Skip to main content
cycloid

cycloid

1 9.9
A curve that a point on a circle's edge makes when the circle rolls along a straight line without slipping
  • noun
  • /ˈsaɪklɔɪd/
  • Specialized
translation icon : ciclóide
  • That must mean that the earth's orbit actually follows a very complicated cycloid about the barycenter as the sun follows its smaller path around the barycenter.

Examples

  • Collisions of the electrons with gas molecules cause the electrons to start new cycloids—fortunately always closer to the center of the beam.

    Academic text (2006)
  • It corresponds to a cycloid, and you may not remember what a cycloid is.

  • Maybe on the cycloid would say it's the distance starting from the origin.

  • So that's a cycloid, so you can do more than one roll.

  • Similarly, by the same token, this black dot is describing a sequence of upside down cycloids whose lobes are hanging from the ceiling like this.

  • Lee (23:42:50): That must mean that the Earth's orbit actually follows a very complicated cycloid about the barycenter as the sun follows its smaller path around the barycenter.

    Blog text (30)
  • A cycloid is formed when a circle rolls along a straight line without slipping, tracing an elegant curve.

  • The cycloid's unique shape makes it a subject of interest for many mathematicians studying curves.

  • In physics, the cycloid is important for understanding the motion of objects like rolling wheels.

Compounds

curtate cycloid
  • Specialized
1 9.9

A curved line made by a point inside a circle as the circle rolls along a straight line

prolate cycloid
  • Specialized
9.9

A curved path made by a point outside a rolling circle

Surface Forms

cycloid singular
cycloids plural

Morphology

cycloid = cycle (semi-transparent) = cyclo + oid

Formed from cycl(o)- 'circle' + -oid 'like/resembling'; the technical mathematical meaning (specific curve traced by a rolling circle) is more specialized than a simple 'circle-like' inference.

Etymology

Cycloid comes from an old Greek word for 'circle', with the parts cycl- ('circle') and -oid ('like' or 'shape of'). Think of the tip of a bicycle wheel drawing a line as the wheel rolls — the path of that rolling circle is a cycloid, so the word means a 'circle-like' curve made by a moving circle.