| slovo | definícia |
geometric
(encz) | geometric,geometrický adj: |
Geometric
(gcide) | Geometric \Ge`o*met"ric\, Geometrical \Ge`o*met"ric*al\, a. [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.
[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]
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.
[1913 Webster]
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.
[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] |
geometric
(wn) | geometric
adj 1: characterized by simple geometric forms in design and
decoration; "a buffalo hide painted with red and black
geometric designs" [syn: geometric, geometrical]
2: of or relating to or determined by geometry [syn:
geometric, geometrical] |
| | podobné slovo | definícia |
geometric
(encz) | geometric,geometrický adj: |
geometric mean
(encz) | geometric mean, n: |
geometric pace
(encz) | geometric pace, n: |
geometric progression
(encz) | geometric progression, |
geometric series
(encz) | geometric series, n: |
geometrical
(encz) | geometrical,geometrický adj: |
geometrical irregularity
(encz) | geometrical irregularity, n: |
geometrical regularity
(encz) | geometrical regularity, n: |
geometrically
(encz) | geometrically,geometricky adv: |
geometrician
(encz) | geometrician, |
protogeometric
(encz) | protogeometric, adj: |
geometricky
(czen) | geometricky,geometricallyadv: |
geometrické umístění bodů
(czen) | geometrické umístění bodů,locus of points v.martin |
geometrický
(czen) | geometrický,geometricadj: geometrický,geometricaladj: |
geometrický oblouk
(czen) | geometrický oblouk,arc |
Chilo mycterus geometricus
(gcide) | Bur fish \Bur" fish`\ (Zool.)
A spinose, plectognath fish of the Allantic coast of the
United States (esp. Chilo mycterus geometricus) having the
power of distending its body with water or air, so as to
resemble a chestnut bur; -- called also ball fish, {balloon
fish}, and swellfish.
[1913 Webster] |
geometric geometrical
(gcide) | nonrepresentational \nonrepresentational\ adj. (Art)
not intended to realistically represent a physical object; --
of visual art work. Opposite of representational. [Narrower
terms: {abstract, abstractionist, nonfigurative, nonobjective
; {conventional, formal, schematic ; {geometric, geometrical
; protogeometric ; {semiabstract ] Also See: {abstract.
Syn: nonobjective.
[WordNet 1.5] |
Geometric lathe
(gcide) | Geometric \Ge`o*met"ric\, Geometrical \Ge`o*met"ric*al\, a. [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.
[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]
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.
[1913 Webster]
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.
[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]
[1913 Webster]
3. The movable swing frame of a loom, carrying the reed for
separating the warp threads and beating up the weft; --
called also lay and batten.
[1913 Webster]
Blanchard lathe, a lathe for turning irregular forms after
a given pattern, as lasts, gunstocks, and the like.
Drill lathe, or Speed lathe, a small lathe which, from
its high speed, is adapted for drilling; a hand lathe.
Engine lathe, a turning lathe in which the cutting tool has
an automatic feed; -- used chiefly for turning and boring
metals, cutting screws, etc.
Foot lathe, a lathe which is driven by a treadle worked by
the foot.
Geometric lathe. See under Geometric
Hand lathe, a lathe operated by hand; a power turning lathe
without an automatic feed for the tool.
Slide lathe, an engine lathe.
Throw lathe, a small lathe worked by one hand, while the
cutting tool is held in the other.
[1913 Webster] |
Geometric pen
(gcide) | Geometric \Ge`o*met"ric\, Geometrical \Ge`o*met"ric*al\, a. [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.
[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]
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.
[1913 Webster]
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.
[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]Pen \Pen\ (p[e^]n), n. [OE. penne, OF. penne, pene, F. penne,
fr. L. penna.]
1. A feather. [Obs.] --Spenser.
[1913 Webster]
2. A wing. [Obs.] --Milton.
[1913 Webster]
3. An instrument used for writing with ink, formerly made of
a reed, or of the quill of a goose or other bird, but now
also of other materials, as of steel, gold, etc. Also,
originally, a stylus or other instrument for scratching or
graving.
[1913 Webster]
Graven with an iron pen and lead in the rock. --Job
xix. 24.
