Izvorni znanstveni članak

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

Steiner's Hat: a Constant-Area Deltoid Associated with the Ellipse

Ronaldo Garcia orcid.org/0000-0001-8876-6956 ; Universidade Federal de Goiás Instituto de Matemática e Estatística, 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, Wien, Austria
Mark Helman orcid.org/0000-0002-9110-9380 ; Rice University, Weiss School of Natural Science, Houston, USA

Sažetak

The Negative Pedal Curve (NPC) of the Ellipse with respect to a boundary point M is a 3-cusp closed-curve which is the affine image of the Steiner Deltoid. Over all M the family has invariant area and displays an array of interesting properties.

Ključne riječi

curve; envelope; ellipse; pedal; evolute; deltoid; Poncelet; osculating; orthologic

Hrčak ID:

248410

URI

https://hrcak.srce.hr/248410

Datum izdavanja:

27.12.2020.

Podaci na drugim jezicima: hrvatski

Posjeta: 1.911 *