Definitions for epicycloid
ˌɛp əˈsaɪ klɔɪdepicy·cloid

Princeton's WordNetRate this definition:0.0 / 0 votes

1. epicycloidnoun

   a line generated by a point on a circle rolling around another circle

WiktionaryRate this definition:0.0 / 0 votes

1. epicycloidnoun

   The locus of a point on the circumference of a circle that rolls without slipping on the circumference of another circle.

Samuel Johnson's DictionaryRate this definition:0.0 / 0 votes

1. Epicycloidnoun

   A curve generated by the revolution of the periphery of a circle along the convex or concave part of another circle. John Harris

   Etymology: ἐϖιϰυϰλοείδης.

WikipediaRate this definition:0.0 / 0 votes

1. Epicycloid

   In geometry, an epicycloid is a plane curve produced by tracing the path of a chosen point on the circumference of a circle—called an epicycle—which rolls without slipping around a fixed circle. It is a particular kind of roulette.

ChatGPTRate this definition:0.0 / 0 votes

1. epicycloid

   An epicycloid is a type of geometric shape, specifically a plane curve, that is formed by tracing a point on the circumference of a small circle that rolls without slipping around the outside of a larger fixed circle. Epicycloids and their variations have both practical and theoretical applications in fields such as engineering, physics, and mathematics.

Webster DictionaryRate this definition:0.0 / 0 votes

1. Epicycloidnoun

   a curve traced by a point in the circumference of a circle which rolls on the convex side of a fixed circle

2. Etymology: [Epicycle + -oid: cf. F. picyclode.]

WikidataRate this definition:0.0 / 0 votes

1. Epicycloid

   In geometry, an epicycloid is a plane curve produced by tracing the path of a chosen point of a circle — called an epicycle — which rolls without slipping around a fixed circle. It is a particular kind of roulette. If the smaller circle has radius r, and the larger circle has radius R = kr, then the parametric equations for the curve can be given by either: or: If k is an integer, then the curve is closed, and has k cusps. If k is a rational number, say k=p/q expressed in simplest terms, then the curve has p cusps. If k is an irrational number, then the curve never closes, and forms a dense subset of the space between the larger circle and a circle of radius R + 2r. ⁕Epicycloid Examples ⁕ k = 1 ⁕ k = 2 ⁕ k = 3 ⁕ k = 4 ⁕ k = 2.1 = 21/10 ⁕ k = 3.8 = 19/5 ⁕ k = 5.5 = 11/2 ⁕ k = 7.2 = 36/5 The epicycloid is a special kind of epitrochoid. An epicycle with one cusp is a cardioid. An epicycloid and its evolute are similar.

Dictionary of Nautical TermsRate this definition:0.0 / 0 votes

1. epicycloid

   A geometrical curve generated by making a circle roll upon the circumference of another circle; it is found useful in determining the figure of the teeth of wheel-work, and other purposes in mechanics. If the generating circle proceeds along the convexity of the periphery, it is called an upper or exterior epicycloid; if along the concavity, a lower or interior epicycloid.

Matched Categories

1. • Roulette

How to pronounce epicycloid?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

   Indian

   Zira

   US English

   Oliver

   British

   Wendy

   British

   Fred

   US English

   Tessa

   South African

How to say epicycloid in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of epicycloid in Chaldean Numerology is: 9

2. Pythagorean Numerology

   The numerical value of epicycloid in Pythagorean Numerology is: 2

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=epicycloid
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Epicycloid
3. ^ Samuel Johnson's Dictionary
   https://johnsonsdictionaryonline.com/views/search.php?term=epicycloid
4. ^ Wikipedia
   https://en.wikipedia.org/wiki/Epicycloid
5. ^ ChatGPT
   https://chat.openai.com
6. ^ Webster Dictionary
   https://www.merriam-webster.com/dictionary/epicycloid
7. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=epicycloid
8. ^ Dictionary of Nautical Terms
   https://www.gutenberg.org/cache/epub/26000/pg26000-images.html#:~:text=epicycloid