Table of Contents

Introduction I. Pangeometry I. Propositions Depending Only on the Principle of Superposition II. Propositions Which Are True for Restricted Figures III. The Three Hypotheses II. The Hyperbolic Geometry I. Parallel Lines II. Boundary-curves and Surfaces, and Equidistant-curves and Surfaces III. Trigonometrical Formulae III. The Elliptic Geometry IV. Analytic Non-Euclidean Geometry I. Hyperbolic Analytic Geometry II. Elliptic Analytic Geometry III. Elliptic Solid Analytic Geometry Historical Note