Washington : Mathematical association of America, c2011.
Descrizione fisica:
XX, 227 p. ; 26 cm
Serie:
Spectrum
Contiene:
Indice: Introduction. Note to the reader. Acknowledgements. 1. Theory of parallels: Lobachevski's introduction 2. Theory of parallels: preliminary theorems (1-15) 3. Theory of parallels 16: the definition of parallelism 4. Theory of parallels 17: parallelism is well-defined 5. Theory of parallels 18: parallelism is symmetric 6. Theory of parallels 19: the Saccheri-Legendre theorem 7. Theory of parallels 20: the Three Musketeers theorem 8. Theory of parallels 21: a little lemma 9. Theory of parallels 22: common perpendiculars 10. Theory of parallels 23: the Pi function 11. Theory of parallels 24: Convergence of parallels 12. Theory of parallels 25: parallelism is transitive 13. Theory of parallels 26: spherical triangles 14. Theory of parallels 27: solid angles 15. Theory of parallels 28: the Prism theorem 16. Theory of parallels 29: circumcircles or lack thereof (part I) 17. Theory of parallels 30: circumcircles or lack thereof (part II) 18. Theory of parallels 31: the horocycle defined 19. Theory of parallels 32: the horocycle as a limit circle 20. Theory of parallels 33: concentric horocycles 21. Theory of parallels 34: the horosphere 22. Theory of parallels 35: spherical trigonometry 23. Theory of parallels 36: the fundamental formula 24. Theory of parallels 37: plane trigonometry. Bibliography. Appendix: Nicolai Ivanovich Lobachevski's Theory of parallels. Index. About the author
