Geodesic
On Holditch's Theorem and Holditch Curves
Journal of convex analysis, Tome 24 (2017) no. 1, pp. 239-259
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Holditch's Theorem and results due to A. Broman are revisted and extended under geometric hypotheses. In addition, smoothness and convexity properties of Holditch curves are derived, with emphasis on the necessity of smoothness hypotheses on the parent curve.
Classification : 26A27, 49J52
Mots-clés : Holditch's theorem, smoothness and convexity of Holditch curves, convex analysis, Broman's condition, local obtuseness, Mamikon's theorem 
@article{JCA_2017_24_1_JCA_2017_24_1_a16,
     author = {H. Proppe and A. Stancu and R. J. Stern},
     title = {On {Holditch's} {Theorem} and {Holditch} {Curves}},
     journal = {Journal of convex analysis},
     pages = {239--259},
     year = {2017},
     volume = {24},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JCA_2017_24_1_JCA_2017_24_1_a16/}
}
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H. Proppe; A. Stancu; R. J. Stern. On Holditch's Theorem and Holditch Curves. Journal of convex analysis, Tome 24 (2017) no. 1, pp. 239-259. http://geodesic.mathdoc.fr/item/JCA_2017_24_1_JCA_2017_24_1_a16/