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Comparing Planar and Spherical Geometry
Comparing Planar and Spherical Geometry

... For each property listed from plane Euclidean geometry, write a corresponding statement for spherical geometry. ...
Cumulative Review for midterm Name Geometry, chapters 1 to 6
Cumulative Review for midterm Name Geometry, chapters 1 to 6

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3/5 Student Growth Assessment review File

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An angle inscribed in a semicircle is a right angle

Chapter 1 Test Review Period ______ 1. Two nonadjacent angles f
Chapter 1 Test Review Period ______ 1. Two nonadjacent angles f

... 2. An angle whose measure is greater than 0° and less than 90° is a(n): 3. A segment, ray, line or plane that divides a segment into two congruent segments is a: 4. A figure formed by two rays with a common endpoint is a(n): 5. Points that lie on the same line are: 6. Points that lie on the same pla ...
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Chapter 1 Test Review Period ______ 1. Two nonadjacent angles

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Geometry Final Exam (Semester 1) Study Guide

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CHAPTER 2: MATH NOTES Angle Relationships Naming Parts of

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Definition: a segment that connects a vertex of a triangle to the

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Geometry 1 Chapter 1 REVIEW Name

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Geometry Additional Illustrated Vocabulary

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4. Alexandrian mathematics after Euclid — III

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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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