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Dual and Projective Geometry 2 Jamie Seol
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Duality and Projective Geometry 2

Jun 28, 2015

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Simple explanations about projective geometry and duality. Part 2
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Page 1: Duality and Projective Geometry 2

Dual andProjective

Geometry 2Jamie Seol

Page 2: Duality and Projective Geometry 2

Dual

Involution -

Page 3: Duality and Projective Geometry 2

Projective Geometry

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So far

• Dual• Projective Geometry• Dual in PG• Enigmatic Solutions using Dual in PG

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Dual in PG?

Dual Space!

Page 6: Duality and Projective Geometry 2
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neglect

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?

?

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?

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?

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Dual Graph

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G Euler = D(G) bipartiteG Euler = No odd

D(G) bipartite = No odd cycle

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Menelaus, Ceva

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Desargues’ Theorem

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Pascal’s Theorem

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Brianchon’s Theorem