The Steiner Point of a Convex Polytope
Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 1294-1300

Voir la notice de l'article provenant de la source Cambridge University Press

Associated with each bounded convex set K in n-dimensional euclidean space En is a point s(K) known as its Steiner point. First considered by Steiner in 1840 (6, p. 99) in connection with an extremal problem for convex regions, this point has been found useful in some recent investigations (for example, 4) because of the linearity property 1 Addition on the left is vector addition of convex sets.
Shephard, G. C. The Steiner Point of a Convex Polytope. Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 1294-1300. doi: 10.4153/CJM-1966-128-4
@article{10_4153_CJM_1966_128_4,
     author = {Shephard, G. C.},
     title = {The {Steiner} {Point} of a {Convex} {Polytope}},
     journal = {Canadian journal of mathematics},
     pages = {1294--1300},
     year = {1966},
     volume = {18},
     number = {1},
     doi = {10.4153/CJM-1966-128-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1966-128-4/}
}
TY  - JOUR
AU  - Shephard, G. C.
TI  - The Steiner Point of a Convex Polytope
JO  - Canadian journal of mathematics
PY  - 1966
SP  - 1294
EP  - 1300
VL  - 18
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1966-128-4/
DO  - 10.4153/CJM-1966-128-4
ID  - 10_4153_CJM_1966_128_4
ER  - 
%0 Journal Article
%A Shephard, G. C.
%T The Steiner Point of a Convex Polytope
%J Canadian journal of mathematics
%D 1966
%P 1294-1300
%V 18
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1966-128-4/
%R 10.4153/CJM-1966-128-4
%F 10_4153_CJM_1966_128_4

[1] 1. Anderson, R. D. and Klee, V., Continuous functions and upper semi-continuous collections, Duke Math. J., 19 (1952), 349–357. Google Scholar

[2] 2. Bonnesen, T. and Fenchel, W., Konvexe Körper (New York, 1948). Google Scholar

[3] 3. Grünbaum, B., Convex polytopes (to be published). Google Scholar

[4] 4. Shephard, G. C., Approximation problems jor convex polyhedra, Mathematika, 11 (1964), 9–18. Google Scholar

[5] 5. Sommerville, D. M. Y., An introduction to the geometry of n dimensions (New York, 1958). Google Scholar

[6] 6. Steiner, J., Gesammelte Werke, 2 vols. (Berlin, 1881, 1882). Google Scholar

Cité par Sources :