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elliptic_billiards.bib
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elliptic_billiards.bib
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@article{serge91,
title = {Geometry and Billards},
author = {S. Tabachnikov},
year = {1991},
url = {http://www.math.psu.edu/tabachni/Books/billiardsgeometry.pdf}
}
@article{serge2016,
author={R. Schwartz and S. Tabachnikov},
title={Centers of mass of Poncelet polygons, 200 years after},
year={2016},
url={http://www.math.psu.edu/tabachni/prints/Poncelet5.pdf}
}
@article{corentin19,
author={C. Fierobe},
title={On the circumcenters of triangular orbits in elliptic billiard},
year={2018},
url={https://arxiv.org/pdf/1807.11903.pdf}
}
@article{ronaldo16,
author={R. Garcia},
title={Centers of Inscribed Circles in Triangular Orbits of an Elliptic Billiard},
year={2016},
url={https://arxiv.org/pdf/1607.00179v1.pdf}
}
@article{olga14,
author={O. Romaskevich},
title={On the Incenters of Triangular Orbits in Elliptic Billiard},
year={2013},
url={https://arxiv.org/pdf/1304.7588.pdf}
}
@article{alexey14,
author={A. Glutsyuk},
title={On odd-periodic orbits in complex planar billiards},
year={2014},
url={https://arxiv.org/pdf/1309.1849.pdf}
}
@encyclopedia{etc,
author={C. Kimberling},
title={Encyclopedia of Triangle Centers},
year={2019},
url={https://faculty.evansville.edu/ck6/encyclopedia/ETC.html}
}
@book{birkhoff66,
author={G. Birkhoff},
title={Dynamical Systems},
edition={1966},
year={1927},
url={http://www.freeinfosociety.com/media/pdf/2219.pdf}
}
@book{darboux1917,
author={G. Darboux},
title={Principes de Géométrie Analytique},
year={1917},
url={https://archive.org/details/principesdegom00darbuoft/page/n6}
}
@article{jacobi1837,
author={C. Jacobi},
title={Zur Theorie der Variations-Rechnung und der Differential-Gleichungen},
journal={Journal für die Reine und Angewandte Mathematik},
year={1837},
url={https://www.degruyter.com/view/j/crll.1837.issue-17/crll.1837.17.68/crll.1837.17.68.xml}
}
@article{mw_tricenter,
author={E. Weisstein},
title={Triangular Center},
journal={MathWorld--A Wolfram Web Resource},
url={http://mathworld.wolfram.com/TriangleCenter.html},
year={2019}
}
@article{mw_billiards,
author={E. Weisstein},
title={Billiards},
journal={MathWorld--A Wolfram Web Resource},
url={http://mathworld.wolfram.com/Billiards.html},
year={2019}
}
@article{mw_inradius,
author={E. Weisstein},
title={Inradius},
journal={MathWorld--A Wolfram Web Resource},
url={http://mathworld.wolfram.com/Inradius.html},
year={2019}
}
@article{mw_trilinears,
author={E. Weisstein},
title={Trilinear Coordinates},
journal={MathWorld--A Wolfram Web Resource},
url={http://mathworld.wolfram.com/TrilinearCoordinates.html},
year={2019}
}
@article{mw_barycentrics,
author={E. Weisstein},
title={Barycentric Coordinates},
journal={MathWorld--A Wolfram Web Resource},
url={http://mathworld.wolfram.com/BarycentricCoordinates.html},
year={2019}
}
@article{mw_feuerbach,
author={E. Weisstein},
title={Feuerbach's Theorem},
journal={MathWorld--A Wolfram Web Resource},
url={http://mathworld.wolfram.com/FeuerbachsTheorem.html},
year={2019}
}
@article{mw_mandart,
author={E. Weisstein},
title={Mandart's Inellipse},
journal={MathWorld--A Wolfram Web Resource},
url={http://mathworld.wolfram.com/FeuerbachsTheorem.html},
year={2019},
url={http://mathworld.wolfram.com/MandartInellipse.html}
}
@article{richardson10,
author={Bill Richardson},
title={I was just looking for an example},
year={2010},
url={http://www.math.wichita.edu/~richardson/Orthic-story/orthic-triangle-complete.html},
institution={Wichita State University}
}
@article{poncelet1822,
author={J. Poncelet},
title={Traité sur les propriétés projectives des figures},
editor={Paris: Bachelier},
year={1822}
}
@article{dragovic88,
author={D. Dragovi\'c and Milena Radnovi\'c},
title={Caustics of Poncelet Polygons and Classical Extremal Polynomials},
journal={Regular and Chaotic Dynamics},
year={2018},
volume={24},
number={1},
editor={Pleiades Publishing}
}
@article{centina15,
author={Andrea del Centina},
title={Poncelet's Porism: a long story of renewed discoveries I},
year={2015},
journal={Arch. Hist. Exact Sci.},
editor={Springer}
}