Geodesic
On Carathéodory's Theorem
Canadian mathematical bulletin, Tome 9 (1966) no. 4, pp. 463-465

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

DOI

The following proof of Caratheodory's Theorem, while not essentially new, seems to be natural and therefore of interest.LEMMA 1. Let P denote a supporting hyperplane of the convex polytope K. Then P∩K is a convex polytope whose vertices are vertices of K. 
Scherk, P. On Carathéodory's Theorem. Canadian mathematical bulletin, Tome 9 (1966) no. 4, pp. 463-465. doi: 10.4153/CMB-1966-056-5
@article{10_4153_CMB_1966_056_5,
     author = {Scherk, P.},
     title = {On {Carath\'eodory's} {Theorem}},
     journal = {Canadian mathematical bulletin},
     pages = {463--465},
     year = {1966},
     volume = {9},
     number = {4},
     doi = {10.4153/CMB-1966-056-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1966-056-5/}
}
TY  - JOUR
AU  - Scherk, P.
TI  - On Carathéodory's Theorem
JO  - Canadian mathematical bulletin
PY  - 1966
SP  - 463
EP  - 465
VL  - 9
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1966-056-5/
DO  - 10.4153/CMB-1966-056-5
ID  - 10_4153_CMB_1966_056_5
ER  - 
%0 Journal Article
%A Scherk, P.
%T On Carathéodory's Theorem
%J Canadian mathematical bulletin
%D 1966
%P 463-465
%V 9
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1966-056-5/
%R 10.4153/CMB-1966-056-5
%F 10_4153_CMB_1966_056_5

Cité par Sources :