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  2. Vincenty's formulae - Wikipedia

    en.wikipedia.org/wiki/Vincenty's_formulae

    Vincenty Inverse (distance between points) Calculators from the U.S. National Geodetic Survey : Online and downloadable PC-executable calculation utilities , including forward (direct) and inverse problems, in both two and three dimensions (accessed 2011-08-01).

  3. Geodesics on an ellipsoid - Wikipedia

    en.wikipedia.org/wiki/Geodesics_on_an_ellipsoid

    The geodesic distance between opposite umbilical points is the same regardless of the initial direction of the geodesic. Whereas the closed geodesics on the ellipses X = 0 and Z = 0 are stable (a geodesic initially close to and nearly parallel to the ellipse remains close to the ellipse), the closed geodesic on the ellipse Y = 0 , which goes ...

  4. 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 ...

  5. Earth section paths - Wikipedia

    en.wikipedia.org/wiki/Earth_section_paths

    The inverse problem for earth sections is: given two points, and on the surface of the reference ellipsoid, find the length, , of the short arc of a spheroid section from to and also find the departure and arrival azimuths (angle from true north) of that curve, and . The figure to the right illustrates the notation used here.

  6. Geodesic - Wikipedia

    en.wikipedia.org/wiki/Geodesic

    The term also has meaning in any differentiable manifold with a connection. It is a generalization of the notion of a "straight line". The noun geodesic and the adjective geodetic come from geodesy, the science of measuring the size and shape of Earth, though many of the underlying principles can be applied to any ellipsoidal geometry.

  7. Tobler's first law of geography - Wikipedia

    en.wikipedia.org/wiki/Tobler's_first_law_of...

    Waldo Tobler in front of the Newberry Library. Chicago, November 2007. The First Law of Geography, according to Waldo Tobler, is "everything is related to everything else, but near things are more related than distant things." [1] This first law is the foundation of the fundamental concepts of spatial dependence and spatial autocorrelation and is utilized specifically for the inverse distance ...

  8. This means that dueling is still legal according the Texas penal code. The law states that any two individuals who feel the need to fight can agree to mutual combat through a signed, verbal or ...

  9. Helmert transformation - Wikipedia

    en.wikipedia.org/wiki/Helmert_transformation

    Convert from geodetic coordinates to geocentric coordinates: Calculation of x, y and z relative to the reference ellipsoid of surveying; 7-parameter transformation (where x, y and z almost always change by a few hundred metres at most, and distances by a few mm per km).