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Parallelograms (part 2)
Parallelograms (part 2)

...  Ø Show both pairs of opposite sides are parallel.  Ø Show both pairs of opposite sides are congruent.  Ø Show both pairs of opposite angles are congruent.  Ø Show one angle is supplementary to both consecutive      angles.  Ø Show the diagonals bisect each other.  Ø Show one pair of opposite sides  ...
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... 4. Name one unique figure in spherical geometry that is not found in Euclidean geometry. Accurately describe the figure. 5. Name at least two real life applications of spherical geometry. 6. Describe how to measure the length of a segment in spherical geometry. 7. What is the largest possible interi ...
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Geom 1.5 Activity - Lancaster City Schools

< 1 ... 501 502 503 504 505 506 507 508 509 ... 612 >

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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