Euclidean Transformation
An Euclidean Transformation refers to a set of operations that preserve the shape and size of geometric figures in a plane or space. These transformations include translations, rotations, and reflections, which maintain distances and angles between points. Essentially, they allow for the movement or alteration of objects without changing their fundamental properties.
In mathematics, particularly in geometry, Euclidean transformations are crucial for understanding symmetry and congruence. They can be represented using matrices and are often applied in fields such as computer graphics, robotics, and physics. The concept is named after the ancient Greek mathematician Euclid, who is known for his work in geometry.