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Goode Homolosine Projection
The Goode homolosine projection (or interrupted Goode homolosine projection) is a pseudocylindrical, equal-area, composite map projection used for world maps. Normally it is presented with multiple interruptions, most commonly of the major oceans. Its equal-area property makes it useful for presenting spatial distribution of phenomena. Development The projection was developed in 1923 by John Paul Goode to provide an alternative to the Mercator projection for portraying global areal relationships. Goode offered variations of the interruption scheme for emphasizing the world’s land and the world’s oceans. Some variants include extensions that repeat regions in two different lobes of the interrupted map in order to show Greenland or eastern Russia undivided. The homolosine evolved from Goode’s 1916 experiments in interrupting the Mollweide projection. Because the Mollweide is sometimes called the "homolographic projection" (meaning, ''equal-area map''), Goode fused the two ...
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Goode Homolosine Projection SW
Goode may refer to: Businesses * Goode Brothers (other) * GOODE Ski Technologies * H. A. and W. Goode, regional department store in Australia Places in the United States * Goode, Kansas, a ghost town * Goode, Virginia, an unincorporated community * Goode Glacier, a glacier in the North Cascades National Park, Washington Other uses * Goode (name) * Goode Solar Telescope, a scientific facility * Buddy Goode, a fictional character * Harry H. Goode Memorial Award * Thomas Goode Jones School of Law See also * * Good (other) Good is that which is to be preferred and prescribed; not evil. Good or Goods may also refer to: Common uses * "Good" the opposite of evil, for the distinction between positive and negative entities, see Good and evil * Goods, materials that sat ... * Goodes (other) * Goodness (other) * Goods (other) {{Disambiguation, geo ...
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Map Projection
In cartography, a map projection is any of a broad set of Transformation (function) , transformations employed to represent the curved two-dimensional Surface (mathematics), surface of a globe on a Plane (mathematics), plane. In a map projection, coordinates, often expressed as latitude and longitude, of locations from the surface of the globe are transformed to coordinates on a plane. Projection is a necessary step in creating a two-dimensional map and is one of the essential elements of cartography. All projections of a sphere on a plane necessarily distort the surface in some way. Depending on the purpose of the map, some distortions are acceptable and others are not; therefore, different map projections exist in order to preserve some properties of the sphere-like body at the expense of other properties. The study of map projections is primarily about the characterization of their distortions. There is no limit to the number of possible map projections. More generally, proje ...
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Equal-area Projection
In cartography, an equivalent, authalic, or equal-area projection is a map projection that preserves relative area measure between any and all map regions. Equivalent projections are widely used for thematic maps showing scenario distribution such as population, farmland distribution, forested areas, and so forth, because an equal-area map does not change apparent density of the phenomenon being mapped. By Carl Friedrich Gauss, Gauss's Theorema Egregium, an equal-area projection cannot be conformal map projection, conformal. This implies that an equal-area projection inevitably distorts shapes. Even though a point or points or a path or paths on a map might have no distortion, the greater the area of the region being mapped, the greater and more obvious the distortion of shapes inevitably becomes. Description In order for a map projection of the sphere to be equal-area, its generating formulae must meet this Cauchy-Riemann equations, Cauchy-Riemann-like condition: :\frac \cdo ...
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Map Projection
In cartography, a map projection is any of a broad set of Transformation (function) , transformations employed to represent the curved two-dimensional Surface (mathematics), surface of a globe on a Plane (mathematics), plane. In a map projection, coordinates, often expressed as latitude and longitude, of locations from the surface of the globe are transformed to coordinates on a plane. Projection is a necessary step in creating a two-dimensional map and is one of the essential elements of cartography. All projections of a sphere on a plane necessarily distort the surface in some way. Depending on the purpose of the map, some distortions are acceptable and others are not; therefore, different map projections exist in order to preserve some properties of the sphere-like body at the expense of other properties. The study of map projections is primarily about the characterization of their distortions. There is no limit to the number of possible map projections. More generally, proje ...
