Geodesic
On the Simson-Wallace Theorem and its Generalizations
Journal for geometry and graphics, Tome 9 (2005) no. 2, pp. 141-153 Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

In this contribution we show generalizations of the well known Simson-Wallace Theorem into the space. We use methods of commutative algebra which are based on Gr�bner basis computations. This method enables to find and to prove such statements which are often very difficult to prove by techniques of synthetic geometry. In order to display geometric objects we use the dynamic geometry software Cabri and the mathematical software Maple. All computations were done by the computer algebra system CoCoA.
Classification : 51N20, 51M04, 13P10
Mots-clés : Simson-Wallace Theorem, commutative algebra, normal form, Gr\"obner basis, automatic theorem proving, cubic surface 
@article{JGG_2005_9_2_JGG_2005_9_2_a2,
     author = {P. Pech },
     title = {On the {Simson-Wallace} {Theorem} and its {Generalizations}},
     journal = {Journal for geometry and graphics},
     pages = {141--153},
     year = {2005},
     volume = {9},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JGG_2005_9_2_JGG_2005_9_2_a2/}
}
TY  - JOUR
AU  - P. Pech 
TI  - On the Simson-Wallace Theorem and its Generalizations
JO  - Journal for geometry and graphics
PY  - 2005
SP  - 141
EP  - 153
VL  - 9
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/JGG_2005_9_2_JGG_2005_9_2_a2/
ID  - JGG_2005_9_2_JGG_2005_9_2_a2
ER  - 
%0 Journal Article
%A P. Pech 
%T On the Simson-Wallace Theorem and its Generalizations
%J Journal for geometry and graphics
%D 2005
%P 141-153
%V 9
%N 2
%U http://geodesic.mathdoc.fr/item/JGG_2005_9_2_JGG_2005_9_2_a2/
%F JGG_2005_9_2_JGG_2005_9_2_a2
P. Pech . On the Simson-Wallace Theorem and its Generalizations. Journal for geometry and graphics, Tome 9 (2005) no. 2, pp. 141-153. http://geodesic.mathdoc.fr/item/JGG_2005_9_2_JGG_2005_9_2_a2/