VS.

Circle vs. Hypocycloid

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Circlenoun

(geometry) A two-dimensional geometric figure, a line, consisting of the set of all those points in a plane that are equally distant from a given point (center).

‘The set of all points (x, y) such that (x-1)2 + y2’; ‘r2 is a circle of radius r around the point (1, 0).’;

Hypocycloidnoun

(geometry) The locus of a point on the circumference of a circle that rolls without slipping inside the circumference of another circle.

Circlenoun

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 (radius) from a given point.

Hypocycloidnoun

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.

Circlenoun

Any thin three-dimensional equivalent of the geometric figures.

‘Put on your dunce-cap and sit down on that circle.’;

Hypocycloidnoun

a line generated by a point on a circle that rolls around inside another circle

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Circlenoun

A curve that more or less forms part or all of a circle.

‘move in a circle’;

Hypocycloid

In geometry, a hypocycloid is a special plane curve generated by the trace of a fixed point on a small circle that rolls within a larger circle. As the radius of the larger circle is increased, the hypocycloid becomes more like the cycloid created by rolling a circle on a line.

Circlenoun

Orbit.

Circlenoun

A specific group of persons; especially one who shares a common interest.

‘inner circle;’; ‘circle of friends’;

Circlenoun

(cricket) 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.

Circlenoun

(Wicca) 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.

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Circlenoun

(South Africa) A traffic circle or roundabout.

Circlenoun

(obsolete) Compass; circuit; enclosure.

Circlenoun

(astronomy) 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.

Circlenoun

A series ending where it begins, and repeating itself.

Circlenoun

(logic) A form of argument in which two or more unproved statements are used to prove each other; inconclusive reasoning.

Circlenoun

Indirect form of words; circumlocution.

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Circlenoun

A territorial division or district.

‘The ten Circles of the Holy Roman Empire were those principalities or provinces which had seats in the German Diet.’;

Circlenoun

(in the plural) A bagginess of the skin below the eyes from lack of sleep.

‘''After working all night, she had circles under her eyes.’;

Circleverb

(transitive) To travel around along a curved path.

Circleverb

(transitive) To surround.

Circleverb

(transitive) To place or mark a circle around.

‘Circle the jobs that you are interested in applying for.’;

Circleverb

(intransitive) To travel in circles.

‘Vultures circled overhead.’;

Circlenoun

A plane figure, bounded by a single curve line called its circumference, every part of which is equally distant from a point within it, called the center.

Circlenoun

The line that bounds such a figure; a circumference; a ring.

Circlenoun

An instrument of observation, the graduated limb of which consists of an entire circle.

Circlenoun

A round body; a sphere; an orb.

‘It is he that sitteth upon the circle of the earth.’;

Circlenoun

Compass; circuit; inclosure.

‘In the circle of this forest.’;

Circlenoun

A company assembled, or conceived to assemble, about a central point of interest, or bound by a common tie; a class or division of society; a coterie; a set.

‘As his name gradually became known, the circle of his acquaintance widened.’;

Circlenoun

A circular group of persons; a ring.

Circlenoun

A series ending where it begins, and repeating itself.

‘Thus in a circle runs the peasant's pain.’;

Circlenoun

A form of argument in which two or more unproved statements are used to prove each other; inconclusive reasoning.

‘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.’;

Circlenoun

Indirect form of words; circumlocution.

‘Has he given the lie,In circle, or oblique, or semicircle.’;

Circlenoun

A territorial division or district.

Circleverb

To move around; to revolve around.

‘Other planets circle other suns.’;

Circleverb

To encompass, as by a circle; to surround; to inclose; to encircle.

‘Their heads are circled with a short turban.’; ‘So he lies, circled with evil.’;

Circleverb

To move circularly; to form a circle; to circulate.

‘Thy name shall circle round the gaping through.’;

Circlenoun

ellipse in which the two axes are of equal length; a plane curve generated by one point moving at a constant distance from a fixed point;

‘he calculated the circumference of the circle’;

Circlenoun

an unofficial association of people or groups;

‘the smart set goes there’; ‘they were an angry lot’;

Circlenoun

something approximating the shape of a circle;

‘the chairs were arranged in a circle’;

Circlenoun

movement once around a course;

‘he drove an extra lap just for insurance’;

Circlenoun

a road junction at which traffic streams circularly around a central island;

‘the accident blocked all traffic at the rotary’;

Circlenoun

street names for flunitrazepan

Circlenoun

a curved section or tier of seats in a hall or theater or opera house; usually the first tier above the orchestra;

‘they had excellent seats in the dress circle’;

Circlenoun

any circular or rotating mechanism;

‘the machine punched out metal circles’;

Circleverb

travel around something;

‘circle the globe’;

Circleverb

move in circles

Circleverb

be around;

‘Developments surround the town’; ‘The river encircles the village’;

Circleverb

form a circle around;

‘encircle the errors’;

Circlenoun

a round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the centre)

‘draw a circle with a compass’;

Circlenoun

something in the shape of a circle

‘the lamp spread a circle of light’; ‘they all sat round in a circle’;

Circlenoun

a dark circular mark below each eye caused by illness or tiredness

‘she was pale and rather beautiful, with dark circles around deep, exhausted eyes’;

Circlenoun

a curved upper tier of seats in a theatre or cinema

‘she sat in the front row of the circle’;

Circlenoun

short for striking circle

Circlenoun

a group of people with a shared profession, interests, or acquaintances

‘she did not normally move in such exalted circles’;

Circleverb

move all the way around (someone or something), especially more than once

‘they were circling Athens airport’; ‘we circled round the island’;

Circleverb

move in a wide loop back towards one's starting point

‘he paced away from her, then circled back’;

Circleverb

form a ring around

‘the abbey was circled by a huge wall’;

Circleverb

draw a line around

‘circle the correct answers’;

Circle

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre; equivalently it is the curve traced out by a point that moves in a plane so that its distance from a given point is constant. The distance between any point of the circle and the centre is called the radius.

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