Log in or Sign up
  1. cycloid love

Definitions

American Heritage® Dictionary of the English Language, Fourth Edition

  1. adj. Resembling a circle.
  2. adj. Zoology Thin, rounded, and smooth-edged; disklike. Used of fish scales.
  3. adj. Zoology Having or composed of such scales.
  4. adj. Psychiatry Afflicted with or relating to cyclothymia.
  5. n. Mathematics The curve traced by a point on the circumference of a circle that rolls on a straight line.
  6. n. Zoology A fish having cycloid scales.

Century Dictionary and Cyclopedia

  1. Resembling a circle; having a circular form.
  2. Specifically In ichthyology: More or less circular, with concentric striations: applied to the scales of certain fishes. See cut under scale.
  3. Having somewhat circular scales, as a fish; specifically, pertaining to the Cycloidei.
  4. n. A curve generated by a point in the circumference or on a radius of a circle when the circle is rolled along a straight line and kept always in the same plane. When the point is in the circumference of the generating circle the curve generated is the common cycloid; when it is within the circle the curve is a prolate cycloid; and when it is on a radius produced beyond the circle the curve is a curtate cycloid. The cycloid is of great importance in relation to the theory of wave-motion.
  5. n. In ichthyology, a cycloid fish; a fish with cycloid scales, or one of the Cycloidei.
  6. In chem., containing a cycle or ring of atoms: used especially of the structure of organic compounds.

Wiktionary

  1. n. geometry The locus of a point on the circumference of a circle that rolls without slipping on a fixed straight line.
  2. n. zoology A fish having cycloid scales.
  3. adj. Resembling a circle; cycloidal.
  4. adj. zoology (of fish scales) Thin and rounded, with smooth edges.

GNU Webster's 1913

  1. n. (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.
  2. adj. (Zoöl.) Of or pertaining to the Cycloidei.
  3. n. (Zoöl.) One of the Cycloidei.

WordNet 3.0

  1. adj. resembling a circle
  2. n. a line generated by a point on a circle rolling along a straight line

Etymologies

  1. French cycloïde, from Greek kukloeidēs, circular : kuklos, circle; -oeidēs, -oid. (American Heritage® Dictionary of the English Language, Fourth Edition)

Examples

  • “8.13 A Beautiful Curve ∗ One of the most wonderful curves I can think of, and one that had a great in fl uence on me in my youth, is called a cycloid, which is the locus ∗ ∗ of a fi xed point on the circumference of a circle as it rolls, without slipping, along a straight line (Figure 8.8).”

    Recently Uploaded Slideshows

  • “A cycloid is a curve traced by a point in the circumference of a wheel when the wheel is rolled along in a straight line.”

    II. Osteology. 6c. 3. The Femur

  • “Newton solved it correctly; he showed that the curve was a part of what is termed a cycloid -- that is to say, a curve like that which is described by a point on the rim of a carriage-wheel as the wheel runs along the ground.”

    Great Astronomers

  • “The fine-grained assemblage is dominated by tabular, low-density elements, such as cycloid scales and fish vertebrae.”

    CONGRATS LAURA!!!

  • “A curve described in space by a point of a circle or sphere, which itself is carried along at the same time, is some kind of cycloid; if the centre of the tracing circle travels along a straight line, we get the ordinary cycloid, the curve traced in air by a nail on a coach-wheel; but if the centre of the tracing circle be carried round another circle the curve described is called an epicycloid.”

    Pioneers of Science

  • “He published works on the arithmetical triangle, on wagers and the theory of probabilities, and on the roulette or cycloid.”

    Blaise Pascal

  • “It is the first of the three hypotheses from which Huygens develops his theory of “falling heavy bodies and their motion in a cycloid” in his Horologium Oscillatorium of 1673: If there were no gravity, and if the air did not impede the motion of bodies, then any body will continue its given motion with uniform velocity in a straight line.”

    Newton's Philosophiae Naturalis Principia Mathematica

  • “Another is the famous brachistochrone problem in which a ball rolls down a curve a cycloid that gives the minimum time of travel.”

    Thermodynamics, Again - The Panda's Thumb

  • “Lips.an. 1695 — to these a lead weight is an eternal balance, and keeps watch as well as a couple of centinels, inasmuch as the construction of them was a curve line approximating to a cycloid — if not a cycloid itself.”

    The Life and Opinions of Tristram Shandy, Gentleman

Lists

These user-created lists contain the word ‘cycloid’.

Comments

Log in or sign up to get involved in the conversation. It's quick and easy.

  • duckbill Used in the sense of 'manic-depressive' in some literature. Apr 24, 2011

Tweets

Looking for tweets for cycloid.

‘cycloid’ has been looked up 1498 times, added to 11 lists, commented on 1 time, and has a Scrabble score of 15.