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Thales of Miletus1 - Department of Mathematics
Thales of Miletus1 - Department of Mathematics

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Geometry Quiz - Project Maths

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... ____    Side  is  congruent  to  itself                      (  a  shared  side  between  two  triangles)   ____    Definition  of  a  midpoint                    (  a  midpoint  bisects  a  segment     ...
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4-6 Congruence in Right Triangles

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Lesson 12 - EngageNY

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Geometry Module 1, Topic G, Overview

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... Theorem, which relates the sides of a right triangle, we can find the distance between two points. Definition The Pythagorean Theorem states that the sum of the squares of the legs of a right triangle will equal the square of the hypotenuse of the triangle. In graphical form, given the triangle show ...
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Geometry Mathematics Curriculum Guide

... Describe and apply the different types of transformations and be able to differentiate between them Perform translations, reflections, and rotations with and without the use of technology; including reflecting over parallel lines and reflecting over intersecting lines Describe and perform the compos ...
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Lesson 13: The Inscribed Angle Alternate—A Tangent Angle

... We have shown that the inscribed angle theorem can be extended to the case when one of the angle’s rays is a tangent segment and the vertex is the point of tangency. The Example develops another theorem in the inscribed angle theorem’s family: the angle formed by the intersection of the tangent line ...
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Tangent and Right Triangles

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Math 324 - Corey Foote

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Key - Coach Shue`s Teacher Page

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Discovering Properties of Trapezoids and Kites

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HS Geometry Curriculum - Magoffin County Schools

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Chapter 10 P3

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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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