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| Sets of Axioms and Finite Geometries | |
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| Introduction to Geometry | |
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| Development of Modern Geometries | |
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| Introduction to Finite Geometries | |
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| Four-Line and Four-Point Geometries | |
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| Finite Geometries of Fano and Young | |
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| Finite Geometries of Pappus and Desargues | |
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| Other Finite Geometries | |
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| Geometric Transformations Introduction To Transformations | |
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| Groups of Transformations | |
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| Euclidean Motions of the Plane | |
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| Sets of Equations for Motions of the Plane | |
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| Applications of Transformations in Computer Graphics | |
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| Properties of the Group of Euclidean Motions | |
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| Motions and Graphics of Three-Space | |
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| Similarity Transformations | |
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| Introduction to the Geometry of Fractals and Fractal Dimension | |
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| Examples and Applications of Fractals | |
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| Convexity Basic Concepts | |
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| Convex Sets and Supporting Lines | |
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| Convex Bodies in Two-Space | |
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| Convex Bodies in Three-Space | |
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| Convex Hulls | |
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| Width of a Set | |
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| Helly''s Theorem and Applications | |
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| Modern Euclidean Geometry, Theory, And Applications | |
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| Fundamental Concepts and Theorems | |
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| Some Theorems Leading to Modern Synthetic Geometry | |
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| The Nine-Point Circle and Early Nineteenth-Century Synthetic Geometry | |
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| Isogonal Conjugates | |
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| Recent Synthetic Geometry of the Triangle | |
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| Golden Ratio, Tessellations, Packing Problems and Pick''s Theorem | |
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| Extremum Problems, Geometric Probability, Fuzzy Sets, and Bezier Curves | |
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| Constructions | |
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| The Philosophy of Constructions | |
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| Constructible Numbers | |
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| Constructions in Advanced Euclidean Geometry | |
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| Constructions and Impossibility Proofs | |
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| Constructions by Paper Folding and by Use of Computer Software | |
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| Constructions with Only One Instrument | |
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| The Transformation Of Inversion | |
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| Basic Concepts | |
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| Additional Properties and Invariants under Inversion | |
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| The Analytic Geometry of Inversion | |
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| Some Applications of Inversion | |
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| Projective Geometry | |
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| Fundamental Concepts | |
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| Postulational Basis for Projective Geometry | |
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| Duality and Some Consequences | |
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| Harmonic Sets | |
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| Projective Transformations | |
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| Homogenous Coordinates | |
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| Equations for Projective Transformations | |
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| Special Projectivities | |
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| Conics | |
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| Constructions of Conics | |
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| Geometric Introduction To Topological Transformations | |
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| Topological Transformations | |
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| Simple Closed Curves | |
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| Invariant Points and Networks | |
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| Introduction to the Topology of Surfaces | |
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| Euler''s Formula and the Map-Coloring Problem | |
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| Non-Euclidean Geometries | |
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| Foundations of Euclidean and Non-Euclidean Geometries | |
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| Introduction to Hyperbolic Geometry | |
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| Ideal Points and Omega Triangles | |
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| Quadrilaterals and Triangles | |
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| Pairs of Lines and Area of Triangular Regions | |
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| Curves | |
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| Elliptic Geometry | |
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| Consistency; Other Modern Geometries | |
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| Selected Ideas From Logic | |
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| Review Of Euclidean Geometry | |
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| First Twenty-Eight Propositions Of Euclid | |
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| Hilbert''s Axioms | |
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| Birkhoff''s Postulates | |
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| Illustrations Of Basic Euclidean Constructions | |
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| Bibliography | |
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| Answers To Selected Exercises | |
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| Index | |