%geom%

n. One who practices, or is versed in, geomancy. [ 1913 Webster ]

n. [ OE. geomance, geomancie, F. géomance, géomancie, LL. geomantia, fr. Gr. ge`a, gh^, the earth + mantei`a divination. ] A kind of divination by means of figures or lines, formed by little dots or points, originally on the earth, and latterly on paper.

{ } a. [ Cf. F. géomantique. ] Pertaining or belonging to geomancy. [ 1913 Webster ]

n. [ F. géomètre, L. geometres, geometra, fr. Gr. gewme`trhs, fr. ge`a, gh^, the earth + me`tron measure. See Meter measure. ] 1. One skilled in geometry; a geometrician; a mathematician. I. Watts. [ 1913 Webster ]

2. (Zool.) Any species of geometrid moth; a geometrid. [ 1913 Webster ]

a. [ Cf. F. géométral. ] Pertaining to geometry. [ Obs. ]

{ } a. [ L. geometricus; Gr. &unr_;: cf. F. géométrique. ] 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 (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. [ 1913 Webster ]

adv. According to the rules or laws of geometry. [ 1913 Webster ]

n. One skilled in geometry; a geometer; a mathematician. [ 1913 Webster ]

a. (Zool.) Pertaining or belonging to the Geometridæ. [ 1913 Webster ]

n. (Zool.) One of numerous genera and species of moths, of the family Geometridæ; -- so called because their larvæ (called loopers, measuring worms, spanworms, and inchworms) creep in a looping manner, as if measuring. Many of the species are injurious to agriculture, as the cankerworms. [ 1913 Webster ]

prop. n. A natural family of moths whose larvae are called measuring worms.
Syn. -- family Geometridae. [ WordNet 1.5 ]

v. i. [ imp. & p. p. Geometrized p. pr. & vb. n. Geometrizing ] To investigate or apprehend geometrical quantities or laws; to make geometrical constructions; to proceed in accordance with the principles of geometry. [ 1913 Webster ]

Nature geometrizeth, and observeth order in all things. Sir T. Browne. [ 1913 Webster ]

n.; pl. Geometries ety>[ F. géométrie, L. geometria, fr. Gr. &unr_;, fr. &unr_; to measure land; ge`a, gh^, the earth + &unr_; to measure. So called because one of its earliest and most important applications was to the measurement of the earth's surface. See Geometer. ] 1. That branch of mathematics which investigates the relations, properties, and measurement of solids, surfaces, lines, and angles; the science which treats of the properties and relations of magnitudes; the science of the relations of space. [ 1913 Webster ]

2. A treatise on this science. [ 1913 Webster ]

Analytical geometry, or
Coördinate geometry, that branch of mathematical analysis which has for its object the analytical investigation of the relations and properties of geometrical magnitudes. --
Descriptive geometry, that part of geometry which treats of the graphic solution of all problems involving three dimensions. --
Elementary geometry, that part of geometry which treats of the simple properties of straight lines, circles, plane surface, solids bounded by plane surfaces, the sphere, the cylinder, and the right cone. --
Higher geometry, that pert of geometry which treats of those properties of straight lines, circles, etc., which are less simple in their relations, and of curves and surfaces of the second and higher degrees. [ 1913 Webster ]