The Lemniscate of Bernoulli, Without Formulas

2010/03/16 by Arseny Akopyan, Akopyan, Arseny
Mathematics · #97G #FOS: Mathematics #History and Overview (math.HO) #Metric Geometry (math.MG) #math.HO #math.MG #msc:97G

paper · pdf · doi:10.48550/arxiv.1003.3078

7 pages, 12 figuresLemniscate of Bernoulli

arxiv created 2014/05/24 · arxiv updated 2015/03/13

Abstract

In this paper we give purely geometrical proofs of the well-known properties of the lemniscate of Bernoulli.

Related

• The Lemniscate
• Sufficient Conditions for Starlike Functions Associated with the Lemniscate of Bernoulli
• Daniel Bernoulli, pionnier des modèles mathématiques en médecine
• On Bernoulli Numbers and Its Properties
• Starlikeness associated with lemniscate of Bernoulli