James T. Smith


 


The Legacy of Mario Pieri

 in Foundations and Philosophy of Mathematics


 


Chapter 6


Pieri's Geometry of Position Memoir


 


 


Contents and hyperlinks


 



    pages  
6.0 Chapter introduction and Pieri's introduction 13 comments
6.1 §1 The Primitive Entities 7 comments
6.2 §2 The Alignment Relation and the Projective Line 4 comments
6.3 §3 The Visual of a Form and Projective Planes 7 comments
6.4 §4 The Plane Quadrangle and the Harmonic Relationship 6 comments
6.5 §5  The Projective Segment 7 comments
6.6 §6  Further Properties of Segments 4 comments
6.7 §7  Natural Orderings and Senses of a Projective Line  8 comments
6.8 §8  The Projective Triangle  7 comments
6.9 §9  Segmental Transformations 13 comments
6.10 §10  Harmonic Correspondences and Staudt's Theorem  4 comments
6.11 §11  Projective Hyperplanes of the Third Species and Ordinary Space 6 comments
6.12 §12  Projective Hyperplanes of the  nth  Species and Absolute Projective Space    4 comments
6.13 Appendix 3 comments
  total 93