Complex Napoleon's theorem made simple - part 2

Shirali, Shailesh (2017) Complex Napoleon's theorem made simple - part 2. At Right Angles, 6 (3). pp. 28-30. ISSN 2582-1873

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Abstract

In an earlier issue of At Right Angles, we had studied a gem of Euclidean geometry called Napoleon's Theorem, a result discovered in post-revolution France. We had offered proofs of the theorem that were computational in nature, based on trigonometry and complex numbers. We continue our study of the theorem in this article, and offer proofs that are more geometric in nature; they make extremely effective use of the geometry of rotations.

Item Type: Articles in APF Magazines
Authors: Shirali, Shailesh
Document Language:
Language
English
Uncontrolled Keywords: Napoleon, Equilateral triangle, Rotation, Parallelogram, Basic proportionality theorem
Subjects: Natural Sciences > Mathematics
Divisions: Azim Premji University > University Publications > At Right Angles
Full Text Status: Public
URI: http://publications.azimpremjifoundation.org/id/eprint/1301
Publisher URL: http://apfstatic.s3.ap-south-1.amazonaws.com/s3fs-...

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