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Spherical Geometry – Part I
Spherical Geometry – Part I

End of Module Study Guide: Concepts of Congruence Rigid Motions
End of Module Study Guide: Concepts of Congruence Rigid Motions

... Angle  Sum  Theorem  for  Triangles:  The  sum  of  the  interior  angles  of  a  triangle  is   always  180°.  Be  ready  to  prove  this  using  parallel  lines  and  straight  angles!!   ...
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REFERENCES - mongolinternet.com

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Concurrent Lines, part 1

... bisected the three angles. He noted that the bisectors met in a single point and decided to repeat the experiment on an extremely obtuse triangle. Again, the bisectors concurred. Astonished, the person drew yet a third triangle, and the same thing happened yet again! Unlike squares and circles, tria ...
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Geometry Unit 18: Euclidean vs Non-Euclidean Geometry 2009-2010

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Dynamic Geometry Software not only for simple dragging

Copyright © by Holt, Rinehart and Winston
Copyright © by Holt, Rinehart and Winston

aps08_ppt_0901
aps08_ppt_0901

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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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