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picture1_Geometry Pdf 167328 | Projective Geometry


picture2_Geometry Pdf 167328 | Projective Geometry picture3_Geometry Pdf 167328 | Projective Geometry

 94x       Filetype PDF       File size 0.21 MB       Source: web.physics.ucsb.edu


File: Geometry Pdf 167328 | Projective Geometry
Projective Geometry David Grabovsky December 4, 2018 Abstract In this talk we discuss the nature, construction, and transformations of projective spaces. We will also discuss an important duality between points ...

icon picture PDF Filetype PDF | Posted on 25 Jan 2023 | 2 years ago
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...Projective geometry david grabovsky december abstract in this talk we discuss the nature construction and transformations of spaces will also an important duality between points lines con clude by showing that several classical geometries are embedded as subgeometries plane contents what space is coordinates all euclidean hyperbolic elliptic whatprojectivespaceis imagine a camera sitting at origin r looks out onto crowd people front obscure s view those back resulting photo shows only projection along sight other words each line becomes point photograph through manifests on screen picture model rp which dene sense klein whose passing planes one shortfall physical cameras they project rays instead cannot see behind itself but mathematical can such would be obscured rst row entire collapsed to single so whole sphere worth viewing angles oers us half every identied with its antipode mathematically say consists set dimensional subspaces or it mod where any notation suggests rpn exist let b...
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