11 citations · 29 across the 14 of their papers we have counts for
4 papers · 1 filter
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…
Pell's equation without irrational numbers
N. J. Wildberger
We solve Pell's equation in a simple way without continued fractions or irrational numbers, and relate the algorithm to the Stern Brocot tree.