James T. Smith
The Legacy of Mario Pieri in Geometry and Arithmetic
Chapter 3
Pieri's Point-and-Sphere Memoir
Contents and hyperlinks
Chapter introduction and Pieri's preface
comments
First page illustration
§1 Point and Sphere …
§2 Orthogonality …
§3 Points Internal or External to a Sphere …
§4 Theorems on Rotations …
§5 Relations 'Smaller Than' and 'Larger Than' …
§6 Parallelism …
§7 Products of Isometries …
§8 Ordering and Senses …
3.9 Appendix
3.10 Historical and Critical Remarks
Hilbert illustration page
Veblen illustration page
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08/27/07