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Review article

Universal Hyperbolic Geometry II: A pictorial overview

Norman John Wildberger   ORCID icon orcid.org/0000-0003-3503-6495 ; School of Mathematics and Statistics, Sydney, Australia

Fulltext: english, pdf (421 KB) pages 3-24 downloads: 2.337* cite
APA 6th Edition
Wildberger, N.J. (2010). Universal Hyperbolic Geometry II: A pictorial overview. KoG, 14. (14.), 3-24. Retrieved from https://hrcak.srce.hr/62860
MLA 8th Edition
Wildberger, Norman John. "Universal Hyperbolic Geometry II: A pictorial overview." KoG, vol. 14., no. 14., 2010, pp. 3-24. https://hrcak.srce.hr/62860. Accessed 27 Nov. 2021.
Chicago 17th Edition
Wildberger, Norman John. "Universal Hyperbolic Geometry II: A pictorial overview." KoG 14., no. 14. (2010): 3-24. https://hrcak.srce.hr/62860
Harvard
Wildberger, N.J. (2010). 'Universal Hyperbolic Geometry II: A pictorial overview', KoG, 14.(14.), pp. 3-24. Available at: https://hrcak.srce.hr/62860 (Accessed 27 November 2021)
Vancouver
Wildberger NJ. Universal Hyperbolic Geometry II: A pictorial overview. KoG [Internet]. 2010 [cited 2021 November 27];14.(14.):3-24. Available from: https://hrcak.srce.hr/62860
IEEE
N.J. Wildberger, "Universal Hyperbolic Geometry II: A pictorial overview", KoG, vol.14., no. 14., pp. 3-24, 2010. [Online]. Available: https://hrcak.srce.hr/62860. [Accessed: 27 November 2021]

Abstracts
This article provides a simple pictorial introduction to universal hyperbolic geometry. We explain how to understand the subject using only elementary projective geometry, augmented by a distinguished circle. This provides a completely algebraic framework for hyperbolic geometry, valid over the rational numbers (and indeed any field not
of characteristic two), and gives us many new and beautiful theorems. These results are accurately illustrated with colour diagrams, and the reader is invited to check them with ruler constructions and measurements.

Keywords
hyperbolic geometry; projective geometry; rational trigonometry; quadrance; spread; quadrea

Hrčak ID: 62860

URI
https://hrcak.srce.hr/62860

[croatian]

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