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arXiv · 1808.02364

Application of Renormalization Techniques to the Classical Arbelos Problem

Yelena Shvets·Jacob LiBrizzi
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Abstract

This application of renormalization techniques offers a modern take on the classical Arbelos geometry problem. Keeping within the context of the original problem, two semicircles, meeting at chord T, are together circumscribed by a third semicircle. Separate from the original Arbelos result, both circumscribed semicircle areas are found in terms of chord T and the third circumscribing semicircle radius R. This approach eliminates the additional variables of the circumscribed semicircle radii.

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Yelena Shvets, Jacob LiBrizzi. 2018-08-05. Application of Renormalization Techniques to the Classical Arbelos Problem. https://arxiv.org/abs/1808.02364

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