What does trochoid mean?

Definitions for trochoid
ˈtroʊ kɔɪdtro·choid

This dictionary definitions page includes all the possible meanings, example usage and translations of the word trochoid.


Did you actually mean tracheid or tarsioidea?

Wiktionary

  1. trochoidnoun

    The curve traced by a point on a circle as it rolls along a straight line

  2. trochoidadjective

    capable of rolling

  3. trochoidadjective

    allowing rotation

  4. Etymology: From τροχοειδής, from τροχός + εἶδος

Wikipedia

  1. Trochoid

    In geometry, a trochoid (from Greek trochos 'wheel') is a roulette curve formed by a circle rolling along a line. It is the curve traced out by a point fixed to a circle (where the point may be on, inside, or outside the circle) as it rolls along a straight line. If the point is on the circle, the trochoid is called common (also known as a cycloid); if the point is inside the circle, the trochoid is curtate; and if the point is outside the circle, the trochoid is prolate. The word "trochoid" was coined by Gilles de Roberval.

Webster Dictionary

  1. Trochoidnoun

    the curve described by any point in a wheel rolling on a line; a cycloid; a roulette; in general, the curve described by any point fixedly connected with a moving curve while the moving curve rolls without slipping on a second fixed curve, the curves all being in one plane. Cycloids, epicycloids, hypocycloids, cardioids, etc., are all trochoids

  2. Trochoidadjective

    admitting of rotation on an axis; -- sometimes applied to a pivot joint like that between the atlas and axis in the vertebral column

  3. Trochoidadjective

    top-shaped; having a flat base and conical spire; -- said of certain shells

  4. Trochoidadjective

    of or pertaining to the genus Trochus or family Trochidae

Wikidata

  1. Trochoid

    Trochoid is the word created by Gilles de Roberval for the curve described by a fixed point as a circle rolls along a straight line. As a circle of radius a rolls without slipping along a line L, the center C moves parallel to L, and every other point P in the rotating plane rigidly attached to the circle traces the curve called the trochoid. Let CP = b. If P lies inside the circle, on its circumference, or outside, the trochoid is described as being curtate, common, or prolate, respectively. Parametric equations of the trochoid, which assume L is the x-axis, are where θ is the variable angle through which the circle rolls. A curtate trochoid is traced by a pedal when a bicycle is pedaled along a straight line. A prolate, or extended trochoid is traced by the tip of a paddle when a boat is driven with constant velocity by paddle wheels; this curve contains loops. A common trochoid, also called a cycloid, has cusps at the points where P touches the L. A more general approach would define a trochoid as the locus of a point orbiting at a constant rate around an axis located at, which axis is being translated in the x-y-plane at a constant rate in either a straight line,

Chambers 20th Century Dictionary

  1. Trochoid

    trō′koid, n. the curve traced by a fixed point in a wheel which rolls in a right line.—adjs. Trō′choid, -al. [Gr. trochæidēs, round like a wheel—trochos, wheel, eidos, form.]

Dictionary of Nautical Terms

  1. trochoid

    A geometrical curve, resulting from a circle being made to run along a right line, whence the French designate it roulette. But if a circle be made to roll along the circumference of another circle, it becomes an epicycloid (which see).

How to pronounce trochoid?

How to say trochoid in sign language?

Numerology

  1. Chaldean Numerology

    The numerical value of trochoid in Chaldean Numerology is: 6

  2. Pythagorean Numerology

    The numerical value of trochoid in Pythagorean Numerology is: 2

Translation

Find a translation for the trochoid definition in other languages:

Select another language:

  • - Select -
  • 简体中文 (Chinese - Simplified)
  • 繁體中文 (Chinese - Traditional)
  • Español (Spanish)
  • Esperanto (Esperanto)
  • 日本語 (Japanese)
  • Português (Portuguese)
  • Deutsch (German)
  • العربية (Arabic)
  • Français (French)
  • Русский (Russian)
  • ಕನ್ನಡ (Kannada)
  • 한국어 (Korean)
  • עברית (Hebrew)
  • Gaeilge (Irish)
  • Українська (Ukrainian)
  • اردو (Urdu)
  • Magyar (Hungarian)
  • मानक हिन्दी (Hindi)
  • Indonesia (Indonesian)
  • Italiano (Italian)
  • தமிழ் (Tamil)
  • Türkçe (Turkish)
  • తెలుగు (Telugu)
  • ภาษาไทย (Thai)
  • Tiếng Việt (Vietnamese)
  • Čeština (Czech)
  • Polski (Polish)
  • Bahasa Indonesia (Indonesian)
  • Românește (Romanian)
  • Nederlands (Dutch)
  • Ελληνικά (Greek)
  • Latinum (Latin)
  • Svenska (Swedish)
  • Dansk (Danish)
  • Suomi (Finnish)
  • فارسی (Persian)
  • ייִדיש (Yiddish)
  • հայերեն (Armenian)
  • Norsk (Norwegian)
  • English (English)

Word of the Day

Would you like us to send you a FREE new word definition delivered to your inbox daily?

Please enter your email address:


Citation

Use the citation below to add this definition to your bibliography:

Style:MLAChicagoAPA

"trochoid." Definitions.net. STANDS4 LLC, 2024. Web. 19 Mar. 2024. <https://www.definitions.net/definition/trochoid>.

Discuss these trochoid definitions with the community:

0 Comments

    Are we missing a good definition for trochoid? Don't keep it to yourself...

    Image or illustration of

    trochoid

    Credit »

    Free, no signup required:

    Add to Chrome

    Get instant definitions for any word that hits you anywhere on the web!

    Free, no signup required:

    Add to Firefox

    Get instant definitions for any word that hits you anywhere on the web!

    Browse Definitions.net

    Quiz

    Are you a words master?

    »
    (music) a curved line spanning notes that are to be played legato
    A slur
    B taper
    C auspices
    D preponderance

    Nearby & related entries:

    Alternative searches for trochoid: