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1. INTRODUCTION. Among the theorems of plane geometry, a privileged position is held by those that are true in neutral geometry, that is, without either assuming or denying the parallel postulate. Such, for example, are the first twenty-eight propositions of Euclid's Elements, including the triangle congruences SAS (I.4), 1 SSS (I.8), ASA (I.26), and the… (More)