Geometrical

From The Collaborative International Dictionary of English v.0.48 [gcide]:

Geometric \Ge'o*met"ric\, **Geometrical** \Ge'o*met"ric*al\, adjective [L.
geometricus; Gr. ?: cf. F. g['e]om['e]trique.]

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

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

Note: 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.

Note: **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 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} (Zool.), 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.

From WordNet (r) 3.0 (2006) [wn]:

adjective

1: of or relating to or determined by geometry [syn:
{geometric}, {**geometrical**}]

2: characterized by simple geometric forms in design and
decoration; "a buffalo hide painted with red and black
geometric designs" [syn: {geometric}, {**geometrical**}]

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