Viète's Product Proved in the Finest Ancient Style
- Ciaurri, Ó. 3
- Fernándeze, E. 2
- Larrea, R. 3
- Roncal, L. 1
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1
Universidad Autónoma de Madrid
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2
Universidad Complutense de Madrid
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3
Universidad de La Rioja
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ISSN: 0746-8342
Year of publication: 2012
Volume: 43
Issue: 4
Pages: 291-296
Type: Article
More publications in: The College Mathematics Journal
Abstract
This paper gives a very elementary, essentially visual proof of Vi'ete's product.We employ only the Pythagorean theorem, similarity of triangles, and exhaustion.