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Lobachevski Illuminated

Author: Seth Braver
Publisher: Cambridge : Cambridge University Press, 2011.
Series: Spectrum
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
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Genre/Form: Electronic books
Named Person: N I Lobachevskiĭ; Nikolaĭ Ivanovich Lobachevskiĭ; N I Lobachevskiĭ
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Seth Braver
ISBN: 9780883859797 0883859793
OCLC Number: 775429137
Notes: Title from publishers bibliographic system (viewed on 30 Jan 2012).
Description: 1 online resource.
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 [pi]-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."
Series Title: Spectrum
Responsibility: Seth Braver.

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