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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

Puni tekst: engleski, pdf (421 KB) str. 3-24 preuzimanja: 2.354* citiraj
APA 6th Edition
Wildberger, N.J. (2010). Universal Hyperbolic Geometry II: A pictorial overview. KoG, 14. (14.), 3-24. Preuzeto s https://hrcak.srce.hr/62860
MLA 8th Edition
Wildberger, Norman John. "Universal Hyperbolic Geometry II: A pictorial overview." KoG, vol. 14., br. 14., 2010, str. 3-24. https://hrcak.srce.hr/62860. Citirano 05.12.2021.
Chicago 17th Edition
Wildberger, Norman John. "Universal Hyperbolic Geometry II: A pictorial overview." KoG 14., br. 14. (2010): 3-24. https://hrcak.srce.hr/62860
Harvard
Wildberger, N.J. (2010). 'Universal Hyperbolic Geometry II: A pictorial overview', KoG, 14.(14.), str. 3-24. Preuzeto s: https://hrcak.srce.hr/62860 (Datum pristupa: 05.12.2021.)
Vancouver
Wildberger NJ. Universal Hyperbolic Geometry II: A pictorial overview. KoG [Internet]. 2010 [pristupljeno 05.12.2021.];14.(14.):3-24. Dostupno na: https://hrcak.srce.hr/62860
IEEE
N.J. Wildberger, "Universal Hyperbolic Geometry II: A pictorial overview", KoG, vol.14., br. 14., str. 3-24, 2010. [Online]. Dostupno na: https://hrcak.srce.hr/62860. [Citirano: 05.12.2021.]

Sažetak
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.

Ključne riječi
hyperbolic geometry; projective geometry; rational trigonometry; quadrance; spread; quadrea

Hrčak ID: 62860

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

[hrvatski]

Posjeta: 3.000 *