Geometry: The Line and the Circle

Geometry: The Line and the Circle
Title Geometry: The Line and the Circle PDF eBook
Author Maureen T. Carroll
Publisher American Mathematical Soc.
Total Pages 480
Release 2018-12-20
Genre Geometry
ISBN 1470448432

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Geometry: The Line and the Circle is an undergraduate text with a strong narrative that is written at the appropriate level of rigor for an upper-level survey or axiomatic course in geometry. Starting with Euclid's Elements, the book connects topics in Euclidean and non-Euclidean geometry in an intentional and meaningful way, with historical context. The line and the circle are the principal characters driving the narrative. In every geometry considered—which include spherical, hyperbolic, and taxicab, as well as finite affine and projective geometries—these two objects are analyzed and highlighted. Along the way, the reader contemplates fundamental questions such as: What is a straight line? What does parallel mean? What is distance? What is area? There is a strong focus on axiomatic structures throughout the text. While Euclid is a constant inspiration and the Elements is repeatedly revisited with substantial coverage of Books I, II, III, IV, and VI, non-Euclidean geometries are introduced very early to give the reader perspective on questions of axiomatics. Rounding out the thorough coverage of axiomatics are concluding chapters on transformations and constructibility. The book is compulsively readable with great attention paid to the historical narrative and hundreds of attractive problems.

Analytical Geometry (the Straight Line and Circle).

Analytical Geometry (the Straight Line and Circle).
Title Analytical Geometry (the Straight Line and Circle). PDF eBook
Author Arthur Le Sueur
Publisher
Total Pages 120
Release 1886
Genre Circle
ISBN

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The Circle and Straight Line

The Circle and Straight Line
Title The Circle and Straight Line PDF eBook
Author John Harris
Publisher
Total Pages 296
Release 1875
Genre Circle-squaring
ISBN

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The Circle and Straight Line

The Circle and Straight Line
Title The Circle and Straight Line PDF eBook
Author John Harris
Publisher
Total Pages 294
Release 1875
Genre Circle-squaring
ISBN

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The Straight Line and Circle

The Straight Line and Circle
Title The Straight Line and Circle PDF eBook
Author Andrew B. Cameron
Publisher Hodder Gibson
Total Pages 208
Release 1937
Genre Geometry
ISBN 9780716969129

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Modern Geometry

Modern Geometry
Title Modern Geometry PDF eBook
Author Clement Vavasor Durell
Publisher
Total Pages 168
Release 1920
Genre Geometry, Modern
ISBN

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An Inductive Manual of the Straight Line and the Circle

An Inductive Manual of the Straight Line and the Circle
Title An Inductive Manual of the Straight Line and the Circle PDF eBook
Author William John Meyers
Publisher
Total Pages 133
Release 1894
Genre Geometry
ISBN

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