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Geometry Through History: Euclidean, Hyperbolic, and Projective Geometries

the problems in Euclidean geometry that lead to their work. Students cultivate skills applicable to much of modern mathematics through;

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Geometries and Transformations

Euclidean and other geometries are distinguished by the transformations that preserve their essential properties. Using linear algebra and;

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Euclidean and Non Euclidean Geometries

This is the definitive presentation of the history, development and philosophical significance of non-Euclidean geometry as well as of the;

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Introduction to Classical Geometries

approach introduces in turn all the classical geometries: Euclidean, affine, elliptic, projective and hyperbolic. The main focus is on the;

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Introduction to Non-Euclidean Geometry

geometry and trigonometry, and the consistency of the non-Euclidean geometries. Extensive appendixes offer background information on the foundation;

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Introduction to Projective Geometry

geometry. Subsequent chapters explore Euclidean and non-Euclidean geometry as specializations of the projective plane, revealing the existence;

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The "Golden" Non-Euclidean Geometry

This unique book overturns our ideas about non-Euclidean geometry and the fine-structure constant, and attempts to solve long-standing;

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Classical Geometries in Modern Contexts

dimension greater than or equal to 2. It characterizes both euclidean and hyperbolic geometry with respect to natural properties of (general;

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Geometry

narrative. In every geometry considered--which include spherical, hyperbolic, and taxicab, as well as finite affine and projective geometries--these;

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Geometry

This textbook demonstrates the excitement and beauty of geometry. The approach is that of Klein in his Erlangen program: a geometry is a;

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Barycentric Calculus In Euclidean And Hyperbolic Geometry

, barycentric calculus provides excellent insight into triangle centers. This unique book on barycentric calculus in Euclidean and hyperbolic geometry;

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College Geometry

, elliptic, and hyperbolic geometry, showing how geometry has real and far-reaching implications. He approaches every topic as a fresh, new concept;

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Clifford Algebras

. The author applies this theory and the developed methods to the homogeneous Clifford algebra model corresponding to Euclidean geometry;

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Geometry and Topology

, including spherical and hyperbolic geometry, and then on to affine and projective linear geometries. Group theory is introduced to treat geometric;

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Crocheting Adventures with Hyperbolic Planes

, tactile introduction to non-Euclidean geometries also covers early development of geometry and connections between geometry, art, nature, and;

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Crocheting Adventures with Hyperbolic Planes

, tactile introduction to non-Euclidean geometries also covers early development of geometry and connections between geometry, art, nature, and;

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An Introduction to Geometric Reasoning in Four Settings

plane in Hyperbolic Geometry. As a key difference of the non-Euclidean Geometries with Euclidean Geometry and with each other, there are no;

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Euclidean and Non-Euclidean Geometry

This book gives a rigorous treatment of the fundamentals of plane geometry: Euclidean, spherical, elliptical and hyperbolic. The primary;

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Hyperbolic Triangle Centers

After A. Ungar had introduced vector algebra and Cartesian coordinates into hyperbolic geometry in his earlier books, along with novel;

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Classical Geometry

and reader-friendly, Classical Geometry: Euclidean, Transformational, Inversive, and Projective and the companion Student Solutions Manual;

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Perspectives on Projective Geometry

common foundation of many other geometric disciplines like Euclidean geometry, hyperbolic and elliptic geometry or even relativistic space-time;

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The Universe of Quadrics

and analytic methods to derive projective, affine, and metrical properties, covering both Euclidean and non-Euclidean geometries. While the;

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Classical Geometry

reader-friendly, Classical Geometry: Euclidean, Transformational, Inversive, and Projective introduces readers to a valuable discipline that;

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Analytic Hyperbolic Geometry

This is the first book on analytic hyperbolic geometry, fully analogous to analytic Euclidean geometry. Analytic hyperbolic geometry;

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Worlds Out of Nothing

19th Century. Topics covered in the first part of the book are projective geometry, especially the concept of duality, and non-Euclidean;

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Elementary Geometry

authors then treat spherical and hyperbolic geometries, with special emphasis on their basic geometric properties.;

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Foundations of Geometry

dimensions, plane hyperbolic geometry, and a Euclidean model of the hyperbolic plane. Detailed definitions, corollaries, theorems, and postulates are;

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