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Projection | A Wisdom Archive on Projection |  | Projection A selection of articles related to Projection |  |
| We recommend this article: Projection - 1, and also this: Projection - 2. |
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projection, Projection
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| ARTICLES RELATED TO Projection |  |  |  | Projection: Encyclopedia II - Map projection - Choosing a projection surfaceA surface that can be unfolded or unrolled into a flat plane or sheet without stretching, tearing or shrinking is called a 'developable surface'. The cylinder, cone and of course the plane are all developable surfaces. Unfortunately, the sphere and ellipsoid are not developable surfaces. Any projection that attempts to project a sphere (or an ellipsoid) on a flat sheet will have to distort the image (similar t ...
See also:Map projection, Map projection - Metric properties of maps, Map projection - Construction of a map projection, Map projection - Choosing a projection surface, Map projection - Orientation of the projection, Map projection - Scale, Map projection - Choosing a model for the shape of the Earth, Map projection - Classification, Map projection - Projections by surface, Map projection - Cylindrical, Map projection - Pseudocylindrical, Map projection - Conical, Map projection - Pseudoconical, Map projection - Azimuthal projections onto a plane, Map projection - Projections by preservation of a metric property, Map projection - Conformal, Map projection - Equal-area, Map projection - Equidistant, Map projection - Gnomonic, Map projection - Retroazimuthal, Map projection - Compromise projections, Map projection - Other noteworthy projections Read more here: » Map projection: Encyclopedia II - Map projection - Choosing a projection surface |
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| | | | |  |  |  | Projection: Encyclopedia II - Map projection - Construction of a map projectionThe creation of a map projection involves three steps:
Selection of a model for the shape of the earth or planetary body (usually choosing between a sphere or ellipsoid)
Transformation of geographic coordinates (longitude and latitude) to plane coordinates (eastings and northings or x,y)
Reduction of the scale (it does not matter in what order the second and third steps are performed)
Because the real earth's shape is irregular, information is lost in the first step, in which an approximating, regular model is chosen. Reducing the scale may be considered to b ...
See also:Map projection, Map projection - Metric properties of maps, Map projection - Construction of a map projection, Map projection - Choosing a projection surface, Map projection - Orientation of the projection, Map projection - Scale, Map projection - Choosing a model for the shape of the Earth, Map projection - Classification, Map projection - Projections by surface, Map projection - Cylindrical, Map projection - Pseudocylindrical, Map projection - Conical, Map projection - Pseudoconical, Map projection - Azimuthal projections onto a plane, Map projection - Projections by preservation of a metric property, Map projection - Conformal, Map projection - Equal-area, Map projection - Equidistant, Map projection - Gnomonic, Map projection - Retroazimuthal, Map projection - Compromise projections, Map projection - Other noteworthy projections Read more here: » Map projection: Encyclopedia II - Map projection - Construction of a map projection |
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| |  |  |  | Projection: Encyclopedia II - Manhattan Project - Project sitesThough it involved over thirty different research and production sites, the Manhattan Project was largely carried out in three secret scientific cities that were established by power of eminent domain: Hanford, Washington, Los Alamos, New Mexico, and Oak Ridge, Tennessee. The Los Alamos National Laboratory was built on a mesa that previously hosted the Los Alamos Ranch School. The Hanford Site, which grew to almost 1000 square miles (2,600 km²), took over irrigated farm land, fruit orchards, a railroad, and two active farming communiti ...
See also:Manhattan Project, Manhattan Project - 1900s-1939: Nuclear physics and international politics, Manhattan Project - Research in nuclear explosives urged, Manhattan Project - Discovery of the feasibility of an atomic bomb, Manhattan Project - The program starts in earnest, Manhattan Project - The conferences of summer 1942, Manhattan Project - Project sites, Manhattan Project - Need for coordination, Manhattan Project - The Manhattan Engineering District, Manhattan Project - The uranium bomb, Manhattan Project - The plutonium bomb, Manhattan Project - Similar efforts Read more here: » Manhattan Project: Encyclopedia II - Manhattan Project - Project sites |
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|  |  |  | Projection: Encyclopedia II - Projective transformation - Transformations on the projective planeTwo-dimensional projective transformations are a type of automorphism of the projective plane onto itself.
