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Let (x, y, z) be the standard Cartesian coordinates, and (ρ, θ, φ) the spherical coordinates, with θ the angle measured away from the +Z axis (as , see conventions in spherical coordinates). As φ has a range of 360° the same considerations as in polar (2 dimensional) coordinates apply whenever an arctangent of it is taken. θ has a range ...
Once the radius is fixed, the three coordinates (r, θ, φ), known as a 3-tuple, provide a coordinate system on a sphere, typically called the spherical polar coordinates. The plane passing through the origin and perpendicular to the polar axis (where the polar angle is a right angle ) is called the reference plane (sometimes fundamental plane ).
Points in the polar coordinate system with pole O and polar axis L. In green, the point with radial coordinate 3 and angular coordinate 60 degrees or (3, 60°). In blue, the point (4, 210°). In mathematics, the polar coordinate system specifies a given point in a plane by using a distance and an angle as its two coordinates. These are
Map to coordinates: Move a marker on a Google Maps map (map or satellite view) and get Latitude, Longitude for the location. User interface in English language. Mapcoordinates: Map to coordinates: Move a marker on a Google Maps map (map or satellite view) and get Latitude, Longitude and Elevation for the location. User interface in German language.
Coordinate conversion is composed of a number of different types of conversion: format change of geographic coordinates, conversion of coordinate systems, or transformation to different geodetic datums. Geographic coordinate conversion has applications in cartography, surveying, navigation and geographic information systems.
The universal polar stereographic (UPS) coordinate system is used in conjunction with the universal transverse Mercator (UTM) coordinate system to locate positions on the surface of the Earth. Like the UTM coordinate system, the UPS coordinate system uses a metric-based cartesian grid laid out on a conformally projected surface.
Some of the free software mentioned here does not have detailed maps (or maps at all) or the ability to follow streets or type in street names (no geocoding). However, in many cases, it is also that which makes the program free (and sometimes open source [ 1 ] ), avoid the need of an Internet connection, [ 2 ] [ 3 ] [ 4 ] and make it very ...
While it may have been used by ancient Egyptians for star maps in some holy books, [1] the earliest text describing the azimuthal equidistant projection is an 11th-century work by al-Biruni. [2] The first use of the projection on a terrestrial map is the pair of hemispheres by Glareanus of about 1510. [ 1 ]