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World Map
A world map is a map of most or all of the surface of Earth. World maps, because of their scale, must deal with the problem of projection. Maps rendered in two dimensions by necessity distort the display of the three-dimensional surface of the Earth. While this is true of any map, these distortions reach extremes in a world map. Many techniques have been developed to present world maps that address diverse technical and aesthetic goals. Charting a world map requires global knowledge of the Earth, its oceans, and its continents. From prehistory through the Middle Ages, creating an accurate world map would have been impossible because less than half of Earth's coastlines and only a small fraction of its continental interiors were known to any culture. With exploration that began during the European Renaissance, knowledge of the Earth's surface accumulated rapidly, such that most of the world's coastlines had been mapped, at least roughly, by the mid-1700s and the continental i ...
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John Paul Goode
John Paul Goode (21 November 1862 – 5 August 1932), a geographer and cartographer, was one of the key geographers in American geography's Incipient Period from 1900 to 1940 (McMaster and McMaster 306). Goode was born in Stewartville, Minnesota on November 21, 1862. Goode received his bachelor's degree from the University of Minnesota 1889 and his doctorate in economics from the University of Pennsylvania in 1903. Goode got his first teaching job at Moorhead Normal School in 1889 where he taught geology, chemistry, physics, anatomy, botany and physiology. He married Ida Katherine Hancock, a physiology and arithmetic instructor at the school since 1897, in 1901 in Crookston, MN. By late 1901, Goode and Ida moved to Charleston, IL as a member of the faculty at Eastern Illinois State Normal School (now Eastern Illinois University), where he taught physics and geography (Eastern Illinois University iv). Later on in 1903, he was offered a position as a professor in the Geography Dep ...
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Interrupted Projection
In map projections, an interruption is any place where the globe has been split. All map projections are interrupted at at least one point. Typical world maps are interrupted along an entire meridian. In that typical case, the interruption forms an east–west boundary, even though the globe has no boundaries.https://www.mapthematics.com/Downloads/Gores.pdf The design of globe gores Most map projections can be interrupted beyond what is required by the projection mathematics. The reason for doing so is to improve distortion within the map by sacrificing proximity—that is, by separating places on the globe that ought to be adjacent. Effectively, this means that the resulting map is actually an amalgam of several partial map projections of smaller regions. Because the regions are smaller, they cover less of the globe, are closer to flat, and therefore accrue less inevitable distortion. These extra interruptions do not create a new projection. Rather, the result is an "arrangement" o ...
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Mollweide Projection
400px, Mollweide projection of the world 400px, The Mollweide projection with Tissot's indicatrix of deformation The Mollweide projection is an equal-area, pseudocylindrical map projection generally used for maps of the world or celestial sphere. It is also known as the Babinet projection, homalographic projection, homolographic projection, and elliptical projection. The projection trades accuracy of angle and shape for accuracy of proportions in area, and as such is used where that property is needed, such as maps depicting global distributions. The projection was first published by mathematician and astronomer Karl (or Carl) Brandan Mollweide (1774–1825) of Leipzig in 1805. It was reinvented and popularized in 1857 by Jacques Babinet, who gave it the name homalographic projection. The variation homolographic arose from frequent nineteenth-century usage in star atlases. Properties The Mollweide is a pseudocylindrical projection in which the equator is represented as ...
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Sinusoidal Projection
The sinusoidal projection is a pseudocylindrical equal-area map projection, sometimes called the Sanson–Flamsteed or the Mercator equal-area projection. Jean Cossin of Dieppe was one of the first mapmakers to use the sinusoidal, using it in a world map in 1570. The projection represents the poles as points, as they are on the sphere, but the meridians and continents are distorted. The equator and the central meridian are the most accurate parts of the map, having no distortion at all, and the further away from those that one examines, the greater the distortion. The projection is defined by: :\begin x &= \left(\lambda - \lambda_0\right) \cos \varphi \\ y &= \varphi\,\end where \varphi is the latitude, ''λ'' is the longitude, and ''λ'' is the longitude of the central meridian. Scale is constant along the central meridian, and east–west scale is constant throughout the map. Therefore, the length of each parallel on the map is proportional to the cosine of the latitude, ...
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