[1913 Webster]
4. Fig.: A writer, or his style; as, he has a sharp pen.
"Those learned pens." --Fuller.
[1913 Webster]
5. (Zool.) The internal shell of a squid.
[1913 Webster]
6. [Etymol. uncertain.] (Zool.) A female swan; -- contrasted
with cob, the male swan. [Prov. Eng.]
[1913 Webster]
Bow pen. See Bow-pen.
Dotting pen, a pen for drawing dotted lines.
Drawing pen, or Ruling pen, a pen for ruling lines having
a pair of blades between which the ink is contained.
Fountain pen, Geometric pen. See under Fountain, and
Geometric.
Music pen, a pen having five points for drawing the five
lines of the staff.
Pen and ink, or pen-and-ink, executed or done with a pen
and ink; as, a pen and ink sketch.
Pen feather. A pin feather. [Obs.]
Pen name. See under Name.
Sea pen (Zool.), a pennatula. [Usually written sea-pen.]
[1913 Webster] |
Geometric spider
(gcide) | Geometric \Ge`o*met"ric\, Geometrical \Ge`o*met"ric*al\, a. [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.
[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]
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.
[1913 Webster]
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.
[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] |
Geometric square
(gcide) | Geometric \Ge`o*met"ric\, Geometrical \Ge`o*met"ric*al\, a. [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.
[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]
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.
[1913 Webster]
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.
[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] |
Geometrical
(gcide) | Geometric \Ge`o*met"ric\, Geometrical \Ge`o*met"ric*al\, a. [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.
[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]
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.
[1913 Webster]
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.
[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] |
Geometrical curve
(gcide) | Geometric \Ge`o*met"ric\, Geometrical \Ge`o*met"ric*al\, a. [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.
[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]
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.
[1913 Webster]
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.
[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] |
geometrical mean
(gcide) | Mean \Mean\, n.
1. That which is mean, or intermediate, between two extremes
of place, time, or number; the middle point or place;
middle rate or degree; mediocrity; medium; absence of
extremes or excess; moderation; measure.
[1913 Webster]
But to speak in a mean, the virtue of prosperity is
temperance; the virtue of adversity is fortitude.
--Bacon.
[1913 Webster]
There is a mean in all things. --Dryden.
[1913 Webster]
The extremes we have mentioned, between which the
wellinstracted Christian holds the mean, are
correlatives. --I. Taylor.
[1913 Webster]
2. (Math.) A quantity having an intermediate value between
several others, from which it is derived, and of which it
expresses the resultant value; usually, unless otherwise
specified, it is the simple average, formed by adding the
quantities together and dividing by their number, which is
called an arithmetical mean. A geometrical mean is the
nth root of the product of the n quantities being
averaged.
[1913 Webster]
3. That through which, or by the help of which, an end is
attained; something tending to an object desired;
intermediate agency or measure; necessary condition or
coagent; instrument.
[1913 Webster]
Their virtuous conversation was a mean to work the
conversion of the heathen to Christ. --Hooker.
[1913 Webster]
You may be able, by this mean, to review your own
scientific acquirements. --Coleridge.
[1913 Webster]
Philosophical doubt is not an end, but a mean. --Sir
W. Hamilton.
[1913 Webster]
Note: In this sense the word is usually employed in the
plural form means, and often with a singular attribute
or predicate, as if a singular noun.
[1913 Webster]
By this means he had them more at vantage.
--Bacon.
[1913 Webster]
What other means is left unto us. --Shak.
[1913 Webster]
4. pl. Hence: Resources; property, revenue, or the like,
considered as the condition of easy livelihood, or an
instrumentality at command for effecting any purpose;
disposable force or substance.
[1913 Webster]
Your means are very slender, and your waste is
great. --Shak.
[1913 Webster]
5. (Mus.) A part, whether alto or tenor, intermediate between
the soprano and base; a middle part. [Obs.]
[1913 Webster]
The mean is drowned with your unruly base. --Shak.
[1913 Webster]
6. Meantime; meanwhile. [Obs.] --Spenser.
[1913 Webster]
7. A mediator; a go-between. [Obs.] --Piers Plowman.
[1913 Webster]
He wooeth her by means and by brokage. --Chaucer.
