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grade 10 mathematics session 7: euclidean geometry
grade 10 mathematics session 7: euclidean geometry

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A Foundation for Geometry

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Unit 5A.2 – Similar Triangles

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... 6. In the triangle ABC, is a right angle. BD has been drawn perpendicular to AC. The point E lies on AC such that CE = CB. (i) Draw a figure with this information included in it. (ii) Prove that is bisected by BE. 7. Prove that the angles in an equilateral triangle are 60x. ...
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Department of Mathematics Education Faculty of Mathematics and

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What We Knew About Hyperbolic Geometry Before We Knew

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Answers to Abbreviations meanings and definitions C

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Practice worksheet - EDUC509B

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Indirect Proof and Inequalities 6.5 in One Triangle Essential Question

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Module 5 Class Notes

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Rational trigonometry

Rational trigonometry is a proposed reformulation of metrical planar and solid geometries (which includes trigonometry) by Canadian mathematician Norman J. Wildberger, currently an associate 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 his motivation for an alternative to traditional trigonometry was to avoid some problems that occur when infinite series are used in mathematics. Rational trigonometry avoids direct use of transcendental functions like sine and cosine by substituting their squared equivalents. Wildberger draws inspiration from mathematicians predating Georg Cantor's infinite set-theory, like Gauss and Euclid, who he claims were far more wary of using infinite sets than modern mathematicians. To date, rational trigonometry is largely unmentioned in mainstream mathematical literature.
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