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Arbelos Theory in Electrical Engineering DOI:10.15199/48.2019.03.20

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Arbelos is a plane figure bounded by three pairwise tangent semicircles whose centers are lying on the same line (Fig.1). Fig. 1 Arbelos. It has been known since ancient times. According to Book of Lemmas [1], Archimedes of Syracuse gave the name to the figure and formulated a number of propositions concerning it. Nowadays we can only speculate whether ancient Greek mathematicians investigated arbelos for practical reasons or just for its astounding geometric properties. Even in the twentieth century new results in the subject were obtained (see e.g. [2], [3], [4] and [6]). We briefly discuss basic properties of arbelos and its analogues, finally we consider an idea concerning application of arbelos and elliptic arbelos in indentifying assymetries in electrical circuits. "What Archimeds called an [...]

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