cycloid

American  

[sahy-kloid] / ˈsaɪ klɔɪd /

adjective

1. resembling a circle; circular.

2. (of the scale of a fish) smooth-edged, more or less circular in form, and having concentric striations.

3. (of a fish) having such scales.

4. Psychiatry. of or noting a personality type characterized by wide fluctuation in mood within the normal range.

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noun

1. a cycloid fish.

2. Geometry. a curve generated by a point on the circumference of a circle that rolls, without slipping, on a straight line.

cycloid British  

/ ˈsaɪklɔɪd /

adjective

1. resembling a circle

2. (of fish scales) rounded, thin, and smooth-edged, as those of the salmon

3. psychiatry (of a type of personality) characterized by exaggerated swings of mood between elation and depression See also cyclothymia

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noun

1. geometry the curve described by a point on the circumference of a circle as the circle rolls along a straight line Compare trochoid

2. a fish that has cycloid scales

cycloid Scientific  

/ sī′kloid′ /

1. Resembling a circle.

2. Thin, rounded, and smooth-edged, like a disk. Used of fish scales.

3. The curve traced by a point on the circumference of a circle that rolls on a straight line.

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Other Word Forms

• cycloidal
  adjective
• cycloidally
  adverb

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Etymology

Origin of cycloid

First recorded in 1655–65, cycloid is from the Greek word kykloeidḗs like a circle. See cycl-, -oid

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Example Sentences

See Examples For:

cycloid

Kahn played with natural light in the Fort Worth building, suffused with skylights, reflectors and cycloid barrel vaults.

From New York Times ● May 4, 2022

Use Green’s theorem to find the area under one arch of the cycloid given by parametric plane x = t − sin t, y = 1 − cos t, t ≥ 0.

From Textbooks ● Mar. 30, 2016

Figure 1.9 A wheel traveling along a road without slipping; the point on the edge of the wheel traces out a cycloid.

From Textbooks ● Mar. 30, 2016

Figure 7.9 A wheel traveling along a road without slipping; the point on the edge of the wheel traces out a cycloid.

From Textbooks ● Mar. 30, 2016

If the Colonel had inquired about hexameter verse or the volume of the cycloid, he might have obtained perhaps prompt and correct answers.

From The Story of the Raising and Organization of a Regiment of Volunteers in 1862 Military Order of the Loyal Legion of the United States, Commandery of the District of Columbia, War Papers 46 by Ellis Spear

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