Geometry The Line And The Circle

Author : Maureen T. Carroll
Publisher : American Mathematical Soc.
ISBN 13 : 1470448432
Total Pages : 480 pages
Book Rating : 4.31/5 ( download)

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Download or read book Geometry: The Line and the Circle written by Maureen T. Carroll and published by American Mathematical Soc.. This book was released on 2018-12-20 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Arthur Le Sueur
Publisher :
ISBN 13 :
Total Pages : 120 pages
Book Rating : 4.56/5 ( download)

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Download or read book Analytical Geometry (the Straight Line and Circle). written by Arthur Le Sueur and published by . This book was released on 1886 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Constantin Mihalescu
Publisher :
ISBN 13 : 9780996874519
Total Pages : 0 pages
Book Rating : 4.18/5 ( download)

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Download or read book The Geometry of Remarkable Elements written by Constantin Mihalescu and published by . This book was released on 2016 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an English translation of a text written by Constantin Mihalescu, a retired artillery colonel and enthusiastic amateur mathematician. With the majority of the results obtained in the second half of the 19th century and the first half of the 20th century, this book was one of the most complete descriptions of geometry of its time. It contains a comprehensive collection of the most important properties of points, lines, and circles related to triangles and quadrilaterals, as they were known by the mid-1950s, and a rich assortment of problems to entice and inspire readers of all levels. Topics covered include the nine-point circle, the Simson line, the orthopolar triangles, the orthopole, the Gergonne and Nagel points, the Miquel point and circle, the Carnot circle, the Brocard points, the Lemoine point and circles, the Newton-Gauss line, and much more.

Author : Julian Lowell Coolidge
Publisher :
ISBN 13 :
Total Pages : 603 pages
Book Rating : 4.01/5 ( download)

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Download or read book A Treatise on the Circle and the Sphere written by Julian Lowell Coolidge and published by . This book was released on 1916 with total page 603 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Alfred S. Posamentier
Publisher : Prometheus Books
ISBN 13 : 1633881687
Total Pages : 351 pages
Book Rating : 4.86/5 ( download)

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Download or read book The Circle written by Alfred S. Posamentier and published by Prometheus Books. This book was released on 2016-08-23 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: The circle has fascinated mathematicians since ancient times. This entertaining book describes in layperson’s terms the many intriguing properties of this fundamental shape. If math has intimidated you, this may be the ideal book to help you appreciate the discipline through one of its most important elements. The authors begin with a brief review of the basic properties of the circle and related figures. They then show the many ways in which the circle manifests itself in the field of geometry—leading to some amazing relationships and truly important geometric theorems. In addition, they explore remarkable circle constructions and demonstrate how all constructions in geometry that usually require an unmarked straightedge and a compass can also be done with the compass alone. Among other things, the reader will learn that circles can generate some unusual curves – many even quite artistic. Finally, the role of circles in art and architecture and a discussion of the circle’s place on the sphere bring "full circle" this presentation of a key element of geometry.

Author : Victor Gutenmacher
Publisher : Springer Science & Business Media
ISBN 13 : 1475738099
Total Pages : 166 pages
Book Rating : 4.94/5 ( download)

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Download or read book Lines and Curves written by Victor Gutenmacher and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: Broad appeal to undergraduate teachers, students, and engineers; Concise descriptions of properties of basic planar curves from different perspectives; useful handbook for software engineers; A special chapter---"Geometry on the Web"---will further enhance the usefulness of this book as an informal tutorial resource.; Good mathematical notation, descriptions of properties of lines and curves, and the illustration of geometric concepts facilitate the design of computer graphics tools and computer animation.; Video game designers, for example, will find a clear discussion and illustration of hard-to-understand trajectory design concepts.; Good supplementary text for geometry courses at the undergraduate and advanced high school levels

Author : John Harris
Publisher :
ISBN 13 :
Total Pages : 250 pages
Book Rating : 4.05/5 ( download)

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Download or read book The Circle and Straight Line written by John Harris and published by . This book was released on 1875 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Clement Vavasor Durell
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.06/5 ( download)

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Download or read book Modern Geometry written by Clement Vavasor Durell and published by . This book was released on 1938 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : William Alexander Willock
Publisher :
ISBN 13 :
Total Pages : 196 pages
Book Rating : 4.77/5 ( download)

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Download or read book The elementary geometry of the right line and circle written by William Alexander Willock and published by . This book was released on 1875 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : William Briggs
Publisher :
ISBN 13 :
Total Pages : 268 pages
Book Rating : 4.67/5 ( download)

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Download or read book The Right Line & Circle (coordinate Geometry) written by William Briggs and published by . This book was released on 1908 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: