Isometriás

Isometriás is a term encountered in Greek-language sources to denote concepts related to isometry, the property of preserving distances under a transformation. The term derives from the Greek roots iso- (equal) and metron (measure). In mathematics, isometry describes a distance-preserving map between metric spaces.

In mathematics and geometry, an isometry is a mapping that preserves distances: d(f(x), f(y)) = d(x, y). Classic examples in the plane include translations, rotations, and reflections. The concept extends to higher dimensions and to metric spaces beyond Euclidean geometry. In many contexts, Greek terminology uses ισομετρία for isometry and ισομετρικός (isometrikos) as the adjective.

In geometry and technical drawing, isometric projection is an axonometric method in which the scales along the three principal axes are equal, producing a pictorial representation where the axes meet at 120-degree angles. This approach is common in engineering drawings, video games, and art that aims to convey three-dimensional form without perspective distortion.

In physiology, the term isometric (isometrikí) contraction refers to a muscle action in which the muscle length remains constant while tension changes. This contrasts with isotonic contractions, where muscle length changes during the action.

Etymology and cross-language usage: isometriás reflects the Greek-rooted concept of isometry and appears in discussions of mathematics, design, and physiology. In English, the standard terms are isometry and isometric.