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  2. Compactness measure - Wikipedia

    en.wikipedia.org/wiki/Compactness_measure

    Other tests involve determining how much area overlaps with a circle of the same area [2] or a reflection of the shape itself. [1] Compactness measures can be defined for three-dimensional shapes as well, typically as functions of volume and surface area. One example of a compactness measure is sphericity.

  3. Geographical distance - Wikipedia

    en.wikipedia.org/wiki/Geographical_distance

    Geographical distance or geodetic distance is the distance measured along the surface of the Earth, or the shortest arch length. The formulae in this article calculate distances between points which are defined by geographical coordinates in terms of latitude and longitude. This distance is an element in solving the second (inverse) geodetic ...

  4. Figure of the Earth - Wikipedia

    en.wikipedia.org/wiki/Figure_of_the_Earth

    One other surface is involved in geodetic measurement: the geoid. In geodetic surveying, the computation of the geodetic coordinates of points is commonly performed on a reference ellipsoid closely approximating the size and shape of the Earth in the area of the survey. The actual measurements made on the surface of the Earth with certain ...

  5. Geometry - Wikipedia

    en.wikipedia.org/wiki/Geometry

    Geometry (from Ancient Greek γεωμετρία (geōmetría) 'land measurement'; from γῆ (gê) 'earth, land' and μέτρον (métron) 'a measure') [1] is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. [2]

  6. Map projection - Wikipedia

    en.wikipedia.org/wiki/Map_projection

    Lambert azimuthal equal-area. Distance from the tangent point on the map is proportional to straight-line distance through the Earth: r(d) = c sin ⁠ d / 2R ⁠ [38] Logarithmic azimuthal is constructed so that each point's distance from the center of the map is the logarithm of its distance from the tangent point on the Earth.

  7. Coastline paradox - Wikipedia

    en.wikipedia.org/wiki/Coastline_paradox

    This was the beginning of the coastline problem, which is a mathematical uncertainty inherent in the measurement of boundaries that are irregular. [6] The prevailing method of estimating the length of a border (or coastline) was to lay out n equal straight-line segments of length l with dividers on a map or aerial photograph. Each end of the ...

  8. Bengaluru geography and environment - Wikipedia

    en.wikipedia.org/wiki/Bengaluru_geography_and...

    The slopes of the Nandi Hills, located 60 km north of Bangalore.. Bangalore has two unique Topography terrains—North Bangalore taluk and the South Bangalore taluk. The North Bangalore taluk is a relatively more level plateau and lies between an average of 839 to 962 meters above sea level.

  9. List of countries and dependencies by area - Wikipedia

    en.wikipedia.org/wiki/List_of_countries_and...

    Dymaxion map of the world with the 30 largest countries and territories by area. This is a list of the world's countries and their dependencies, ranked by total area, including land and water. This list includes entries that are not limited to those in the ISO 3166-1 standard, which covers sovereign states and dependent territories.

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