Original scientific paper

https://doi.org/10.31896/k.24.2

Steinerova krivulja: deltoide konstantne površine pridružene elipsi

Ronaldo Garcia orcid.org/0000-0001-8876-6956 ; University of Goiás, Institute of Mathematics and Statistics, Goiânia, Brazil
Dan Reznik orcid.org/0000-0002-0542-6014 ; Data Science Consulting, Rio de Janeiro, Brazil
Hellmuth Stachel orcid.org/0000-0001-5300-4978 ; Vienna University of Technology Institute of Discrete Mathematics and Geometry, Vienna, Austria
Mark Helman orcid.org/0000-0002-9110-9380 ; Rice University, Weiss School of Natural Science, Houston, USA

Abstract

Negativno nožišna krivulja elipse s obzirom na neku njezinu točku M je zatvorena krivulja s tri šiljka koja je afina slika Steinerove deltoide. Za sve točke M na elipsi krivulje dobivene familije imaju istu površinu i niz zanimljivih svojstava.

Keywords

krivulja; envelopa; elipsa: nožišna krivulja; evoluta; deltoida; Poncelet; oskulacija; ortologija

Hrčak ID:

248410

URI

https://hrcak.srce.hr/248410

Publication date:

27.12.2020.

Article data in other languages: english

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