Dual and Projective Geometry 2 Jamie Seol

Jun 28, 2015

Simple explanations about projective geometry and duality. Part 2

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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

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