Symétrie ponctuelle

[sad13]

Bonjour, que désigne symétrie ponctuelle ds les ouvrages: il désigne avec une isométrie affine négative, je dirai c'est la symétrie centrale mais comme c'est une rotaion d'angle pi, c'est plutôt une isométrie positive, merci

[Dlzlogic]

Bonjour,
J'ai l'impression que les termes et surtout leur sens change. Dans certains cas, ça peut réellement poser des problèmes.
Donc, tout ce que je vais dire n'engage que moi.
Symétrie ponctuelle, pour moi ça veut rien dire. Par contre 'symétrie par rapport à un point" ça c'est parfaitement clair.
Isométrie, c'est l'ensemble des transformations qui ne changent pas les dimensions : translation, rotation, symétries (par rapport à un point ou par rapport à une droite, ou à un plan)
"affine" pour moi, dans mon vocabulaire cela sous-entend déformation. La transformation dite "affinité" n'est pas une isométrie. La "transformation affine" n'est pas une isométrie.
J'avoue ne jamais avoir entendu parler d'isométrie "positive" ou "négative", mais j'imagine que la positive est un déplacement (ex translation) et la négative un retournement (ex symétrie par rapport à une droite). Pourquoi pas.

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