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  2. Polar coordinate system - Wikipedia

    en.wikipedia.org/wiki/Polar_coordinate_system

    In green, the point with radial coordinate 3 and angular coordinate 60 degrees or (3, 60°). In blue, the point (4, 210°). In mathematics, the polar coordinate system specifies a given point in a plane by using a distance and an angle as its two coordinates. These are the point's distance from a reference point called the pole, and

  3. Mercator projection - Wikipedia

    en.wikipedia.org/wiki/Mercator_projection

    at latitude 60° the scale factor is k = sec 60° = 2, at latitude 80° the scale factor is k = sec 80° ≈ 5.76, at latitude 85° the scale factor is k = sec 85° ≈ 11.5. The area scale factor is the product of the parallel and meridian scales hk = sec 2 φ. For Greenland, taking 73° as a median latitude, hk = 11.7.

  4. Universal Transverse Mercator coordinate system - Wikipedia

    en.wikipedia.org/wiki/Universal_Transverse...

    Each of the 60 zones uses a transverse Mercator projection that can map a region of large north-south extent with low distortion. By using narrow zones of 6° of longitude (up to 668 km) in width, and reducing the scale factor along the central meridian to 0.9996 (a reduction of 1:2500), the amount of distortion is held below 1 part in 1,000 ...

  5. Geographic coordinate conversion - Wikipedia

    en.wikipedia.org/wiki/Geographic_coordinate...

    degrees and decimal minutes: 40° 26.767′ N 79° 58.933′ W; decimal degrees: +40.446 -79.982; There are 60 minutes in a degree and 60 seconds in a minute. Therefore, to convert from a degrees minutes seconds format to a decimal degrees format, one may use the formula

  6. Spherical coordinate system - Wikipedia

    en.wikipedia.org/wiki/Spherical_coordinate_system

    Elevation is 90 degrees (= ⁠ π / 2 ⁠ radians) minus inclination. Thus, if the inclination is 60 degrees (= ⁠ π / 3 ⁠ radians), then the elevation is 30 degrees (= ⁠ π / 6 ⁠ radians). In linear algebra, the vector from the origin O to the point P is often called the position vector of P.

  7. Shoelace formula - Wikipedia

    en.wikipedia.org/wiki/Shoelace_formula

    Shoelace scheme for determining the area of a polygon with point coordinates (,),..., (,). The shoelace formula, also known as Gauss's area formula and the surveyor's formula, [1] is a mathematical algorithm to determine the area of a simple polygon whose vertices are described by their Cartesian coordinates in the plane. [2]

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  9. 60th parallel south - Wikipedia

    en.wikipedia.org/wiki/60th_parallel_south

    The 60th parallel south is a circle of latitude that is 60 degrees south of Earth's equatorial plane.No land lies on the parallel—it crosses nothing but ocean. The closest land is a group of rocks north of Coronation Island (Melson Rocks or Governor Islands) of the South Orkney Islands, which are about 54 km south of the parallel, and Thule Island and Cook Island of the South Sandwich ...