Circle vs Hyperbolic - What's the difference?
circle | hyperbolic |
(lb) A two-dimensional geometric figure, a line, consisting of the set of all those points in a plane that are equally distant from another point.
:The set of all points (x'', ''y'') such that (x-1)2 + y2 = r2 is a circle of radius ''r around
A two-dimensional geometric figure, a disk, consisting of the set of all those points of a plane at a distance less than or equal to a fixed distance from another point.
Any thin three-dimensional equivalent of the geometric figures.
:
A curve that more or less forms part or all of a circle.
:
Orbit.
A specific group of persons.
:
* (1800-1859)
*:As his name gradually became known, the circle of his acquaintance widened.
*
*:At half-past nine on this Saturday evening, the parlour of the Salutation Inn, High Holborn, contained most of its customary visitors.In former days every tavern of repute kept such a room for its own select circle , a club, or society, of habitués, who met every evening, for a pipe and a cheerful glass.
*
*:“I don't mean all of your friends—only a small proportion—which, however, connects your circle with that deadly, idle, brainless bunch—the insolent chatterers at the opera, the gorged dowagers,, the jewelled animals whose moral code is the code of the barnyard—!"
*1922 , (Margery Williams), (The Velveteen Rabbit)
*:The Rabbit could not claim to be a model of anything, for he didn’t know that real rabbits existed; he thought they were all stuffed with sawdust like himself, and he understood that sawdust was quite out-of-date and should never be mentioned in modern circles .
(lb) A line comprising two semicircles of 30 yards radius centred on the wickets joined by straight lines parallel to the pitch used to enforce field restrictions in a one-day match.
(lb) A ritual circle that is cast three times deosil and closes three times widdershins either in the air with a wand or literally with stones or other items used for worship.
(lb) A traffic circle or roundabout.
*2011 , Charles E. Webb, Downfall and Freedom , p.120:
*:He arrived at the lakefront and drove around the circle where the amusement park and beach used to be when he was a kid
(lb) Compass; circuit; enclosure.
*(William Shakespeare) (c.1564–1616)
*:in the circle of this forest
(lb) An instrument of observation, whose graduated limb consists of an entire circle. When fixed to a wall in an observatory, it is called a mural circle''; when mounted with a telescope on an axis and in Y's, in the plane of the meridian, a ''meridian'' or ''transit circle''; when involving the principle of reflection, like the sextant, a ''reflecting circle''; and when that of repeating an angle several times continuously along the graduated limb, a ''repeating circle .
A series ending where it begins, and repeating itself.
*(John Dryden) (1631-1700)
*:Thus in a circle runs the peasant's pain.
(lb) A form of argument in which two or more unproved statements are used to prove each other; inconclusive reasoning.
*(Joseph Glanvill) (1636-1680)
*:That heavy bodies descend by gravity; and, again, that gravity is a quality whereby a heavy body descends, is an impertinent circle and teaches nothing.
Indirect form of words; circumlocution.
* (1579-1625)
*:Has he given the lie, / In circle , or oblique, or semicircle.
A territorial division or district.
:
To travel around along a curved path.
* Alexander Pope
To surround.
* Dampier
* Coleridge
To place or mark a circle around.
To travel in circles.
of or relating to hyperbole
using hyperbole: exaggerated
* {{quote-news
, year=2012
, date=May 20
, author=Nathan Rabin
, title=TV: Review: THE SIMPSONS (CLASSIC): “Marge Gets A Job” (season 4, episode 7; originally aired 11/05/1992)
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Of or pertaining to a hyperbola.
* 1988 , R. F. Leftwich, "Wide-Band Radiation Thermometers", chapter 7 of, David P. DeWitt and Gene D. Nutter, editors, Theory and Practice of Radiation Thermometry , ISBN 0471610186, page 512 [http://books.google.com/books?id=SZ6Ldatd7OAC&pg=PA512&dq=hyperbolic]:
(mathematics, of a, metric space, or, a geometry) Having negative curvature or sectional curvature.
* 1998', Katsuhiko Matsuzaki and Masahiko Taniguchi, '''''Hyperbolic Manifolds and Kleinian Groups , 2002 reprint, , ISBN 0198500629, page 8, proposition 0.10 [http://books.google.com/books?id=DLAGEBfEgEUC&pg=PA8&dq=hyperbolic]:
(geometry, topology, of an automorphism) Whose domain has two (possibly ideal) fixed points joined by a line mapped to itself by translation.
* 2001 , A. F. Beardon, "The Geometry of Riemann Surfaces", in, E. Bujalance, A. F. Costa and E. Martínez, editors, Topics on Riemann Surfaces and Fuchsian Groups , , ISBN 0521003504, page 6 [http://books.google.com/books?id=RjbQdcP7DgwC&pg=PA6&dq=hyperbolic]:
(topology) Of, pertaining to or in a hyperbolic space (a space having negative curvature or sectional curvature).
* 2001 , A. F. Beardon, "The Geometry of Riemann Surfaces", in, E. Bujalance, A. F. Costa and E. Martínez, editors, Topics on Riemann Surfaces and Fuchsian Groups , , ISBN 0521003504, page 6 [http://books.google.com/books?id=RjbQdcP7DgwC&pg=PA6&dq=hyperbolic]:
As a noun circle
is (lb) a two-dimensional geometric figure, a line, consisting of the set of all those points in a plane that are equally distant from another point.As a verb circle
is to travel around along a curved path.As an adjective hyperbolic is
of or relating to hyperbole or hyperbolic can be of or pertaining to a hyperbola.circle
English
(wikipedia circle)Noun
(en noun)Synonyms
* (two-dimensional outline geometric figure) coil (not in mathematical use), ring (not in mathematical use), loop (not in mathematical use) * (two-dimensional solid geometric figure) disc/disk (in mathematical and general use), round (not in mathematical use; UK & Commonwealth only ) * (curve) arc, curve * (orbit) orbit * (a specific group of persons) bunch, gang, groupDerived terms
* arctic circleVerb
(circl)- Other planets circle other suns.
- Their heads are circled with a short turban.
- So he lies, circled with evil.
- Circle the jobs that you are interested in applying for.
- Vultures circled overhead.
Derived terms
* circle the drainAnagrams
* 1000 English basic wordshyperbolic
English
Alternative forms
* hyperbolick (obsolete)Etymology 1
Adjective
(en adjective)- This hyperbolical epitaph. — Fuller.
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Etymology 2
Adjective
(-)- In this configuration the on-axis image is produced at the real hyperbolic focus (fs2) but off-axis performance suffers.
- The hyperbolic cosine of zero is one.
- There is a universal constant such that every hyperbolic' surface has an embedded ' hyperbolic disk with radius greater than .
- A hyperbolic isometry has two (distinct) fixed points on .
- Exactly one hypercycle is a hyperbolic geodesic, and this is called the axis of .