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3 3 3 3 Jan Aarts From a rational angle NAW 5/11 nr. 3 september 2010 211 may verify that Z = 2 3M + 1 3H, so these three points lie on the same line, the Euler line.... Trisecting the equilateral triangle with rational trigonometry N.J. Wildberger What is rational trigonometry? Rational trigonometry is a dramatically simpler way of studying the measurement of trian-gles. It replaces the quasi-linear concepts of distance and angle with the quadratic algebraic concepts of quadrance and spread, and replaces the usual swag of trigonometric laws with simpler

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## Divine Proportions Rational Trigonometry To Universal Geometry Pdf

3 3 3 3 Jan Aarts From a rational angle NAW 5/11 nr. 3 september 2010 211 may verify that Z = 2 3M + 1 3H, so these three points lie on the same line, the Euler line.

- Preface Divine Proportions: Rational Trigonometry to Universal Geometry introduces a remarkable new approach to trigonometry and Euclidean geometry, with dramatic implications for mathematics teaching, industrial applications and the direction of mathematical research in geometry. The key insight is that geometry is a quadratic subject. So rational trigonometry replaces the quasi-linear
- Rational Trigonometry: Quadrance and spread A point A is an ordered pair [x,y] of numbers. The quadrance Q (A 1,A 2) between points A 1 [x 1,y 1] and A
- "Generations of students have struggled with classical trigonometry because the framework is wrong," says Wildberger, whose book is titled Divine Proportions: Rational Trigonometry to Universal
- Rational trigonometry is a proposed reformulation of metrical planar and solid geometries (which includes trigonometry) by Canadian mathematician Norman J. Wildberger, currently a professor of mathematics at the University of New South Wales. His ideas are set out in his 2005 book Divine Proportions: Rational Trigonometry to Universal Geometry. According to New Scientist, part of …