**Geometrical**

Pertaining to, or according to the rules or principles of, geometry; determined by geometry; as, a **geometrical** solution of a problem.

Geometric is often used, as opposed to algebraic, to include processes or solutions in which the propositions or principles of geometry are made use of rather than those of algebra.

**geometrical** is often used in a limited or strictly technical sense, as opposed to mechanical; thus, a construction or solution is **geometrical** which can be made by ruler and compasses, i. E, by means of right lines and circles. Every construction or solution which requires any other curve, or such motion of a line or circle as would generate any other curve, is not **geometrical**, but mechanical. By another distinction, a **geometrical** solution is one obtained by the rules of geometry, or processes of analysis, and hence is exact; while a mechanical solution is one obtained by trial, by actual measurements, with instruments, etc, and is only approximate and empirical. **Geometrical** curve. Same as Algebraic curve; so called because their different points may be constructed by the operations of elementary geometry. Geometric lathe, an instrument for engraving bank notes, etc, with complicated patterns of interlacing lines; called also cycloidal engine. **Geometrical** pace, a measure of five feet. Geometric pen, an instrument for drawing geometric curves, in which the movements of a pen or pencil attached to a revolving arm of ajustable length may be indefinitely varied by changing the toothed wheels which give motion to the arm.

(Science: geometry) **geometrical** plane, one of many species of spiders, which spin a **geometrical** web. They mostly belong to epeira and allied genera, as the garden spider. See garden spider. Geometric square, a portable instrument in the form of a square frame for ascertaining distances and heights by measuring angles. **Geometrical** staircase, one in which the stairs are supported by the wall at one end only. **Geometrical** tracery, in architecture and decoration, tracery arranged in **geometrical** figures.

Origin: L. Geometricus; gr., cf. F. Geometrique.