[1913 Webster]
By all means, certainly; without fail; as, go, by all
means.
By any means, in any way; possibly; at all.
[1913 Webster]
If by any means I might attain to the resurrection
of the dead. --Phil. iii.
ll.
[1913 Webster]
By no means, or By no manner of means, not at all;
certainly not; not in any degree.
[1913 Webster]
The wine on this side of the lake is by no means so
good as that on the other. --Addison.
[1913 Webster] |
Geometrical pace
(gcide) | Geometric \Ge`o*met"ric\, Geometrical \Ge`o*met"ric*al\, a. [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.
[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]
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.
[1913 Webster]
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.
[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]pace \pace\ (p[=a]s), n. [OE. pas, F. pas, from L. passus a
step, pace, orig., a stretching out of the feet in walking;
cf. pandere, passum, to spread, stretch; perh. akin to E.
patent. Cf. Pas, Pass.]
1. A single movement from one foot to the other in walking; a
step.
[1913 Webster]
2. The length of a step in walking or marching, reckoned from
the heel of one foot to the heel of the other; -- used as
a unit in measuring distances; as, he advanced fifty
paces. "The height of sixty pace ." --Chaucer.
[1913 Webster]
Note: Ordinarily the pace is estimated at two and one half
linear feet; but in measuring distances be stepping,
the pace is extended to three feet (one yard) or to
three and three tenths feet (one fifth of a rod). The
regulation marching pace in the English and United
States armies is thirty inches for quick time, and
thirty-six inches for double time. The Roman pace
(passus) was from the heel of one foot to the heel of
the same foot when it next touched the ground, five
Roman feet.
[1913 Webster]
3. Manner of stepping or moving; gait; walk; as, the walk,
trot, canter, gallop, and amble are paces of the horse; a
swaggering pace; a quick pace. --Chaucer.
[1913 Webster]
To-morrow, and to-morrow, and to-morrow,
Creeps in this petty pace from day to day. --Shak.
[1913 Webster]
In the military schools of riding a variety of paces
are taught. --Walsh.
[1913 Webster]
4. A slow gait; a footpace. [Obs.] --Chucer.
[1913 Webster]
5. Specifically, a kind of fast amble; a rack.
[1913 Webster]
6. Any single movement, step, or procedure. [R.]
[1913 Webster]
The first pace necessary for his majesty to make is
to fall into confidence with Spain. --Sir W.
Temple.
[1913 Webster]
7. (Arch.) A broad step or platform; any part of a floor
slightly raised above the rest, as around an altar, or at
the upper end of a hall.
[1913 Webster]
8. (Weaving) A device in a loom, to maintain tension on the
warp in pacing the web.
[1913 Webster]
9. The rate of progress of any process or activity; as, the
students ran at a rapid pace; the plants grew at a
remarkable pace.
[PJC]
Geometrical pace, the space from heel to heel between the
spot where one foot is set down and that where the same
foot is again set down, loosely estimated at five feet, or
by some at four feet and two fifths. See Roman pace in
the Note under def. 2. [Obs.]
To keep pace with or To hold pace with, to keep up with;
to go as fast as. "In intellect and attainments he kept
pace with his age." --Southey.
To put (someone) through one's paces to cause (someone) to
perform an act so as to demonstrate his/her skill or
ability.
[1913 Webster +PJC] |
Geometrical plane
(gcide) | Geometric \Ge`o*met"ric\, Geometrical \Ge`o*met"ric*al\, a. [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.
[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]
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.
[1913 Webster]
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.
[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] |
Geometrical progression
(gcide) | Geometric \Ge`o*met"ric\, Geometrical \Ge`o*met"ric*al\, a. [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.
[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]
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.
[1913 Webster]
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.
[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]Progression \Pro*gres"sion\, n. [L. progressio: cf. F.
progression.]
[1913 Webster]
1. The act of moving forward; a proceeding in a course;
motion onward.
[1913 Webster]
2. Course; passage; lapse or process of time.
[1913 Webster]
I hope, in a short progression, you will be wholly
immerged in the delices and joys of religion.
--Evelyn.
