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Some Geometry You Never Met 1 Triangle area formulas
Some Geometry You Never Met 1 Triangle area formulas

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... 1) We know a perpendicular bisector creates 90° angles, using angle bisectors we can continue the process and create ____° angles, and then ____° angles, and then ____° angles… 2) Decide if each statement is true or false. a) Every angle has exactly one angle bisector. b) Any marking on an angle mea ...
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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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