Charles Julien Brianchon

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Charles Julien Brianchon (born December 19, 1783 in Sèvres , † April 29, 1864 in Versailles ) was a French mathematician .

Brianchon studied at the École polytechnique in Paris . In 1808 he became a lieutenant in the artillery. After a time in Napoleon's army in Italy, Spain and Portugal, he became a professor at the Artillery School of the Royal Guard in Vincennes in 1818 .

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In 1818 his book Application de la Theory des transversales was published , in which he summarized the purely linear parts of plane Euclidean geometry (without circular constructions). In 1810 he published an article in the Journal of the École Polytechnique, in which proofs in planar geometry are simplified by projecting spatial configurations onto the plane.

Brianchon is known through Brianchon's theorem , a classical theorem of plane geometry , the dual version of Pascal's theorem (dual = points and lines are swapped).

Brianchon published the sentence in 1806 in the Journal der École Polytechnique, but was not clear about the duality to Pascal's sentence. But it served as a prime example and motivation for the duality principle in projective geometry that was later developed by Jean-Victor Poncelet and others.

The crater Brianchon is named after him.

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