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  2. 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 ...

  3. Earth's circumference - Wikipedia

    en.wikipedia.org/wiki/Earth's_circumference

    Geodesy. Earth's circumference is the distance around Earth. Measured around the equator, it is 40,075.017 km (24,901.461 mi). Measured passing through the poles, the circumference is 40,007.863 km (24,859.734 mi). [1] Measurement of Earth's circumference has been important to navigation since ancient times. The first known scientific ...

  4. Mercator projection - Wikipedia

    en.wikipedia.org/wiki/Mercator_projection

    True distance = rhumb distance ≅ ruler distance × cos φ / RF. (short lines) (short lines) With radius and great circle circumference equal to 6,371 km and 40,030 km respectively an RF of ⁠ 1 / 300M ⁠ , for which R = 2.12 cm and W = 13.34 cm, implies that a ruler measurement of 3 mm. in any direction from a point on the equator ...

  5. Figure of the Earth - Wikipedia

    en.wikipedia.org/wiki/Figure_of_the_Earth

    The Earth's radius is the distance from Earth's center to its surface, about 6,371 km (3,959 mi). While "radius" normally is a characteristic of perfect spheres, the Earth deviates from spherical by only a third of a percent, sufficiently close to treat it as a sphere in many contexts and justifying the term "the radius of the Earth".

  6. Geometry - Wikipedia

    en.wikipedia.org/wiki/Geometry

    Mathematics. 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] Geometry is, along with arithmetic, one ...

  7. Earth mover's distance - Wikipedia

    en.wikipedia.org/wiki/Earth_mover's_distance

    Earth mover's distance. In computer science, the earth mover's distance (EMD) [ 1 ] is a measure of dissimilarity between two frequency distributions, densities, or measures, over a metric space D. Informally, if the distributions are interpreted as two different ways of piling up earth (dirt) over D, the EMD captures the minimum cost of ...

  8. Map projection - Wikipedia

    en.wikipedia.org/wiki/Map_projection

    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.

  9. On the Sizes and Distances (Aristarchus) - Wikipedia

    en.wikipedia.org/wiki/On_the_Sizes_and_Distances...

    Eratosthenes (c. 276 – c. 194/195 BC), a Greek mathematician who calculated the circumference of the Earth and also the distance from the Earth to the Sun. Hipparchus (c. 190 – c. 120 BC), a Greek mathematician who measured the radii of the Sun and the Moon as well as their distances from the Earth. On the Sizes and Distances