Knowra Geometry (configuration) Geometry (configuration) Geometry is the shape, dimensions, and spatial arrangement of an object or system. It describes properties such as distances, angles, curvature, and relative position.
Euclidean geometry : The study of points, lines, angles, distances, and shapes in flat space. It supplies the familiar distances and angles used to describe ordinary configurations.
Rigid transformation : A movement that preserves distances and angles, such as a rotation, translation, or reflection. It changes a configuration's position or orientation without changing its shape.
Computer-aided design : The use of software to create, modify, analyze, and document designs. Design software stores object shapes and dimensions as editable configurations.
Topology : The study of properties preserved under continuous deformation, such as connectedness. Topology ignores exact distances and angles that distinguish geometric configurations.
Coordinate system : A scheme for assigning numbers to positions relative to chosen axes or reference points. Coordinates turn spatial positions into values that can specify a configuration.
Affine transformation : A transformation that preserves straight lines and ratios along parallel lines. It describes stretching, shearing, and other changes that preserve affine structure.
Molecular geometry : The three-dimensional arrangement of atoms in a molecule. Atomic positions and bond angles determine a molecule's shape.
Differential geometry : The study of smooth curves, surfaces, and higher-dimensional spaces using calculus. It extends configuration geometry to curvature and smoothly varying structure.
Distance : A measure of separation between points in a space. Distances specify the spacing among parts of a configuration.
Cartesian coordinate system : A coordinate system that locates points using signed distances along perpendicular axes. It represents planar and spatial configurations with familiar numerical coordinates.
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