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Tissot's indicatrix

Tissot's indicatrix

Characterization of distortion in map projections

Photo: Stefan Kühn · Commons · CC BY-SA 3.0 · Cropped & Resized

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In cartography, a Tissot's indicatrix is a mathematical contrivance presented by French mathematician Nicolas Auguste Tissot in 1859 and 1871 to characterize local distortions due to map projection. It is the geometry that results from projecting a circle of infinitesimal radius from a curved geometric model, such as a globe, onto a map. Tissot proved that the resulting diagram is an ellipse whose axes indicate the two principal directions along which scale is maximal and minimal at that point on the map.

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Image: Stefan Kühn, CC BY-SA 3.0 · Text from Wikipedia, CC BY-SA 4.0