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The Lemniscate of Bernoulli, Without Formulas

  • Mathematical Gems and Curiosities
  • Sergei Tabachnikov, Editor
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Abstract

In this article, we present purely geometrical proofs of the well-known properties of the lemniscate of Bernoulli.

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References

  1. http://xahlee.info/SpecialPlaneCurves_dir/LemniscateOfBernoulli_dir/lemniscateOfBernoulli.html.

  2. R. A. Johnson. Advanced Euclidean Geometry. Dover Publications, New York, N.Y., 2007.

  3. J. D. Lawrence. A catalog of special plane curves. Dover Publications, New York, N.Y., 1972.

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Authors and Affiliations

  1. Institute for Information Transmission Problems RAS, Bolshoy Karetny per. 19, Moscow, 127994, Russia

    Arseniy V. Akopyan

  2. Dept. of Mathematics, Moscow Institute of Physics & Technology, Institutskiy per. 9, Dolgoprudny, 141700, Russia

    Arseniy V. Akopyan

Authors
  1. Arseniy V. Akopyan
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Correspondence to Arseniy V. Akopyan.

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This column is a place for those bits of contagious mathematics that travel from person to person in the community, because they are so elegant, surprising, or appealing that one has an urge to pass them on.

Contributions are most welcome.

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Akopyan, A.V. The Lemniscate of Bernoulli, Without Formulas. Math Intelligencer 36, 47–50 (2014). https://doi.org/10.1007/s00283-014-9445-5

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  • DOI: https://doi.org/10.1007/s00283-014-9445-5

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