an orthographic projection from the hemispherical model and a gnomonic projection of the hyperboloid model (Hy) with the center of the hyperboloid (O) as its center.
Orthographic projection in cartography has been used since antiquity. Like the stereographic projection and gnomonic projection, orthographic projection is a perspective projection in which the sphere is projected onto a tangent plane or secant plane. The point of perspective for the orthographic projection is at infinite distance.