Viviani's Theorem and its Extensions Revisited; Canghareeb, Sanghareeb and a New Definition of the Ellipse

Elias Abboud

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arXiv · 1410.6442

Viviani's Theorem and its Extensions Revisited; Canghareeb, Sanghareeb and a New Definition of the Ellipse

Elias Abboud

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Abstract

Canghareeb and Sanghareeb are described to be "geometric creatures" living in the plane under certain conditions relative to a triangle. They have common and different features. The former lives on a line segment inside a triangle and the latter lives along an ellipse. Their story ends with a new definition of the ellipse.

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BibTeX RIS

Elias Abboud. 2014-10-23. Viviani's Theorem and its Extensions Revisited; Canghareeb, Sanghareeb and a New Definition of the Ellipse. https://arxiv.org/abs/1410.6442

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