Nota: A tradução desta entrada está atualmente em revisão de qualidade, portanto parte do conteúdo é exibida temporariamente apenas em inglês.
Este verbete ainda não foi traduzido para o seu idioma, portanto o original é exibido abaixo.
isometry
In mathematics, this term describes a rigid motion where the size and shape of a figure remain unchanged, ensuring that the distance between any two points is identical before and after the transformation. It is a foundational concept in Euclidean geometry, encompassing translations, rotations, and reflections.
In a physiological context, the term refers to a specific state of muscle tension. Unlike isotonic contractions where muscles shorten or lengthen, an isometric contraction occurs when the muscle generates force without changing its length, often used in physical therapy to stabilize joints or build strength without joint movement.
Meanings
Examples
A translation is a simple example of an isometry in Euclidean space.
Does this transformation qualify as an isometry if the distance between points remains unchanged?
The professor explained that every isometry preserves the congruence of shapes.
I wonder if this mapping is a global isometry or just a local one.
Rotation around a fixed axis is a classic isometry.
Hold the plank position to engage the core through isometry.
The physical therapist recommended isometry exercises to stabilize the joint without moving it.
Isometry is useful for building strength when joint range of motion is limited.