This is the definitive presentation of the history, development and philosophical significance of non-Euclidean geometry as well as of the rigorous foundations for it and for elementary Euclidean geometry, essentially according to Hilbert.

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Euclidean and non-euclidean geometries : development and history / Marvin Jay Greenberg

E-MAIL: gardnerr etsu. These are the notes we will cover in class, and all homework problems can be solved using only the information in the notes. We will cover three main topics: Euclidean geometry, hyperbolic geometry, and elliptic geometry. This is our main reference. This was my 10th grade high school geometry book. I've had a fascination with geometry since my first exposure in 10th grade

Euclidean and Non-Euclidean Geometries

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Sapling can only be accessed if your instructor has set up a course at your University. Please only buy this code if your instructor has an active Sapling course. This product should only be purchased by International students at University of Illinois. Marvin J. Recommend to library. Paperback - Ebook -

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Euclidean and non-Euclidean geometries : development and history

In mathematics , non-Euclidean geometry consists of two geometries based on axioms closely related to those that specify Euclidean geometry. As Euclidean geometry lies at the intersection of metric geometry and affine geometry , non-Euclidean geometry arises by either relaxing the metric requirement, or replacing the parallel postulate with an alternative. In the latter case one obtains hyperbolic geometry and elliptic geometry , the traditional non-Euclidean geometries.

Euclidean and non-Euclidean geometries: development and history I. Marvin Jay Greenberg. - 3rd ed. p. em. Includes bibliographical references and indexes.

This textbook introduces non-Euclidean geometry, and the third edition adds a new chapter, including a description of the two families of 'mid-lines' between two given lines and an elementary derivation of the basic formulae of spherical trigonometry and hyperbolic trigonometry, and other new material.

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Euclidean and non-Euclidean geometries: development and history I. Marvin Jay Greenberg. - 3rd ed. p. em. Includes bibliographical references and indexes.

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This textbook introduces non-Euclidean geometry, and the third edition adds a new chapter, including a description of the two families of 'mid-lines' between two given lines and an elementary derivation of the basic formulae of spherical trigonometry and hyperbolic trigonometry, and other new material.

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