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  2. Great-circle distance - Wikipedia

    en.wikipedia.org/wiki/Great-circle_distance

    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 between the two points on the surface of the sphere. (By comparison, the shortest path passing ...

  3. Geographical distance - Wikipedia

    en.wikipedia.org/wiki/Geographical_distance

    The shortest distance between two points in plane is a Cartesian straight line. The Pythagorean theorem is used to calculate the distance between points in a plane. Even over short distances, the accuracy of geographic distance calculations which assume a flat Earth depend on the method by which the latitude and longitude coordinates have been ...

  4. List of extreme points of the United States - Wikipedia

    en.wikipedia.org/wiki/List_of_extreme_points_of...

    Greatest distance between any two points in the 50 states: 5,859 miles (9,429 km), from Kure Atoll, Hawaii, to Log Point, Elliott Key, Florida. [23] Greatest distance between any two points in the contiguous 48 states: 2,901 miles (4,669 km), from North Farallon Island, California, to Sail Rock, east of West Quoddy Head, Maine. [23]

  5. Haversine formula - Wikipedia

    en.wikipedia.org/wiki/Haversine_formula

    d is the distance between the two points along a great circle of the sphere (see spherical distance), r is the radius of the sphere. The haversine formula allows the haversine of θ to be computed directly from the latitude (represented by φ) and longitude (represented by λ) of the two points:

  6. Extremes on Earth - Wikipedia

    en.wikipedia.org/wiki/Extremes_on_Earth

    Along constant latitude. The longest continuous east–west distance on land is 10,726 km (6,665 mi) along the latitude 48°24'53"N, from the west coast of France (Pointe de Corsen, 48°24′53″N 4°47′44″W  /  48.41472°N 4.79556°W  / 48.41472; -4.79556. ) through Central Europe, Ukraine, Russia, Kazakhstan, Mongolia and China ...

  7. Distance - Wikipedia

    en.wikipedia.org/wiki/Distance

    The Euclidean distance is the length of the displacement vector. The displacement in classical physics measures the change in position of an object during an interval of time. While distance is a scalar quantity, or a magnitude, displacement is a vector quantity with both magnitude and direction. In general, the vector measuring the difference ...

  8. Euclidean distance - Wikipedia

    en.wikipedia.org/wiki/Euclidean_distance

    Euclidean distance. In mathematics, the Euclidean distance between two points in Euclidean space is the length of the line segment between them. It can be calculated from the Cartesian coordinates of the points using the Pythagorean theorem, and therefore is occasionally called the Pythagorean distance. These names come from the ancient Greek ...

  9. Mercator projection - Wikipedia

    en.wikipedia.org/wiki/Mercator_projection

    The difference is small for short distances but increases as λ, the longitudinal separation, increases. For two points, A and B, separated by 10° of longitude on the parallel at 60° the distance along the parallel is approximately 0.5 km greater than the great circle distance. (The distance AB along the parallel is (a cos φ) λ.

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