James T. Smith

 

The Legacy of Mario Pieri

 in Foundations and Philosophy of Mathematics

 

Chapter 6

Pieri's Geometry of Position Memoir

 

 

Hyperlinks

 

    page  
6.0 Chapter Introduction and Pieri's Introduction 136 comments
6.1 §1 The Primitive Entities 147 comments
6.2 §2 The Alignment Relation and the Projective Line 153 comments
6.3 §3 The Visual of a Form and Projective Planes 156 comments
6.4 §4 The Plane Quadrangle and the Harmonic Relationship 163 comments
6.5 §5 The Projective Segment 168 comments
6.6 §6  Further Properties of Segments 175 comments
6.7 §7  Natural Orderings and Senses of a Projective Line  180 comments
6.8 §8  The Projective Triangle  187 comments
6.9 §9  Segmental Transformations 194 comments
6.10 §10  Harmonic Correspondences and Staudt's Theorem  206 comments
6.11 §11  Projective Hyperplanes of the Third Species and Ordinary Space 211 comments
6.12 §12  Projective Hyperplanes of the  nth  Species and Absolute Projective Space   216 comments
6.13 Appendix 220 comments
  total 87  

 

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