The straight line and circle
Author: George Alexander Gibson
Publisher:
Published: 1924
Total Pages: 220
ISBN-13:
DOWNLOAD EBOOKRead and Download eBook Full
Author: George Alexander Gibson
Publisher:
Published: 1924
Total Pages: 220
ISBN-13:
DOWNLOAD EBOOKAuthor: Maureen T. Carroll
Publisher: American Mathematical Soc.
Published: 2018-12-20
Total Pages: 480
ISBN-13: 1470448432
DOWNLOAD EBOOKGeometry: 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: John Harris
Publisher:
Published: 1875
Total Pages: 296
ISBN-13:
DOWNLOAD EBOOKAuthor: John Harris
Publisher:
Published: 1875
Total Pages: 294
ISBN-13:
DOWNLOAD EBOOKAuthor: Andrew B. Cameron
Publisher: Hodder Gibson
Published: 1937
Total Pages: 208
ISBN-13: 9780716969129
DOWNLOAD EBOOKAuthor: Clement Vavasor Durell
Publisher:
Published: 1920
Total Pages: 168
ISBN-13:
DOWNLOAD EBOOKAuthor: Arthur Le Sueur
Publisher:
Published: 1886
Total Pages: 120
ISBN-13:
DOWNLOAD EBOOKAuthor: Harris, John
Publisher:
Published: 1873
Total Pages:
ISBN-13: 9780665320255
DOWNLOAD EBOOKAuthor: J. H. Filshie
Publisher:
Published: 1937
Total Pages: 0
ISBN-13:
DOWNLOAD EBOOKAuthor: John Harris
Publisher: Legare Street Press
Published: 2023-07-18
Total Pages: 0
ISBN-13: 9781019659236
DOWNLOAD EBOOKThis book explores the concept of geometry by examining the relationship between circles and straight lines. Part 1 delves into the fundamental principles of geometry as it pertains to these two shapes, and provides a strong foundation for further study in this area. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.