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  2. Naismith's rule - Wikipedia

    en.wikipedia.org/wiki/Naismith's_rule

    That is, 7.92 units of distance are equivalent to 1 unit of climb. For convenience an 8 to 1 rule can be used. So, for example, if a route is 20 kilometres (12 mi) with 1600 metres of climb (as is the case on leg 1 of the Bob Graham Round , Keswick to Threlkeld), the equivalent flat distance of this route is 20+(1.6×8)=32.8 kilometres (20.4 mi).

  3. Grade (slope) - Wikipedia

    en.wikipedia.org/wiki/Grade_(slope)

    as a ratio of many parts run to one part rise, which is the inverse of the previous expression (depending on the country and the industry standards). For example, "slopes are expressed as ratios such as 4:1. This means that for every 4 units (feet or metres) of horizontal distance there is a 1 unit (foot or metre) vertical change either up or ...

  4. Rhumb line - Wikipedia

    en.wikipedia.org/wiki/Rhumb_line

    At 20 degrees north the great circle distance is 9,254 km (4,997 nmi) while the rhumb line distance is 9,397 km (5,074 nmi), about 1.5% further. But at 60 degrees north the great circle distance is 4,602 km (2,485 nmi) while the rhumb line is 5,000 km (2,700 nmi), a difference of 8.5%.

  5. Mercator projection - Wikipedia

    en.wikipedia.org/wiki/Mercator_projection

    Converting ruler distance on the Mercator map into true (great circle) distance on the sphere is straightforward along the equator but nowhere else. One problem is the variation of scale with latitude, and another is that straight lines on the map ( rhumb lines ), other than the meridians or the equator, do not correspond to great circles.

  6. 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 ...

  7. Great-circle navigation - Wikipedia

    en.wikipedia.org/wiki/Great-circle_navigation

    The distance along the great circle will then be s 12 = Rσ 12, where R is the assumed radius of the Earth and σ 12 is expressed in radians. Using the mean Earth radius, R = R 1 ≈ 6,371 km (3,959 mi) yields results for the distance s 12 which are within 1% of the geodesic length for the WGS84 ellipsoid; see Geodesics on an ellipsoid for details.

  8. Cumulative elevation gain - Wikipedia

    en.wikipedia.org/wiki/Cumulative_elevation_gain

    The seven peaks of the 'Fitz Roy traverse is one of the hardest mountain traverses with a CAG of circa 4,000 metres (13,000 ft) In cycling, hiking, mountaineering and running, the term cumulative elevation gain (or cumulative gain) is the total of every gain in elevation made throughout a journey.

  9. Azimuthal equidistant projection - Wikipedia

    en.wikipedia.org/wiki/Azimuthal_equidistant...

    With the circumference of the Earth being approximately 40,000 km (24,855 mi), the maximum distance that can be displayed on an azimuthal equidistant projection map is half the circumference, or about 20,000 km (12,427 mi). For distances less than 10,000 km (6,214 mi) distortions are minimal.

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