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Experimental Mathematics Volume 12, 2003 - Issue 4
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Original Articles

On the Last Geometric Statement of Jacobi

R. Sinclair Department of Mathematics and Statistics, The University of Melbourne, Parkville, VIC 3010, Australia E-mail: [email protected]
Pages 477-485 | Published online: 05 Apr 2012

Citations (9)

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Read on this site (1)

Gil Bor & Serge Tabachnikov. (2023) On Cusps of Caustics by Reflection: Billiard Variations on the Four Vertex Theorem and on Jacobi’s Last Geometric Statement. The American Mathematical Monthly 130:5, pages 454-467.
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Articles from other publishers (8)

Misha Bialy, Corentin Fierobe, Alexey Glutsyuk, Mark Levi, Alexander Plakhov & Serge Tabachnikov. (2022) Open Problems on Billiards and Geometric Optics. Arnold Mathematical Journal 8:3-4, pages 411-422.
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Jin-ichi Itoh & Kazuyoshi Kiyohara. (2020) The Structure of the Conjugate Locus of a General Point on Ellipsoids and Certain Liouville Manifolds. Arnold Mathematical Journal 7:1, pages 31-90.
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Thomas Waters. (2018) The conjugate locus on convex surfaces. Geometriae Dedicata 200:1, pages 241-254.
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Thomas Waters. (2017) Bifurcations of the conjugate locus. Journal of Geometry and Physics 119, pages 1-8.
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Jin-ichi Itoh & Kazuyoshi Kiyohara. (2011) Cut loci and conjugate loci on Liouville surfaces. Manuscripta Mathematica 136:1-2, pages 115-141.
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Marcel BergerMarcel Berger. 2010. Geometry Revealed. Geometry Revealed 341 407 .
Robert Sinclair & Minoru Tanaka. (2006) Jacobi’s last geometric statement extends to a wider class of Liouville surfaces. Mathematics of Computation 75:256, pages 1779-1808.
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Robert Sinclair & Minoru Tanaka. (2010) A Bound on the Number of Endpoints of the Cut Locus. LMS Journal of Computation and Mathematics 9, pages 21-39.
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