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How to Free Your Inner MathematicianNotes on Mathematics and Life$
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Susan D'Agostino

Print publication date: 2020

Print ISBN-13: 9780198843597

Published to Oxford Scholarship Online: April 2020

DOI: 10.1093/oso/9780198843597.001.0001

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Change your perspective, with Viviani’s Theorem

Change your perspective, with Viviani’s Theorem

(p.153) 26 Change your perspective, with Viviani’s Theorem
How to Free Your Inner Mathematician

Susan D'Agostino

Oxford University Press

“Change your perspective, with Viviani’s Theorem” explains a visual proof of Viviani’s Theorem which states that the sum of the distances from any point in an equilateral triangle to its edges by way of perpendicular lines is equal to the altitude of the given equilateral triangle. The discussion is enhanced with numerous hand-drawn sketches. Mathematics students and enthusiasts are encouraged to consider the possibility that a change in perspective need not radically alter circumstances in mathematical and life pursuits. At the chapter’s end, readers may check their understanding by working on a problem. A solution is provided.

Keywords:   Viviani’s Theorem, visual proof, equilateral triangle, math, student

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