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The haversine formula determines the great-circle distance between two points on a sphere given their longitudes and latitudes.Important in navigation, it is a special case of a more general formula in spherical trigonometry, the law of haversines, that relates the sides and angles of spherical triangles.
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. This distance is an element in solving the second (inverse) geodetic ...
The first long-distance hiking trail in Europe was the National Blue Trail of Hungary, established in 1938. The formation of the European Union made transnational hiking trails possible. Today, the network consists of 12 paths and covers more than 65,000 kilometres (40,000 mi), crisscrossing Europe. In general, the routes connect and make use ...
In taxicab geometry, the distance between any two points equals the length of their shortest grid path. This different definition of distance also leads to a different definition of the length of a curve, for which a line segment between any two points has the same length as a grid path between those points rather than its Euclidean length.
Vincenty's formulae are two related iterative methods used in geodesy to calculate the distance between two points on the surface of a spheroid, developed by Thaddeus Vincenty (1975a). They are based on the assumption that the figure of the Earth is an oblate spheroid, and hence are more accurate than methods that assume a spherical Earth, such ...
In the Euclidean TSP (see below), the distance between two cities is the Euclidean distance between the corresponding points. In the rectilinear TSP, the distance between two cities is the sum of the absolute values of the differences of their x- and y-coordinates. This metric is often called the Manhattan distance or city-block metric.
A free membership comes with filters for gender, location, age, distance, ethnicity and religion. Preferred memberships add additional filters, unlimited likes and the ability to see everyone who ...
The largest cities in Europe have official populations of over one million inhabitants within their city boundaries. These rankings are based on populations contained within city administrative boundaries, as opposed to urban areas or metropolitan areas , which necessarily have larger populations than the cities at their core.