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 (Zoöl.), 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
(Ge`o*met"ric*al*ly) adv. According to the rules or laws of geometry.
(Ge*om`e*tri"cian) n. One skilled in geometry; a geometer; a mathematician.
(Ge*om"e*trid) a. (Zoöl.) Pertaining or belonging to the Geometridæ.
(Ge*om"e*trid), n. (Zoöl.) 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.
(Ge*om"e*trize) 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.
Nature geometrizeth, and observeth order in all things.Sir T. Browne.
(Ge*om"e*try) n.; pl. Geometries (#) [F. géométrie, L. geometria, fr. Gr. fr. to measure land;
ge`a, gh^, the earth + 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.
2. A treatise on this science.
Analytical, 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
(Ge*oph"a*gism) n. [Gr. ge`a, gh^, earth + to eat.] The act or habit of eating earth.
See Dirt eating, under Dirt. Dunglison.
(Ge*oph"a*gist) n. One who eats earth, as dirt, clay, chalk, etc.
(Ge*oph"a*gous) a. Earth- eating.
(||Ge*oph"i*la) n. pl. [NL., from Gr. ge`a, gh^, earth + to love.] (Zoöl.) The division of Mollusca
which includes the land snails and slugs.
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