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

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First page illustration

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§1 Point and Sphere

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§2 Orthogonality

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§3 Points Internal or External to a Sphere

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§4 Theorems on Rotations

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§5 Relations 'Smaller Than' and 'Larger Than'

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§6 Parallelism

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§7 Products of Isometries

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§8 Ordering and Senses

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3.9 Appendix

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3.10 Historical and Critical Remarks

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Hilbert illustration page

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Veblen illustration page

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08/27/07