Research Article

Approximations, Errors, and Misconceptions in the Use of Map Projections

Table 4

Arc-to-chord corrections in Universal Transverse Mercator projection, Zone 30 N (central meridian −3°), for different location (coordinates , , , and in ITRF14), length (s), and orientation of line ends.

Description of point location

Middle latitudes, near the central meridian, short distance, orientation 140−2.540.009−2.4981100.1
Middle latitudes, near the central meridian, long distance, orientation 140−2.540.887−2.2941001012.1
Middle latitudes, near the central meridian, short distance, orientation 240−2.540.002−2.4891770.0
Middle latitudes, near the central meridian, long distance, orientation 240−2.540.197−1.356100774.4
Middle latitudes, far from the central meridian, short distance, orientation 140−0.540.009−0.4981100.5
Middle latitudes, far from the central meridian, long distance, orientation 140−0.540.887−0.2941001055.1
Low latitudes, near the central meridian, long distance, orientation 17−2.57.891−2.3431001015.4
Low latitudes, far from the central meridian, long distance, orientation 17−0.57.891−0.3431001071.5
High latitudes, near the central meridian, long distance, orientation 180−2.580.881−1.519100103.8
High latitudes, far from the central meridian, long distance, orientation 180−0.580.8810.4811001013.2