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.
Pages 502
Release 2018-12-20
Genre Mathematics
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.

Modern Geometry

Modern Geometry
Title Modern Geometry PDF eBook
Author Clement Vavasor Durell
Publisher
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
Pages 133
Release 1894
Genre Geometry
ISBN

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Three Lines in a Circle

Three Lines in a Circle
Title Three Lines in a Circle PDF eBook
Author Michael G. Long
Publisher Presbyterian Publishing Corp
Pages 0
Release 2021-08-31
Genre Juvenile Fiction
ISBN 1646981960

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One line straight down. One line to the right. One line to the left, then a circle. That was all—just three lines in a circle. This bold picture book tells the story of the peace symbol—designed in 1958 by a London activist protesting nuclear weapons—and how it inspired people all over the world. Depicting the symbol's travels from peace marches and liberation movements to the end of apartheid and the fall of the Berlin Wall, Three Lines in a Circle offers a message of inspiration to today's children and adults who are working to create social change. An author’s note provides historical background and a time line of late twentieth-century peace movements.

A Treatise on the Circle and the Sphere

A Treatise on the Circle and the Sphere
Title A Treatise on the Circle and the Sphere PDF eBook
Author Julian Lowell Coolidge
Publisher
Pages 603
Release 1916
Genre Circle
ISBN

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Elementary Geometry from an Advanced Standpoint

Elementary Geometry from an Advanced Standpoint
Title Elementary Geometry from an Advanced Standpoint PDF eBook
Author Edwin E. Moise
Publisher Addison Wesley
Pages 520
Release 1990
Genre Business & Economics
ISBN

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Students can rely on Moise's clear and thorough presentation of basic geometry theorems. The author assumes that students have no previous knowledge of the subject and presents the basics of geometry from the ground up. This comprehensive approach gives instructors flexibility in teaching. For example, an advanced class may progress rapidly through Chapters 1-7 and devote most of its time to the material presented in Chapters 8, 10, 14, 19, and 20. Similarly, a less advanced class may go carefully through Chapters 1-7, and omit some of the more difficult chapters, such as 20 and 24.

The Sight-Size Cast

The Sight-Size Cast
Title The Sight-Size Cast PDF eBook
Author Darren Rousar
Publisher Velatura Press, LLC
Pages 320
Release 2018-10-03
Genre Art
ISBN 9780980045482

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Within The Sight-Size Cast is everything you ever wanted to know about Sight-Size cast drawing and painting, impressionistic seeing, and the ways in which many of the ateliers that stem from R. H. Ives Gammell and Richard Lack teach their students. You can learn how to see through Sight-Size with Darren Rousar's book, The Sight-Size Cast.