Geodesic
On a Geometrical Theorem in Exterior Algebra
Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 1187-1191

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

In this paper we shall give necessary and sufficient conditions for three lines, passing respectively through the vertices of a proper triangle PQR in the real Euclidean plane, to be concurrent. Of course, the theorem of Ceva deals with this problem, but it is useful to have a criterion which involves only vectors localized at a point O of the plane, and the exterior products of these vectors. Applications are made to theorems which are not easily proved by other methods. 
Pedoe, Daniel. On a Geometrical Theorem in Exterior Algebra. Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 1187-1191. doi: 10.4153/CJM-1967-107-7
@article{10_4153_CJM_1967_107_7,
     author = {Pedoe, Daniel},
     title = {On a {Geometrical} {Theorem} in {Exterior} {Algebra}},
     journal = {Canadian journal of mathematics},
     pages = {1187--1191},
     year = {1967},
     volume = {19},
     number = {1},
     doi = {10.4153/CJM-1967-107-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1967-107-7/}
}
TY  - JOUR
AU  - Pedoe, Daniel
TI  - On a Geometrical Theorem in Exterior Algebra
JO  - Canadian journal of mathematics
PY  - 1967
SP  - 1187
EP  - 1191
VL  - 19
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1967-107-7/
DO  - 10.4153/CJM-1967-107-7
ID  - 10_4153_CJM_1967_107_7
ER  - 
%0 Journal Article
%A Pedoe, Daniel
%T On a Geometrical Theorem in Exterior Algebra
%J Canadian journal of mathematics
%D 1967
%P 1187-1191
%V 19
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1967-107-7/
%R 10.4153/CJM-1967-107-7
%F 10_4153_CJM_1967_107_7

Cité par Sources :