Lobachevski illuminated.

Format:

• Book

Author/Creator:

• Braver, Seth.

Series:

• Spectrum series
• Spectrum Series

Language:

English

Subjects (All):

• Lobachevskiĭ, N. I. (Nikolaĭ Ivanovich), 1792-1856.
• Geometry, Non-Euclidean.
• Parallels (Geometry).

Physical Description:

xx, 227 pages : illustrations ; 26cm.

Place of Publication:

Washington : Mathematical Assn America, 2011.

Contents:

• Lobachevski's introduction
• Preliminary Theorems (1-15)
• Theory of Parallels 16: The definition of parallelism
• Theory of Parallels 17: Parallelism is well-defined
• Theory of Parallels 18: Parallelism is symmetric
• Theory of Parallels 19: The Saccheri-Legendre Theorem
• Theory of Parallels 20: The Three Musketeers Theorem
• Theory of Parallels 21: A little Lemma
• Theory of Parallels 22: Common perpendiculars
• Theory of Parallels 23: The π-function
• Theory of Parallels 24: Convergence of parallels
• Theory of Parallels 25: Parallelism is transitive
• Theory of Parallels 26: Spherical triangles
• Theory of Parallels 27: Solid angles
• Theory of Parallels 28: The prism theorem
• Theory of Parallels 29: Circumcircles or lack thereof (Part I)
• Theory of Parallels 30: Circumcircles or lack thereof (Part II)
• Theory of Parallels 31: The horocycle defined
• Theory of Parallels 32: The horocycle as a limit-circle
• Theory of Parallels 33: Concentric horocycles
• Theory of Parallels 34: The horosphere
• Theory of Parallels 35: Spherical trigonometry
• Theory of Parallels 36: The fundamental formula
• Theory of Parallels 37: Plane trigonometry
• Appendix: Nicolai Ivanovich Lobachevski's "Theory of Parallels".

Notes:

Includes bibliographical references (pages 197-198) and index.

ISBN:

• 0883855739
• 9780883855737

OCLC:

696296739