# Geometral

## Ge*om"e*tral

(?), a. [Cf. F.*gomtral*.] Pertaining to geometry.

*[Obs.]*

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## Ge`o*met"ric

(?),## Ge`o*met"ric*al

(?), } a. [L.*geometricus*; Gr. : cf. F.

*gomtrique*.] 1. Pertaining to, or according to the rules or principles of, geometry; determined by geometry; as, a

*geometrical*solution of a problem.

[1913 Webster]

2.
*(Art)* characterized by simple geometric forms in design and decoration; as, a buffalo hide painted with red and black
*geometrical* designs.

**Syn. --** geometric.

[WordNet 1.5]

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.

[1913 Webster]

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.

[1913 Webster]

**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 adjustable length may be indefinitely varied by changing the toothed wheels which give motion to the arm. --
**Geometrical plane**
*(Persp.)*, the same as
*Ground plane* . --
**Geometrical progression**,
**proportion**,
**ratio**. See under Progression, Proportion and Ratio. --
**Geometrical radius**, in gearing, the radius of the pitch circle of a cogwheel.
*Knight.* --
**Geometric spider**
*(Zol.)*, 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.

[1913 Webster]

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Wed 12th December 2018