Planar transformations can be defined synthetically as follows: point X on a "subjective" plane must be transformed to a point T also on the subjective plane. The transformations uses these tools: a pair of "observation points" P and Q, and an "objective" plane. The subjective and objective planes and the two poin ...
See also:Projective transformation, Projective transformation - Transformations on the projective line, Projective transformation - Analysis, Projective transformation - Inverse transformation, Projective transformation - Identity transformation, Projective transformation - Composition of transformations, Projective transformation - The cross-ratio defined by means of a projection, Projective transformation - Conservation of cross-ratio, Projective transformation - Transformations on the projective plane, Projective transformation - Analysis, Projective transformation - Trilinear transformations, Projective transformation - Composition of trilinear transformations, Projective transformation - Planar transformations of lines, Projective transformation - Planar transformations of conic sections, Projective transformation - Planar projectivities and cross-ratio, Projective transformation - Example, Projective transformation - Transformations in projective 3-space, Projective transformation - Analysis, Projective transformation - Quadrilinear transformations, Projective transformation - Properties of quadrilinear transformations, Projective transformation - Spatial transformations of planes, Projective transformation - Reference Read more here: » Projective transformation: Encyclopedia II - Projective transformation - Transformations on the projective plane |
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|  |  |  | Projection: Encyclopedia II - Projection clock - HistoryProjection clocks were patented at least twice: once in 1909, and another time in 1940 [1]. Both patents have expired by now, so any company or hobbyist can build projection clocks.
Previously, projection clocks, like other clocks of that period, were universally analog. With the widespread adoption of digital clocks, digital projection clocks have also appeared.
...
See also:Projection clock, Projection clock - History, Projection clock - Technology, Projection clock - Low-brightness projection clocks, Projection clock - High-brightness projection clocks, Projection clock - Safety notes Read more here: » Projection clock: Encyclopedia II - Projection clock - History |
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| |  |  |  | Projection: Encyclopedia II - Map projection - ClassificationA fundamental projection classification is based on type of projection surface onto which the globe is conceptually projected. The projections are described in terms of placing a gigantic surface in contact with the earth, followed by an implied scaling operation. These surfaces are cylindrical (e.g., Mercator), conic (e.g., Albers), and azimuthal or plane (e.g., stereographic). Many mathematical projections, however, do not neatly fit into any of these three conceptual projection methods. Hence other peer categories have been described in the literature, such as pseudoconic, pseudocylindrical ...
See also:Map projection, Map projection - Metric properties of maps, Map projection - Construction of a map projection, Map projection - Choosing a projection surface, Map projection - Orientation of the projection, Map projection - Scale, Map projection - Choosing a model for the shape of the Earth, Map projection - Classification, Map projection - Projections by surface, Map projection - Cylindrical, Map projection - Pseudocylindrical, Map projection - Conical, Map projection - Pseudoconical, Map projection - Azimuthal projections onto a plane, Map projection - Projections by preservation of a metric property, Map projection - Conformal, Map projection - Equal-area, Map projection - Equidistant, Map projection - Gnomonic, Map projection - Retroazimuthal, Map projection - Compromise projections, Map projection - Other noteworthy projections Read more here: » Map projection: Encyclopedia II - Map projection - Classification |
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| |  |  |  | Projection: Encyclopedia II - Astral projection - Other kinds of projection
Astral projection - Real time projection.
In contrast to "astral" projection, the traditional understanding of out-of-body experiences involve the projector (or traveler) moving about in the "real" world as an invisible ghost in what is sometimes referred to as Real Time Projection (or RTP).
Another popular term to refer to this kind of OOBE consists of "etheral projection" as opposed to "astral projection". People who claim to have experienced both say they can clearly observe the distinction between thes ...
