Dandelin Cone
Biography of Germinal Dandelin
- Born on April 12,1794 in Le Bourget, France
- Studied at Ghent, then in 1813 he entered the Ecole Polytechnique in Paris
- A mathematician whose career was very much influenced by the political upheavals of his time
- Began his military career in 1813 when he volunteered to fight the British
- Wounded in action in both 1814 and 1815
- During Napoleon's 100's days back in control of France, he worked under the command of another mathematician
- He worked on geometry and has an important theorem on the intersection of a cone and its inscribed sphere with a plane, discovered in 1822, named after him
- He also worked on stenographic projection, static, algebra and probability
- After the war, he returned to Belgium and continued his military career as an engineer
- In 1825, he was elected to the Royal Academy of Sciences in Brussels and for the next five years, he was a professor of mining engineering.
- Died on February 15, 1847 in Brussels, Belgium
What is Dandelin Cone?
Dandelin Cone is the theorem that Germinal Dandelin discovered in 1822 and named after
him. The theorem shows that if a cone is intersected by a plane in a conic, then the foci of the
conic are the points where this plane is touched by the spheres inscribed in the cone. In 1826, he
generalized his theorem to a hyperboloid of revolution, rather a cone, relating Pascal's hexagon,
Brianchon's hexagon and the hexagon formed by the generators of the hyperboloid.
What is Pascal's Theorem?
Pascal's famous Mystic Hexagram Theorem states that if an arbitrary hexagon is inscribed
in a conic, then the interesection points of the three pairs of the hexagon opposite sides are
collinear, and conversely.
What is Brianchon's Theorem?
Brianchon's Theorem states that In a hexaon circumscribing a conic section, the three
opposite diagonals all intersect in a single point.
Created by: Aaron Yuen
Created for: Mrs. McDougall