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Properties of a Polycentric Oval

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All Sides to an Oval
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Abstract

In this chapter we sum up the well-known properties of an oval and add new ones, in order to have the tools for the various constructions illustrated in Chap. 3 and for the formulas linking the different parameters, derived in Chap. 4. All properties are derived by means of mathematical proofs based on elementary geometry and illustrated with drawings.

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Notes

  1. 1.

    Given two tangent circles, any secant line through the tangency point intersects the two circles at points whose connecting lines with the corresponding centres are parallel.

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Mazzotti, A.A. (2019). Properties of a Polycentric Oval. In: All Sides to an Oval. Springer, Cham. https://doi.org/10.1007/978-3-030-28810-5_2

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