Medal Theorem Mathematical Charles Julien Brianchon Mathematician Science

Description: 123- tir85Bronze medal from the Paris Mint (cornucopia hallmark from 1880).Struck in 1973.Beautiful copy.Engraver / Artist / Sculptor : Jacques Despierre .Dimensions : 72 mm .Weight : 174 g.Metal : bronze .Mark on the edge : cornucopia + bronze + 1973.Fast and careful shipping.The stand is not for sale.The stand is not for sale.Brianchon's theorem is stated as follows: The diagonals joining the opposite vertices of a hexagon are concurrent if and only if this hexagon is circumscribed to a conic1:p. 2182This theorem is due to the French mathematician Charles Julien Brianchon (1783-1864).This is exactly the dual of Pascal's theorem. In both cases, these are projective properties of conics, properties that we study without equations, without angles or distances, only with the alignments of points and the intersections of lines.Degenerate casesTritangent conic, degeneration of Brianchon's theorem.As with Pascal's theorem, there are degenerations of Brianchon's theorem: by making two successive tangents coincide, their junction point becomes a point of tangency of the conic. By proceeding in the same way on the two other pairs of successive tangents, an ellipse appears inscribed on the deformed hexagon, which has become a triangle. From a projective point of view, the two triangles P1P3P5 and P2P4P6 rest perspectively on the center B. There is thus a central collinear relationship, which sends one triangle onto the other. This relation is affine only in certain cases: an example is the Steiner ellipse, where the Brianchon point is the center of gravity. This is exactly the dual of Pascal's theorem. In both cases, these are projective properties of conics, properties that we study without equations, without angles or distances, only with the alignments of points and the intersections of lines. As with Pascal's theorem, there are degenerations of Brianchon's theorem: by making two successive tangents coincide, their junction point becomes a point of tangency of the conic. By proceeding in the same way on the two other pairs of successive tangents, an ellipse appears inscribed on the deformed hexagon, which has become a triangle. From a projective point of view, the two triangles P1P3P5 and P2P4P6 rest perspectively on the center B. There is thus a central collinear relationship, which sends one triangle onto the other. This relation is affi

Price: 143.22 USD

Location: Strasbourg

End Time: 2025-01-04T19:30:39.000Z

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