Common secants for plane convex sets
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- by V. L. Klee PDF
- Proc. Amer. Math. Soc. 5 (1954), 639-641 Request permission
References
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E. Helly, Über Mengen konvexer Körper mit gemeinschaftlichen Punkten, Jber. Deutschen Math. Verein vol. 32 (1923) pp. 175-176.
- Hans Rademacher and I. J. Schoenberg, Helly’s theorems on convex domains and Tchebycheff’s approximation problem, Canad. J. Math. 2 (1950), 245–256. MR 35044, DOI 10.4153/cjm-1950-022-8
- L. A. Santaló, A theorem on sets of parallelepipeds with parallel edges, Publ. Inst. Mat. Univ. Nac. Litoral 2 (1940), 49–60 (Spanish). MR 3726
- L. A. Santaló, Supplement to the note: A theorem on sets of parallelepipeds with parallel edges, Publ. Inst. Mat. Univ. Nac. Litoral 3 (1942), 202–210 (Spanish, with English summary). MR 7273 P. Vincensini, Figures convexes et variétés linéaires de l’espace euclidien à $n$ dimensions, Bull. Sciences Math. (2) vol. 59 (1935) pp. 163-174. —, Les ensembles d’arcs d’un même cercle dans leurs relations avec les ensembles de corps connexes du plan euclidien, Atti del Quarto Congresso dell’Unione Matematica Italiana, Taormina, 1951, vol. II, pp. 454-464. Rome, Perella, 1953.
Additional Information
- © Copyright 1954 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 5 (1954), 639-641
- MSC: Primary 52.0X
- DOI: https://doi.org/10.1090/S0002-9939-1954-0063684-8
- MathSciNet review: 0063684