[1913 Webster]
3. (Math.) Regular or proportional advance in increase or
decrease of numbers; continued proportion, arithmetical,
geometrical, or harmonic.
[1913 Webster]
4. (Mus.) A regular succession of tones or chords; the
movement of the parts in harmony; the order of the
modulations in a piece from key to key.
[1913 Webster]
Arithmetical progression, a progression in which the terms
increase or decrease by equal differences, as the numbers
[lbrace2]2, 4, 6, 8, 1010, 8, 6, 4, 2[rbrace2] by the
difference 2.
[1913 Webster]
Geometrical progression, a progression in which the terms
increase or decrease by equal ratios, as the numbers
[lbrace2]2, 4, 8, 16, 32, 6464, 32, 16, 8, 4, 2[rbrace2]
by a continual multiplication or division by 2.
[1913 Webster]
Harmonic progression, a progression in which the terms are
the reciprocals of quantities in arithmetical progression,
as 1/2, 1/4, 1/6, 1/8, 1/10.
[1913 Webster] |
geometrical proportion
(gcide) | Proportion \Pro*por"tion\, n. [F., fr. L. proportio; pro before
+ portio part or share. See Portion.]
[1913 Webster]
1. The relation or adaptation of one portion to another, or
to the whole, as respect magnitude, quantity, or degree;
comparative relation; ratio; as, the proportion of the
parts of a building, or of the body.
[1913 Webster]
The image of Christ, made after his own proportion.
--Ridley.
[1913 Webster]
Formed in the best proportions of her sex. --Sir W.
Scott.
[1913 Webster]
Documents are authentic and facts are true precisely
in proportion to the support which they afford to
his theory. --Macaulay.
[1913 Webster]
2. Harmonic relation between parts, or between different
things of the same kind; symmetrical arrangement or
adjustment; symmetry; as, to be out of proportion. "Let us
prophesy according to the proportion of faith." --Rom.
xii. 6.
[1913 Webster]
3. The portion one receives when a whole is distributed by a
rule or principle; equal or proper share; lot.
[1913 Webster]
Let the women . . . do the same things in their
proportions and capacities. --Jer. Taylor.
[1913 Webster]
4. A part considered comparatively; a share.
[1913 Webster]
5. (Math.)
(a) The equality or similarity of ratios, especially of
geometrical ratios; or a relation among quantities
such that the quotient of the first divided by the
second is equal to that of the third divided by the
fourth; -- called also geometrical proportion, in
distinction from arithmetical proportion, or that in
which the difference of the first and second is equal
to the difference of the third and fourth.
[1913 Webster]
Note: Proportion in the mathematical sense differs from
ratio. Ratio is the relation of two quantities of the
same kind, as the ratio of 5 to 10, or the ratio of 8
to 16. Proportion is the sameness or likeness of two
such relations. Thus, 5 to 10 as 8 to 16; that is, 5
bears the same relation to 10 as 8 does to 16. Hence,
such numbers are said to be in proportion. Proportion
is expressed by symbols thus:
[1913 Webster] a:b::c:d, or a:b = c:d, or a/b = c/d.
[1913 Webster]
(b) The rule of three, in arithmetic, in which the three
given terms, together with the one sought, are
proportional.
[1913 Webster]
Continued proportion, Inverse proportion, etc. See under
Continued, Inverse, etc.
Harmonical proportion or Musical proportion, a relation
of three or four quantities, such that the first is to the
last as the difference between the first two is to the
difference between the last two; thus, 2, 3, 6, are in
harmonical proportion; for 2 is to 6 as 1 to 3. Thus, 24,
16, 12, 9, are harmonical, for 24:9::8:3.
In proportion, according as; to the degree that. "In
proportion as they are metaphysically true, they are
morally and politically false." --Burke.
[1913 Webster] |
Geometrical radius
(gcide) | Geometric \Ge`o*met"ric\, Geometrical \Ge`o*met"ric*al\, a. [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.
[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]
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.
[1913 Webster]
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.
[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] |
Geometrical square
(gcide) | Square \Square\ (skw[^a]r), n. [OF. esquarre, esquierre, F.
['e]querre a carpenter's square (cf. It. squadra), fr.
