Nicolas Auguste Tissot (French: [tiso]; 1824–1897) was a 19th-century French cartographer, who in 1859 and 1881 published an analysis of the distortion that occurs on map projections.
He devised Tissot's indicatrix, or distortion circle, which when plotted on a map will appear as an ellipse whose elongation depends on the amount of distortion by the map at that point.
The angle and extent of the elongation represents the amount of angular distortion of the map.
Lambert had enunciated a mathematical theory of map projections and of the attendant characteristics of distortions that any given projection involved.
Carl Friedrich Gauss had also studied the subject before Tissot's contributions later in the nineteenth century.Tissot's research in the mid-1850s on methods for finding good projections for particular regions led him to develop a projection that he saw as optimal.
While not quite equal-area or conformal, his projection resulted in “negligible distortion for a very small region.” Subsequently, his optimal projection was adopted by the geographic service of the French Army.
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.”Tissot employed a graphical device he called the ellipse indicatrice or distortion circle.
When plotted on a map it reveals the amount of distortion by the map at the particular point where the ellipse is plotted.
He suggested that the angle and extent of the elongation of the distortion circle represented the amount of angular distortion of the map, while the size of the ellipse corresponded to the amount of distortion in area.In a nineteenth-century cartographic context, in which professionals looked for ways to apply mathematical principles to the science of mapping and the map projection, Tissot’s theory was favorably received, at least in continental Europe.
Even in the more restrained Anglo-American academic world, a columnist of Science, a publication sponsored by the American Association for the Advancement of Science, hailed Tissot's method and encouraged his readers to study Tissot’s work in the hope that such a study “will lead to the adoption of better projections than those which are at present in use.” The legacy of Tissot’s method is still vivid today, as suggested by the authors of Map Projections for Europe, who argue that since Tissot’s famous analysis regarding distortion, the only major scientific development in the metric interpretation of deformation has been Eduard Imhof's Verzerrungsgitter, or deformation grid.