KoG, Vol. 15. No. 15., 2011.
Izvorni znanstveni članak
Universal Hyperbolic Geometry III: First Steps in Projective Triangle Geometry
Norman John Wildberger
orcid.org/0000-0003-3503-6495
; School of Mathematics and Statistics UNSW, Sydney, Australia
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
Datum izdavanja:
29.12.2011.
Posjeta: 4.225 *