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The Behrmann projection with Tissot's indicatrices The Mercator projection with Tissot's indicatrices. In cartography, a Tissot's indicatrix (Tissot indicatrix, Tissot's ellipse, Tissot ellipse, ellipse of distortion) (plural: "Tissot's indicatrices") is a mathematical contrivance presented by French mathematician Nicolas Auguste Tissot in 1859 and 1871 in order to characterize local ...
In the book, Tissot argued for his method, reportedly demonstrating that "whatever the system of transformation, there is at each point on the spherical surface at least one pair of orthogonal directions which will also be orthogonal on the projection." [5] Tissot employed a graphical device he called the ellipse indicatrice or distortion ...
The formulas for the spherical orthographic projection are derived using trigonometry.They are written in terms of longitude (λ) and latitude (φ) on the sphere.Define the radius of the sphere R and the center point (and origin) of the projection (λ 0, φ 0).
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Short title: Stereographic map of the world – coastlines, graticule, and indicatrices: Image title: A map of the world, showing all landmasses with 10° graticule and Tissot's indicatrices of diameter 1,000 km and spacing 30°.
English: The world on a Bonne projection, with 10° graticule and Tissot's indicatrices overlaid. Each red circle is 1 000 km in diameter. Coastline data from www.naturalearthdata.com. Colors inspired by Eric Gaba.
You are free: to share – to copy, distribute and transmit the work; to remix – to adapt the work; Under the following conditions: attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made.