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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.
With this method, al-Bīrūnī estimated the longitude difference between Baghdad and Ghazni using distance estimates from travellers over two different routes (and with a somewhat arbitrary adjustment for the crookedness of the roads). His result for the longitude difference between the two cities differs by about 1° from the modern value. [14]
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.
The Geography consists of three sections, divided among 8 books. Book I is a treatise on cartography and chorography, describing the methods used to assemble and arrange Ptolemy's data. From Book II through the beginning of Book VII, a gazetteer provides longitude and latitude values for the world known to the ancient Romans (the "ecumene ...
To make your layered custom map, sign into your Google Maps account and open or create a map. Add and name a layer, like "cool bars," then explore and save certain businesses to your layer.
Greek maps were often either localized, intended to demonstrate the shapes of specific cities, or to represent abstract concepts, such as the realm of the oikoumene, or known world. [11] There are no extant Greek maps, but descriptions of one by Anaximander and others indicate that they split the oikoumene into continents—Europe, Asia, and ...
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.
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 ...
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