slovodefinícia
cycloid
(encz)
cycloid,cykloida n: Zdeněk Brož
Cycloid
(gcide)
Cycloid \Cy"cloid\ (s?"kloid), n. [Cyclo- + -oid: cf. F.
cyclo["i]de.] (Geom.)
A curve generated by a point in the plane of a circle when
the circle is rolled along a straight line, keeping always in
the same plane.
[1913 Webster]

Note: The common cycloid is the curve described when the
generating point (p) is on the circumference of the
generating circle; the curtate cycloid, when that point
lies without the circumference; the prolate or
inflected cycloid, when the generating point (p) lies
within that circumference.
[1913 Webster]
Cycloid
(gcide)
Cycloid \Cy"cloid\, a. (Zool.)
Of or pertaining to the Cycloidei.
[1913 Webster]

Cycloid scale (Zool.), a fish scale which is thin and shows
concentric lines of growth, without serrations on the
margin.
[1913 Webster]
Cycloid
(gcide)
Cycloid \Cy"cloid\, n. (Zool.)
One of the Cycloidei.
[1913 Webster]
cycloid
(gcide)
Brachystochrone \Bra*chys"to*chrone\, n. [Incorrect for
brachistochrone, fr. Gr. bra`chistos shortest (superl. of
brachy`s short) + ? time : cf. F. brachistochrone. ] (Math.)
A curve, in which a body, starting from a given point, and
descending solely by the force of gravity, will reach another
given point in a shorter time than it could by any other
path. This curve of quickest descent, as it is sometimes
called, is, in a vacuum, the same as the cycloid.
[1913 Webster]
cycloid
(wn)
cycloid
adj 1: resembling a circle [syn: cycloid, cycloidal]
n 1: a line generated by a point on a circle rolling along a
straight line
podobné slovodefinícia
curate cycloid
(encz)
curate cycloid, n:
cycloidal
(encz)
cycloidal,cykloidický adj: Zdeněk Brožcycloidal,cykloidní Zdeněk Brož
epicycloid
(encz)
epicycloid,epicykloida n: Zdeněk Brož
hypocycloid
(encz)
hypocycloid,hypocykloida n: Zdeněk Brož
order exocycloida
(encz)
order Exocycloida, n:
prolate cycloid
(encz)
prolate cycloid, n:
Curtate cycloid
(gcide)
Curtate \Cur"tate\ (k?r"t?t), a. [L. curtatus, p. p. of curtare
to shorten, fr. curtus. See Curt.] (Astron.)
Shortened or reduced; -- said of the distance of a planet
from the sun or earth, as measured in the plane of the
ecliptic, or the distance from the sun or earth to that point
where a perpendicular, let fall from the planet upon the
plane of the ecliptic, meets the ecliptic.
[1913 Webster]

Curtate cycloid. (Math.) See Cycloid.
[1913 Webster]
Cycloid
(gcide)
Cycloid \Cy"cloid\ (s?"kloid), n. [Cyclo- + -oid: cf. F.
cyclo["i]de.] (Geom.)
A curve generated by a point in the plane of a circle when
the circle is rolled along a straight line, keeping always in
the same plane.
[1913 Webster]

Note: The common cycloid is the curve described when the
generating point (p) is on the circumference of the
generating circle; the curtate cycloid, when that point
lies without the circumference; the prolate or
inflected cycloid, when the generating point (p) lies
within that circumference.
[1913 Webster]Cycloid \Cy"cloid\, a. (Zool.)
Of or pertaining to the Cycloidei.
[1913 Webster]

Cycloid scale (Zool.), a fish scale which is thin and shows
concentric lines of growth, without serrations on the
margin.
[1913 Webster]Cycloid \Cy"cloid\, n. (Zool.)
One of the Cycloidei.
[1913 Webster]Brachystochrone \Bra*chys"to*chrone\, n. [Incorrect for
brachistochrone, fr. Gr. bra`chistos shortest (superl. of
brachy`s short) + ? time : cf. F. brachistochrone. ] (Math.)
A curve, in which a body, starting from a given point, and
descending solely by the force of gravity, will reach another
given point in a shorter time than it could by any other
path. This curve of quickest descent, as it is sometimes
called, is, in a vacuum, the same as the cycloid.
[1913 Webster]
Cycloid scale
(gcide)
Cycloid \Cy"cloid\, a. (Zool.)
Of or pertaining to the Cycloidei.
[1913 Webster]

Cycloid scale (Zool.), a fish scale which is thin and shows
concentric lines of growth, without serrations on the
margin.
[1913 Webster]
Cycloidal
(gcide)
Cycloidal \Cy*cloid"al\ (-al), a.
Pertaining to, or resembling, a cycloid; as, the cycloidal
space is the space contained between a cycloid and its base.
[1913 Webster]

