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KoG, Vol.15. No.15. Prosinac 2011.

Izvorni znanstveni članak

Universal Hyperbolic Geometry III: First Steps in Projective Triangle Geometry

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

Puni tekst: engleski, pdf (896 KB) str. 25-49 preuzimanja: 1.062* citiraj
APA 6th Edition
Wildberger, N.J. (2011). Universal Hyperbolic Geometry III: First Steps in Projective Triangle Geometry. KoG, 15. (15.), 25-49. Preuzeto s https://hrcak.srce.hr/77080
MLA 8th Edition
Wildberger, Norman John. "Universal Hyperbolic Geometry III: First Steps in Projective Triangle Geometry." KoG, vol. 15., br. 15., 2011, str. 25-49. https://hrcak.srce.hr/77080. Citirano 20.11.2018.
Chicago 17th Edition
Wildberger, Norman John. "Universal Hyperbolic Geometry III: First Steps in Projective Triangle Geometry." KoG 15., br. 15. (2011): 25-49. https://hrcak.srce.hr/77080
Harvard
Wildberger, N.J. (2011). 'Universal Hyperbolic Geometry III: First Steps in Projective Triangle Geometry', KoG, 15.(15.), str. 25-49. Preuzeto s: https://hrcak.srce.hr/77080 (Datum pristupa: 20.11.2018.)
Vancouver
Wildberger NJ. Universal Hyperbolic Geometry III: First Steps in Projective Triangle Geometry. KoG [Internet]. 2011 [pristupljeno 20.11.2018.];15.(15.):25-49. Dostupno na: https://hrcak.srce.hr/77080
IEEE
N.J. Wildberger, "Universal Hyperbolic Geometry III: First Steps in Projective Triangle Geometry", KoG, vol.15., br. 15., str. 25-49, 2011. [Online]. Dostupno na: https://hrcak.srce.hr/77080. [Citirano: 20.11.2018.]

Sažetak
We initiate a triangle geometry in the projective metrical setting, based on the purely algebraic approach of universal geometry, and yielding in particular a new form of hyperbolic triangle geometry. There are three main strands: the Orthocenter, Incenter and Circumcenter hierarchies, with the last two dual. Formulas using ortholinear coordinates are a main objective. Prominent are five particular points, the b, z, x, h and s points, all lying on the Orthoaxis A. A rich kaleidoscopic aspect colours the subject.

Ključne riječi
universal hyperbolic geometry; triangle geometry; projective geometry; bilinear form; ortholinear coordinates; incenter; circumcenter; orthoaxis

Hrčak ID: 77080

URI
https://hrcak.srce.hr/77080

[hrvatski]

Posjeta: 1.986 *