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The Cyclic Quadrilateral Quadrea Theorem - Rational Geometry Math Foundations

Insights into Mathematics via YouTube

Overview

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Explore the Cyclic quadrilateral quadrea (CQQ) theorem in this 22-minute mathematics video. Delve into a major re-evaluation of Brahmagupta's classical theorem on cyclic quadrilateral areas, combined with Robbins' formula for non-convex cyclic quadrilaterals. Examine numerical illustrations in both convex and non-convex cases, engage in algebraic exercises, and perform satisfying numerical calculations. Cover topics including cyclic quadrilaterals, Brahmagupta and Robbins formulas, rational examples, quadratic equations, and solutions for non-convex quadrilaterals. Gain deeper insights into this fundamental geometric concept through rigorous mathematical analysis and practical examples.

Syllabus

More on the CQQ theorem
Cyclic quadrilaterals
Assuming formulas of Brahmagupta and Robbins
Rational examples
Quadratic equation
Non-convex quadrilaterals
Solutions of the quadratic equation

Taught by

Insights into Mathematics

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