(assumed) LL. exquadrare to make square; L. ex + quadrus a
square, fr. quattuor four. See Four, and cf. Quadrant,
Squad, Squire a square.]
1. (Geom.)
(a) The corner, or angle, of a figure. [Obs.]
(b) A parallelogram having four equal sides and four right
angles.
[1913 Webster]
2. Hence, anything which is square, or nearly so; as:
(a) A square piece or fragment.
[1913 Webster]
He bolted his food down his capacious throat in
squares of three inches. --Sir W.
Scott.
[1913 Webster]
(b) A pane of glass.
(c) (Print.) A certain number of lines, forming a portion
of a column, nearly square; -- used chiefly in
reckoning the prices of advertisements in newspapers.
(d) (Carp.) One hundred superficial feet.
[1913 Webster]
3. An area of four sides, generally with houses on each side;
sometimes, a solid block of houses; also, an open place or
area for public use, as at the meeting or intersection of
two or more streets.
[1913 Webster]
The statue of Alexander VII. stands in the large
square of the town. --Addison.
[1913 Webster]
4. (Mech. & Joinery) An instrument having at least one right
angle and two or more straight edges, used to lay out or
test square work. It is of several forms, as the T square,
the carpenter's square, the try-square., etc.
[1913 Webster]
5. Hence, a pattern or rule. [Obs.]
[1913 Webster]
6. (Arith. & Alg.) The product of a number or quantity
multiplied by itself; thus, 64 is the square of 8, for 8
[times] 8 = 64; the square of a + b is a^2 + 2ab +
b^2.
[1913 Webster]
7. Exact proportion; justness of workmanship and conduct;
regularity; rule. [Obs.]
[1913 Webster]
They of Galatia [were] much more out of square.
--Hooker.
[1913 Webster]
I have not kept my square. --Shak.
[1913 Webster]
8. (Mil.) A body of troops formed in a square, esp. one
formed to resist a charge of cavalry; a squadron. "The
brave squares of war." --Shak.
[1913 Webster]
9. Fig.: The relation of harmony, or exact agreement;
equality; level.
[1913 Webster]
We live not on the square with such as these.
--Dryden.
[1913 Webster]
10. (Astrol.) The position of planets distant ninety degrees
from each other; a quadrate. [Obs.]
[1913 Webster]
11. The act of squaring, or quarreling; a quarrel. [R.]
[1913 Webster]
12. The front of a woman's dress over the bosom, usually
worked or embroidered. [Obs.] --Shak.
[1913 Webster]
fair and square in a fair, straightforward, and honest
manner; justly; as, he beat me fair and square.
Geometrical square. See Quadrat, n., 2.
Hollow square (Mil.), a formation of troops in the shape of
a square, each side consisting of four or five ranks, and
the colors, officers, horses, etc., occupying the middle.
Least square, Magic square, etc. See under Least,
Magic, etc.
On the square, or Upon the square,
(a) in an open, fair manner; honestly, or upon honor;
justly. [Obs or Colloq.]
(b) at right angles.
On the square with, or Upon the square with, upon
equality with; even with. --Nares.
To be all squares, to be all settled. [Colloq.] --Dickens.
To be at square, to be in a state of quarreling. [Obs.]
--Nares.
To break no squares, to give no offense; to make no
difference. [Obs.]
To break squares, to depart from an accustomed order.
[Obs.]
To see how the squares go, to see how the game proceeds; --
a phrase taken from the game of chess, the chessboard
being formed with squares. [Obs.] --L'Estrange.
[1913 Webster]Quadrat \Quad"rat\, n. [F. quadrat, cadrat. See Quadrate.]
1. (Print.) A block of type metal lower than the letters, --
used in spacing and in blank lines. [Abbrev. quad.]
[1913 Webster]
2. An old instrument used for taking altitudes; -- called
also geometrical square, and line of shadows.
[1913 Webster] |
geometrical square
(gcide) | Square \Square\ (skw[^a]r), n. [OF. esquarre, esquierre, F.
['e]querre a carpenter's square (cf. It. squadra), fr.
