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Article Dans Une Revue College Mathematics Journal Année : 2015

To Be (a Circle) or Not to Be?

Résumé

We begin with a high school exercise, determining whether a particular equation describes an arc of a circle. We give several proofs that it does not, exploring many properties of circles along the way. Yet the curve is the arc of a conic.We then explore which equations of a generalized family are arcs of conics and give some properties of the resulting Lamé curves.
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hal-01219743 , version 1 (09-05-2022)

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Hassan Boualem, Robert Brouzet. To Be (a Circle) or Not to Be?. College Mathematics Journal, 2015, 46 (3), pp.197-206. ⟨10.4169/college.math.j.46.3.197⟩. ⟨hal-01219743⟩
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