Chromogeometry
WebChromogeometry - Free download as PDF File (.pdf), Text File (.txt) or read online for free. Interesting Geometry WebSep 23, 2024 · In his talk Wildberger analyses the ellipse from the perspective of Chromogeometry, his three colored geometries. I want to focus here on the blue geometry, the classic Euclidean geometry. Wildberger states (see his slide below) that for a point on the ellipse, the quadrances of the altitudes with the two diagonals sum up to a constant …
Chromogeometry
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WebAug 23, 2024 · We consider three metrical geometries, the Euclidean geometry and two Einstein-Minkowski geometries and show that the problem of polynomial summation over … WebJun 23, 2008 · Chromogeometry brings together Euclidean geometry (called blue) and two relativistic geometries (called red and green), in a surprising three-fold symmetry. …
WebThis 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) planar geometries. We apply this chromogeometry to look at conics in a n... WebThis work has led to a lovely new three-fold symmetry in planar geometry called Chromogeometry, and a large-scale reformulation of the hyperbolic geometry that began with Lobachevsky, Bolyai, and Gauss, now called Universal Hyperbolic Geometry. You can find on this site his papers and some conference
WebThe pdf file above is where I first encountered Chromogeometry which uses the identity below: _____ _ (red geometry)^2 + (green geometry)^2 = (blue geometry)^2 (x^2-y^2)^2 + (2xy)^2 = (x^2+y^2)^2 _____ _ A triangle has coordinates u(2,6), v(6,9), w(14,1). Q is the quadrance = the length of a line squared. b is blue geometry = Euclidean geometry ... WebChromogeometry allows us to study not just one, but three Euler lines of a triangle. One for each of the three fundamental planar geometries: Euclidean (blue) and the two …
WebJun 30, 2024 · Here are the 10 Chapters: 1. The Affine Plane 2. Signed Areas 3. Oriented Splines 4. Sums of Powers 5. Curves and Motion 6. Tangents 7. Topology and Physics 8. The Discrete Calculus 9. Areas of Curves 10. The Fundamental Theorem If this sounds exciting to you, then please join us. Let's roll up our sleeves and start learning Calculus …
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