Duality and Projective Geometry 2
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Dual and Projective Geometry 2 Jamie Seol
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Simple explanations about projective geometry and duality. Part 2
Transcript of Duality and Projective Geometry 2
Dual andProjective
Geometry 2Jamie Seol
Dual
Involution -
Projective Geometry
So far
• Dual• Projective Geometry• Dual in PG• Enigmatic Solutions using Dual in PG
Dual in PG?
Dual Space!
neglect
?
?
?
?
Dual Graph
G Euler = D(G) bipartiteG Euler = No odd
D(G) bipartite = No odd cycle
Menelaus, Ceva
Desargues’ Theorem
Pascal’s Theorem
Brianchon’s Theorem