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The study of geodesics on an ellipsoid arose in connection with geodesy specifically with the solution of triangulation networks. The figure of the Earth is well approximated by an oblate ellipsoid, a slightly flattened sphere. A geodesic is the shortest path between two points on a curved surface, analogous to a straight line on a plane surface. The solution of a triangulation network on an ellipsoid is therefore a set of exercises in spheroidal trigonometry.

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  • Geodätische Hauptaufgabe (de)
  • Geodesics on an ellipsoid (en)
  • Геодезические на эллипсоиде (ru)
rdfs:comment
  • Als geodätische Hauptaufgaben versteht man in der Geodäsie zwei wichtige Arten der Koordinatentransformation, nämlich jene von rechtwinkligen in Polarkoordinaten und umgekehrt. (de)
  • The study of geodesics on an ellipsoid arose in connection with geodesy specifically with the solution of triangulation networks. The figure of the Earth is well approximated by an oblate ellipsoid, a slightly flattened sphere. A geodesic is the shortest path between two points on a curved surface, analogous to a straight line on a plane surface. The solution of a triangulation network on an ellipsoid is therefore a set of exercises in spheroidal trigonometry. (en)
  • Изучение геодезических на эллипсоиде возникло в связи с задачами геодезии, а именно с обработкой сетей триангуляции.Фигура Земли хорошо описывается эллипсоидом вращения, слегка сплющенной сферой. Геодезическая (геодезическая линия) это кратчайший путь между двумя точками на кривой поверхности, на плоскости он обращается в прямую. Таким образом, обработка сети триангуляции на эллипсоиде использует ряд задач сфероидической тригонометрии. (ru)
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  • http://commons.wikimedia.org/wiki/Special:FilePath/Transpolar_geodesic_on_a_triaxial_ellipsoid_case_A.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Circumpolar_geodesic_on_a_triaxial_ellipsoid_case_A.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Circumpolar_geodesic_on_a_triaxial_ellipsoid_case_B.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Closed_geodesics_on_an_ellipsoid_of_revolution.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Definition_of_reduced_length_and_geodesic_scale.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Differential_element_of_a_geodesic_on_a_sphere.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Differential_element_of_a_geodesic_on_an_ellipsoid.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Differential_element_of_a_meridian_ellipse.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Envelope_of_geodesics_on_an_oblate_ellipsoid.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Four_geodesics_connecting_two_points_on_an_oblate_ellipsoid.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Geodesic_problem_mapped_to_the_auxiliary_sphere.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Geodesic_problem_on_a_sphere.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Geodesic_problem_on_an_ellipsoid.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Geodesics_and_geodesic_circles_on_an_oblate_ellipsoid.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Long_geodesic_on_a_prolate_ellipsoid.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Non-standard_closed_geodesics_on_an_ellipsoid_of_revolution_1.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Non-standard_closed_geodesics_on_an_ellipsoid_of_revolution_2.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Really_long_geodesic_on_an_oblate_ellipsoid.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Transpolar_geodesic_on_a_triaxial_ellipsoid_case_B.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Triaxial_ellipsoid_coordinate_system.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Unstable_umbilical_geodesic_on_a_triaxial_ellipsoid.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Long_geodesic_on_an_oblate_ellipsoid.svg
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