Cycloidal engine. See Geometric lathe.
[1913 Webster]
cycloidal engine
(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]Cycloidal \Cy*cloid"al\ (-al), a.
Pertaining to, or resembling, a cycloid; as, the cycloidal
space is the space contained between a cycloid and its base.
[1913 Webster]

Cycloidal engine. See Geometric lathe.
[1913 Webster]
Cycloidal engine
(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]Cycloidal \Cy*cloid"al\ (-al), a.
Pertaining to, or resembling, a cycloid; as, the cycloidal
space is the space contained between a cycloid and its base.
[1913 Webster]

Cycloidal engine. See Geometric lathe.
[1913 Webster]
Cycloidei
(gcide)
Cycloidei \Cy*cloi"de*i\ (s?-kloi"d?-?), n. pl. [NL., fr. Gr.
ky`klos circle + -oid.] (Zool.)
An order of fishes, formerly proposed by Agassiz, for those
with thin, smooth scales, destitute of marginal spines, as
the herring and salmon. The group is now regarded as
artificial.
[1913 Webster]
Cycloidian
(gcide)
Cycloidian \Cy*cloid"i*an\ (s?-kloid"?-an), a. & n. (Zool.)
Same as 2d and 3d Cycloid.
[1913 Webster]
Epicycloid
(gcide)
Epicycloid \Ep`i*cy"cloid\, n. [Epicycle + -oid: cf. F.
['e]picyclo["i]de.] (Geom.)
A curve traced by a point in the circumference of a circle
which rolls on the convex side of a fixed circle.
[1913 Webster]

Note: Any point rigidly connected with the rolling circle,
but not in its circumference, traces a curve called an
epitrochoid. The curve traced by a point in the
circumference of the rolling circle when it rolls on
the concave side of a fixed circle is called a
hypocycloid; the curve traced by a point rigidly
connected with the rolling circle in this case, but not
its circumference, is called a hypotrochoid. All the
curves mentioned above belong to the class class called
roulettes or trochoids. See Trochoid.
[1913 Webster]
Epicycloidal
(gcide)
Epicycloidal \Ep`i*cy*cloid"al\, a.
Pertaining to the epicycloid, or having its properties.
[1913 Webster]

Epicycloidal wheel, a device for producing straight-line
motion from circular motion, on the principle that a pin
fastened in the periphery of a gear wheel will describe a
straight line when the wheel rolls around inside a fixed
internal gear of twice its diameter.
[1913 Webster]
Epicycloidal wheel
(gcide)
Epicycloidal \Ep`i*cy*cloid"al\, a.
Pertaining to the epicycloid, or having its properties.
[1913 Webster]

Epicycloidal wheel, a device for producing straight-line
motion from circular motion, on the principle that a pin
fastened in the periphery of a gear wheel will describe a
straight line when the wheel rolls around inside a fixed
internal gear of twice its diameter.
[1913 Webster]
Hypocycloid
(gcide)
Hypocycloid \Hy`po*cy"cloid\, n. [Pref. hypo- + cycloid: cf. F.
hypocyclo["i]de.] (Geom.)
A curve traced by a point in the circumference of a circle
which rolls on the concave side in the fixed circle. Cf.
Epicycloid, and Trochoid.
[1913 Webster]
Inflected cycloid
(gcide)
Inflected \In*flect"ed\, a.
1. Bent; turned; deflected.
[1913 Webster]

2. (Gram.) Having inflections; capable of, or subject to,
inflection; inflective.
[1913 Webster]

Inflected cycloid (Geom.), a prolate cycloid. See
Cycloid.
[1913 Webster]
Prolate cycloid
(gcide)
Prolate \Pro"late\, a. [L. prolatus, used as p. p. of proferre
to bring forth, to extend; pro + latus, p. p. See Pro-, and
Tolerate. ]
Stretched out; extended; especially, elongated in the
direction of a line joining the poles; as, a prolate
spheroid; -- opposed to oblate.
[1913 Webster]

Prolate cycloid. See the Note under Cycloid.

Prolate ellipsoid or Prolate spheroid (Geom.), a figure
generated by the revolution of an ellipse about its major
axis. Contrasted with oblate spheroid. See {Ellipsoid of
revolution}, under Ellipsoid.
[1913 Webster]
curate cycloid
(wn)
curate cycloid
n 1: a cycloid generated by a point inside the rolling circle
cycloidal
(wn)
cycloidal
adj 1: resembling a circle [syn: cycloid, cycloidal]
epicycloid
(wn)
epicycloid
n 1: a line generated by a point on a circle rolling around
another circle
exocycloida
(wn)
Exocycloida
n 1: flat sea urchins [syn: Exocycloida, order Exocycloida]
hypocycloid
(wn)
hypocycloid
n 1: a line generated by a point on a circle that rolls around
inside another circle
order exocycloida
(wn)
order Exocycloida
n 1: flat sea urchins [syn: Exocycloida, order Exocycloida]
prolate cycloid
(wn)
prolate cycloid
n 1: a cycloid generated by a point outside the rolling circle

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