@article{aa6bf9325582425288e7a24ccf2237a6,
title = "The Siebeck{\textendash}Marden{\textendash}Northshield Theorem and the Real Roots of the Symbolic Cubic Equation",
abstract = "The isolation intervals of the real roots of the symbolic monic cubic polynomial x3+ ax2+ bx+ c are determined, in terms of the coefficients of the polynomial, by solving the Siebeck{\textendash}Marden{\textendash}Northshield triangle{\textemdash}the equilateral triangle that projects onto the three real roots of the cubic polynomial and whose inscribed circle projects onto an interval with endpoints equal to stationary points of the polynomial.",
keywords = "isolation intervals, real roots, symbolic monic cubic polynomial, Siebeck{\textendash}Marden{\textendash}Northshield triangle, equilateral triangle, stationary points",
author = "Prodanov, \{Emil M.\}",
note = "Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article{\textquoteright}s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article{\textquoteright}s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.",
year = "2022",
month = apr,
day = "29",
doi = "10.1007/s00025-022-01667-8",
language = "English",
volume = "77",
pages = "1--16",
journal = "Results in Mathematics",
issn = "1422-6383",
publisher = "Springer International Publishing",
}