Hypatia of Alexandria: Mathematician and Martyr Book

Acknowledgments     9
A Note on Spelling Conventions     11
Introduction     13
The Historical Context     19
The Intellectual Background     25
The Religious Background
Christianity     31
Neoplatonism     35
The Doctrine of the Trinity     39
The Sources     43
The Details of Hypatia's Life     49
Hypatia's Work, Attitudes, and Lifestyle     57
Hypatia's Death     67
Hypatia's Philosophy     77
Hypatia's Mathematics
Background and Sources     87
Book III of the Almagest     91
Books IV-XIII of the Almagest     93
Apollonius's Conics     95
The Astronomical Canon     96
The Arithmetic of Diophantus     98
The Astrolabe     102
The "Hydroscope"     104
Other Work     105
Evaluation     107
Mathematical Details
Number Representation and Long Division     115
Conic Sections     118
Diophantine Analysis     119
Stereographic Projection     122
Pandrosion     127
The Legend of Saint Catherine of Alexandria     135
Translations of the Primary Sources
The Suda, Hesychius, and Damascius     137
Socrates Scholaticus     143
John of Nikiu     148
Synesius of Cyrene     150
Miscellaneous     158
Notes     161
Annotated Bibliography     213
Index     221