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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).
Winkel tripel projection of the world, 15° graticule The Winkel tripel projection with Tissot's indicatrix of deformation The Winkel tripel projection (Winkel III), a modified azimuthal [1] map projection of the world, is one of three projections proposed by German cartographer Oswald Winkel (7 January 1874 – 18 July 1953) in 1921.
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English: Map of the world in a Behrmann cylindrical equal-area projection with Tissot's Indicatrices of deformation. Each red ellipse has a radius of 500 km. Français : Carte du monde suivant une projection cylindrique équivalente de Behrmann avec indicatrices de déformation de Tissot .
Short title: Orthographic 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°.
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