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A diagram illustrating great-circle distance (drawn in red) between two points on a sphere, P and Q. Two antipodal points, u and v are also shown. The great-circle distance, orthodromic distance, or spherical distance is the distance between two points on a sphere, measured along the great-circle arc between them. This arc is the shortest path ...
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.
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Virginia has the most mileage of the trail of any state with 550.3 miles (885.6 km) of the trail (one-fourth of the entire trail), including more than 20 miles (32 km) along the West Virginia border. [6]
The two cities used were Alexandria and Syene (modern Aswan), and the distance between the cities was measured by professional bematists. [16] A geometric calculation reveals that the circumference of the Earth is the distance between the two cities divided by the difference in shadow angles expressed as a fraction of one turn.
River miles are used in a variety of ways. The Commonwealth of Pennsylvania, in its 2001 Pennsylvania Gazetteer of Streams, lists every named stream and every unnamed stream in a named geographic feature in the state, and gives the drainage basin area, mouth coordinates, and river mile, specifically the distance from the mouth of the tributary to the mouth of its parent stream. [1]
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