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Shoelace scheme for determining the area of a polygon with point coordinates (,),..., (,). The shoelace formula, also known as Gauss's area formula and the surveyor's formula, [1] is a mathematical algorithm to determine the area of a simple polygon whose vertices are described by their Cartesian coordinates in the plane. [2]
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.
View from the Swabian Jura to the Alps. Geographical distance or geodetic distance is the distance measured along the surface of the Earth, or the shortest arch length.. The formulae in this article calculate distances between points which are defined by geographical coordinates in terms of latitude and longitude.
Extensions to the above notation allow the GEOREF system to be used to designate an area around a reference point. This is achieved by adding an area designation to a base GEOREF co-ordinate. The area designation can be the letter S, to specify the sides of a rectangle (separated by the letter X); or the letter R, to specify the radius of a circle.
Once again, the four barycentric coordinates are defined so that the first vertex maps to barycentric coordinates = (,,,), (,,,), etc. This is again a linear transformation, and we may extend the above procedure for triangles to find the barycentric coordinates of a point r {\displaystyle \mathbf {r} } with respect to a tetrahedron:
The World Geodetic System (WGS) is a standard used in cartography, geodesy, and satellite navigation including GPS.The current version, WGS 84, defines an Earth-centered, Earth-fixed coordinate system and a geodetic datum, and also describes the associated Earth Gravitational Model (EGM) and World Magnetic Model (WMM).
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A geographic coordinate system (GCS) is a spherical or geodetic coordinate system for measuring and communicating positions directly on Earth as latitude and longitude. [1] It is the simplest, oldest and most widely used type of the various spatial reference systems that are in use, and forms the basis for most others.