11 citations · 15 across the 7 of their papers we have counts for
7 papers
The ancient Greeks present: Rational Trigonometry
N. J. Wildberger
Pythagoras' theorem, the area of a triangle as one half the base times the height, and Heron's formula are amongst the most important and useful results of ancient Greek geometry.…
Chromogeometry and relativistic conics
N. J. Wildberger
This paper shows how a recent reformulation of the basics of classical geometry and trigonometry reveals a three-fold symmetry between Euclidean and non-Euclidean (relativistic) pl…
Neuberg cubics over finite fields
N. J. Wildberger
The framework of universal geometry allows us to consider metrical properties of affine views of elliptic curves, even over finite fields. We show how the Neuberg cubic of triangle…
Distributive lattices defined for representations of rank two semisimple Lie algebras
L. Wyatt Alverson, Robert G. Donnelly, Scott J. Lewis +4
For a rank two root system and a pair of nonnegative integers, using only elementary combinatorics we construct two posets. The constructions are uniform across the root systems A1…
One dimensional metrical geometry
N J Wildberger
One dimensional metrical geometry may be developed in either an affine or projective setting over a general field using only algebraic ideas and quadratic forms. Some basic results…
Affine and projective universal geometry
Norman J. Wildberger
By recasting metrical geometry in a purely algebraic setting, both Euclidean and non-Euclidean geometries can be studied over a general field with an arbitrary quadratic form. Both…