Isometrikusan

Isometrikusan is an adverb in Hungarian used to describe actions or properties that preserve the distances between points. It derives from isometria, the concept of an isometry in geometry, which refers to a distance-preserving mapping between metric spaces. In Euclidean geometry, a transformation is isometric if it preserves all pairwise distances; equivalently, the image of any two points has the same distance as the original pair.

Common isometries in the plane include translations (sliding every point by the same vector), rotations (turning around a fixed point by a given angle), reflections (mirror symmetry across a line), and glide reflections (a reflection followed by a parallel translation). Combinations of these transformations are also isometries. When a figure is transformed isometrikusan, its size and shape remain unchanged; only position or orientation may change. Thus, angles and lengths are preserved.

Isometrikusan is often contrasted with similar transformations such as similarities, which preserve shapes but may scale sizes, or affine transformations, which preserve parallelism but not necessarily distances or angles. In various fields, describing a process as carried out isometrikusan signals that distances and the overall geometric structure are preserved, for example in geometric constructions, embeddings into Euclidean space, or computer graphics where certain mappings are executed as rigid motions.

See also isometry, rigid motion, isometric embedding.