Lengtedeel

Lengtedeel is a Dutch-language term used in geometry and related technical fields to denote the length component of a figure or object, i.e., the measure of how long a part is along a given dimension. It is a descriptive label rather than a fixed formal definition, and it appears in textbooks and engineering drawings to indicate the size of a segment or a portion of a total length.

In Euclidean space, the lengtedeel of a line segment AB is the distance between its endpoints, computed as the square root of the sum of squared coordinate differences: sqrt((x2−x1)^2 + (y2−y1)^2 [+ (z2−z1)^2]). For a smooth curve, the corresponding quantity is arc length, defined as the integral of ds along the curve, where ds = sqrt((dx)^2+(dy)^2+(dz)^2) for differential elements. For a polyline, the lengtedeel is the sum of the lengths of its constituent segments.

In practice, lengtedeel is used to specify a required length along an edge, axis, or path, and may be subject to tolerances in manufacturing or construction. It can also appear in decomposition problems, where a larger length is partitioned into lengtedeels that fulfill other constraints or design criteria.

Metre (m) is the standard unit for measuring lengtedeel in the International System of Units, with smaller units such as centimetres (cm) or millimetres (mm) commonly used for precision. The concept is closely related to distance and length, but the term lengtedeel emphasizes the measured portion of a figure or path.