See also:Astral projection, Astral projection - Schools of Thought, Astral projection - Mystical Model, Astral projection - Phasing Model, Astral projection - Other kinds of projection, Astral projection - Real time projection, Astral projection - Virtual reality projection, Astral projection - Remote viewing, Astral projection - Research, Astral projection - Astral projection and the Bible, Astral projection - Major proponents Read more here: » Astral projection: Encyclopedia II - Astral projection - Other kinds of projection |
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| |  |  |  | Projection: Encyclopedia II - Astral projection - Astral projection and the BibleThe Bible describes people as being "in the spirit" while receiving prophecy. Many biblical scholars attribute this to being in a dream-like state or trance. The terminology of astral projection is also found in Ecclesiastes 12:6-12:7:
"Remember [your Creator] — before the silver cord is severed,
or the golden bowl is broken;
before the pitcher is shattered at the spring,
or the wheel broken at the well,
and the dust returns to the ground it c ...
See also:Astral projection, Astral projection - Schools of Thought, Astral projection - Mystical Model, Astral projection - Phasing Model, Astral projection - Other kinds of projection, Astral projection - Real time projection, Astral projection - Virtual reality projection, Astral projection - Remote viewing, Astral projection - Research, Astral projection - Astral projection and the Bible, Astral projection - Major proponents Read more here: » Astral projection: Encyclopedia II - Astral projection - Astral projection and the Bible |
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|  |  |  | Projection: Encyclopedia II - Map projection - ScaleA globe is the only way to represent the earth with the same scale throughout the entire map surface and in all directions. For a flat map this is not even possible across an area of any extent.
Thus, on a flat map, properties of constant scale are always limited.
Possible properties are:
The scale depends on location, but not on direction; this is equivalent with preservation of angles: conformal map
For a given latitude and direction, the scale is the same everywhere; this applies for any cylindrical pro ...
See also:Map projection, Map projection - Metric properties of maps, Map projection - Construction of a map projection, Map projection - Choosing a projection surface, Map projection - Orientation of the projection, Map projection - Scale, Map projection - Choosing a model for the shape of the Earth, Map projection - Classification, Map projection - Projections by surface, Map projection - Cylindrical, Map projection - Pseudocylindrical, Map projection - Conical, Map projection - Pseudoconical, Map projection - Azimuthal projections onto a plane, Map projection - Projections by preservation of a metric property, Map projection - Conformal, Map projection - Equal-area, Map projection - Equidistant, Map projection - Gnomonic, Map projection - Retroazimuthal, Map projection - Compromise projections, Map projection - Other noteworthy projections Read more here: » Map projection: Encyclopedia II - Map projection - Scale |
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| | |  |  |  | Projection: Encyclopedia II - Project Gutenberg - IdealsMichael Hart said in 2004, "The mission of Project Gutenberg is simple: 'To encourage the creation and distribution of eBooks.'" [1]
A slogan of the project is "break down the bars of ignorance and illiteracy", because its volunteers aim to continue spreading public literacy and appreciation for the literary heritage just as public libraries began to do in the early 20th century.
Project Gutenberg is intentionally decentralized. For example, there is no selection policy dictating what texts to add. Instead, individual volunteers work on wha ...
See also:Project Gutenberg, Project Gutenberg - History, Project Gutenberg - Scope of collection, Project Gutenberg - Ideals, Project Gutenberg - Copyright issues, Project Gutenberg - Criticism, Project Gutenberg - Affiliated projects Read more here: » Project Gutenberg: Encyclopedia II - Project Gutenberg - Ideals |
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|  |  |  | Projection: Encyclopedia II - Projective line - Examples
Projective line - Real projective line.
The projective line over the real numbers is called the real projective line. It is given by projecting points in R2 onto the unit circle and then identifying diametrically opposite points. In terms of group theory we can take the quotient by the subgroup {1,−1}. Topologically, it is again a circle. One may also think of gluing the two "ends" of the real line onto a new point ∞ resulting in a circle.
Compare the extended real number line, which distinguishes ∞ and −∞.
Projective line - Complex ...
See also:Projective line, Projective line - Homogeneous coordinates, Projective line - Examples, Projective line - Real projective line, Projective line - Complex projective line: the Riemann sphere, Projective line - For a finite field, Projective line - Symmetry group, Projective line - As algebraic curve Read more here: » Projective line: Encyclopedia II - Projective line - Examples |
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