(assumed) LL. exquadrare to make square; L. ex + quadrus a
square, fr. quattuor four. See Four, and cf. Quadrant,
Squad, Squire a square.]
1. (Geom.)
(a) The corner, or angle, of a figure. [Obs.]
(b) A parallelogram having four equal sides and four right
angles.
[1913 Webster]
2. Hence, anything which is square, or nearly so; as:
(a) A square piece or fragment.
[1913 Webster]
He bolted his food down his capacious throat in
squares of three inches. --Sir W.
Scott.
[1913 Webster]
(b) A pane of glass.
(c) (Print.) A certain number of lines, forming a portion
of a column, nearly square; -- used chiefly in
reckoning the prices of advertisements in newspapers.
(d) (Carp.) One hundred superficial feet.
[1913 Webster]
3. An area of four sides, generally with houses on each side;
sometimes, a solid block of houses; also, an open place or
area for public use, as at the meeting or intersection of
two or more streets.
[1913 Webster]
The statue of Alexander VII. stands in the large
square of the town. --Addison.
[1913 Webster]
4. (Mech. & Joinery) An instrument having at least one right
angle and two or more straight edges, used to lay out or
test square work. It is of several forms, as the T square,
the carpenter's square, the try-square., etc.
[1913 Webster]
5. Hence, a pattern or rule. [Obs.]
[1913 Webster]
6. (Arith. & Alg.) The product of a number or quantity
multiplied by itself; thus, 64 is the square of 8, for 8
[times] 8 = 64; the square of a + b is a^2 + 2ab +
b^2.
[1913 Webster]
7. Exact proportion; justness of workmanship and conduct;
regularity; rule. [Obs.]
[1913 Webster]
They of Galatia [were] much more out of square.
--Hooker.
[1913 Webster]
I have not kept my square. --Shak.
[1913 Webster]
8. (Mil.) A body of troops formed in a square, esp. one
formed to resist a charge of cavalry; a squadron. "The
brave squares of war." --Shak.
[1913 Webster]
9. Fig.: The relation of harmony, or exact agreement;
equality; level.
[1913 Webster]
We live not on the square with such as these.
--Dryden.
[1913 Webster]
10. (Astrol.) The position of planets distant ninety degrees
from each other; a quadrate. [Obs.]
[1913 Webster]
11. The act of squaring, or quarreling; a quarrel. [R.]
[1913 Webster]
12. The front of a woman's dress over the bosom, usually
worked or embroidered. [Obs.] --Shak.
[1913 Webster]
fair and square in a fair, straightforward, and honest
manner; justly; as, he beat me fair and square.
Geometrical square. See Quadrat, n., 2.
Hollow square (Mil.), a formation of troops in the shape of
a square, each side consisting of four or five ranks, and
the colors, officers, horses, etc., occupying the middle.
Least square, Magic square, etc. See under Least,
Magic, etc.
On the square, or Upon the square,
(a) in an open, fair manner; honestly, or upon honor;
justly. [Obs or Colloq.]
(b) at right angles.
On the square with, or Upon the square with, upon
equality with; even with. --Nares.
To be all squares, to be all settled. [Colloq.] --Dickens.
To be at square, to be in a state of quarreling. [Obs.]
--Nares.
To break no squares, to give no offense; to make no
difference. [Obs.]
To break squares, to depart from an accustomed order.
[Obs.]
To see how the squares go, to see how the game proceeds; --
a phrase taken from the game of chess, the chessboard
being formed with squares. [Obs.] --L'Estrange.
[1913 Webster]Quadrat \Quad"rat\, n. [F. quadrat, cadrat. See Quadrate.]
1. (Print.) A block of type metal lower than the letters, --
used in spacing and in blank lines. [Abbrev. quad.]
[1913 Webster]
2. An old instrument used for taking altitudes; -- called
also geometrical square, and line of shadows.
[1913 Webster] |
Geometrical staircase
(gcide) | Geometric \Ge`o*met"ric\, Geometrical \Ge`o*met"ric*al\, a. [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.
[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]
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.
[1913 Webster]
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.
[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] |
Geometrical tracery
(gcide) | Geometric \Ge`o*met"ric\, Geometrical \Ge`o*met"ric*al\, a. [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.
[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]
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.
[1913 Webster]
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.
[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] |
Geometrically
(gcide) | Geometrically \Ge`o*met"ric*al*ly\, adv.
According to the rules or laws of geometry.
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Geometrician
(gcide) | Geometrician \Ge*om`e*tri"cian\, n.
One skilled in geometry; a geometer; a mathematician.
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protogeometric
(gcide) | nonrepresentational \nonrepresentational\ adj. (Art)
not intended to realistically represent a physical object; --
of visual art work. Opposite of representational. [Narrower
terms: {abstract, abstractionist, nonfigurative, nonobjective
; {conventional, formal, schematic ; {geometric, geometrical
; protogeometric ; {semiabstract ] Also See: {abstract.
Syn: nonobjective.
[WordNet 1.5] |
Ratio of a geometrical progression
(gcide) | Ratio \Ra"ti*o\ (r[=a]"sh[i^]*[-o] or r[=a]"sh[-o]), n. [L., fr.
reri, ratus, to reckon, believe, think, judge. See Reason.]
1. (Math.) The relation which one quantity or magnitude has
to another of the same kind. It is expressed by the
quotient of the division of the first by the second; thus,
the ratio of 3 to 6 is expressed by 3/6 or 1/2; of a to b
by a/b; or (less commonly) the second term is made the
dividend; as, a:b = b/a.
[1913 Webster]
Note: Some writers consider ratio as the quotient itself,
making ratio equivalent to a number.
[1913 Webster] The term ratio is also sometimes applied
to the difference of two quantities as well as to their
quotient, in which case the former is called
arithmetical ratio, the latter, geometrical ratio. The
name ratio is sometimes given to the rule of three in
arithmetic. See under Rule.
[1913 Webster]
2. Hence, fixed relation of number, quantity, or degree;
rate; proportion; as, the ratio of representation in
Congress.
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Compound ratio, Duplicate ratio, Inverse ratio, etc.
See under Compound, Duplicate, etc.
Ratio of a geometrical progression, the constant quantity
by which each term is multiplied to produce the succeeding
one.
[1913 Webster] |
Ungeometrical
(gcide) | Ungeometrical \Ungeometrical\
See geometrical. |
geometric
(wn) | geometric
adj 1: characterized by simple geometric forms in design and
decoration; "a buffalo hide painted with red and black
geometric designs" [syn: geometric, geometrical]
2: of or relating to or determined by geometry [syn:
geometric, geometrical] |
geometric mean
(wn) | geometric mean
n 1: the mean of n numbers expressed as the n-th root of their
product |
geometric pace
(wn) | geometric pace
n 1: a modern version of the Roman pace now taken to be 5 feet |
geometric progression
(wn) | geometric progression
n 1: (mathematics) a progression in which each term is
multiplied by a constant in order to obtain the next term;
"1-4-16-64-256- is the start of a geometric progression" |
geometric series
(wn) | geometric series
n 1: a geometric progression written as a sum |
geometrical
(wn) | geometrical
adj 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] |
geometrical irregularity
(wn) | geometrical irregularity
n 1: an irregular asymmetry in shape; an irregular spatial
pattern [syn: irregularity, geometrical irregularity] |
geometrical regularity
(wn) | geometrical regularity
n 1: a property of polygons: the property of having equal sides
and equal angles [syn: regularity, {geometrical
regularity}] |
geometrically
(wn) | geometrically
adv 1: with respect to geometry; "this shape is geometrically
interesting"
2: in a geometric fashion; "it grew geometrically" [ant:
linearly] |
geometrician
(wn) | geometrician
n 1: a mathematician specializing in geometry [syn: geometer,
geometrician] |
protogeometric
(wn) | protogeometric
adj 1: characteristic of the earliest phase of geometric art
especially in Greece |
geometric mean
(foldoc) | geometric mean
The Nth root of the product of N numbers.
If each number in a list of numbers was replaced with their
geometric mean, then multiplying them all together would still
give the same result. The geometric mean thus gives an
average "factor" in a context where numbers are multiplied
together, e.g. compound interest.
Wolfram (http://mathworld.wolfram.com/GeometricMean.html).
(2007-03-16)
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