Copyright © Philip M. Parker, INSEAD. Terms of Use.
Definition: Cycloid |
CycloidAdjective1. Resembling a circle. Noun1. A line generated by a point on a circle rolling along a straight line. Source: WordNet 1.7.1 Copyright © 2001 by Princeton University. All rights reserved. |
Date "cycloid" was first used in popular English literature: sometime before 1686. (references) |
Synonym: CycloidSynonym: cycloidal (adj). (additional references) |
(From Wikipedia, the free Encyclopedia)
The cycloid was first studied by Nicholas of Cusa and later by Mersenne. It was named by Galileo in 1599. In 1634 G.P. de Roberval showed that the area under a cycloid is three times the area of its generating circle. In 1658 Christopher Wren showed that the length of a cycloid is four times the diameter of its generating circle.
The cycloid is the solution to the brachistochrone problem and the related tautochrone problem. The cycloid has been called "The Helen of Geometers" as it caused frequent quarrels among 17th century mathematicians.
Equations (parametric):
Source: adapted by the editor from Wikipedia, the free encyclopedia under a copyleft GNU Free Documentation License (GFDL) from the article "Cycloid."
| Context | Synonyms within Context (source: adapted from Roget's Thesaurus). |
Circularity | Ellipse, oval, ovule; ellipsoid, cycloid; epicycloid, epicycle; semicircle; quadrant, sextant, sector. |
| Source: adapted from Roget's Thesaurus. | |
Crosswords: Cycloid |
| English words defined with "cycloid": Brachystochrone ♦ curate cycloid, Curtate cycloid, Cycloganoidei, Cycloidian, cyprinid, cyprinid fish ♦ Inflected cycloid ♦ Point of concurrence, Prolate cycloid ♦ Tautochrone, Trochoid. (references) |
| Domain | Title |
Books | |
Source: compiled by the editor from various references; see credits. | |
| Thumbnail | Description & Credit |  | "Cycloid" (movie) by Cycloid page. |
Source: pictures compiled by the editor from various references; see picture credits. | |||
| Title | Author | Quote |
Gulliver's Travels | Swift, Jonathan | In the first course there was a shoulder of mutton, cut into an equilateral triangle, a piece of beef into a rhomboides, and a pudding into a cycloid. |
Source: compiled by the editor from various references. | ||
| "Cycloid" is generally used as a noun (singular) -- approximately 83.33% of the time. "Cycloid" is used about 6 times out of a sample of 100 million words spoken or written in English. Its rank is based on over 700,000 words used in the English language. Some parts-of-speech are not covered due to the samples used by the British National Corpus. (note: percents less than one-hundredth of one percent have been omitted) |
| Parts of Speech | Percent | Usage per 100 Million Words | Rank in English |
| Noun (singular) | 83.33% | 5 | 157,705 |
| Adjective (general or positive) | 16.67% | 1 | 339,140 |
| Total | 100.00% | 6 | N/A |
Source: compiled by the editor from several corpora; see credits.
Expressions using "cycloid": curate cycloid ♦ Curtate cycloid ♦ Cycloid scale ♦ Inflected cycloid ♦ prolate cycloid. Additional references. | |
| Source: compiled by the editor from various references; see credits. |
| The following statistics estimate the number of searches per day across the major English-language search engines as identified by various trade publications. Hyperlinks lead to commercial use of the expression at Amazon.com. |
| Expression | Frequency per Day |
cycloid | 14 |
| Source: compiled by the editor from various references; see credits. | |
| Language | Translations for "cycloid"; alternative meanings/domain in parentheses. | ||||||||||||||||||||||||||||||||||||||||
Arabic | الدويري خط منحن على محيط كرة. (various references) | ||||||||||||||||||||||||||||||||||||||||
Bulgarian | циклоида. (various references) | ||||||||||||||||||||||||||||||||||||||||
Chinese | 摆线. (various references) | ||||||||||||||||||||||||||||||||||||||||
Czech | cykloidní. (various references) | ||||||||||||||||||||||||||||||||||||||||
Farsi | منحنی (Bent, Crump, Round), شبیه دایره . (various references) | ||||||||||||||||||||||||||||||||||||||||
French | cycloïde. (various references) | ||||||||||||||||||||||||||||||||||||||||
German | Zykloide, Radlaufkurve. (various references) | ||||||||||||||||||||||||||||||||||||||||
Greek | κυκλοειδήσ (orbital). (various references) | ||||||||||||||||||||||||||||||||||||||||
Hungarian | ciklois. (various references) | ||||||||||||||||||||||||||||||||||||||||
Japanese Kanji | サイクルアンドライド方式 (cycle and ride system, cycle ball, cycle hit, cycle soccer, cycle stock, cycle time, cyclo-C, cyclocytidine). (various references) | ||||||||||||||||||||||||||||||||||||||||
Japanese Katakana | サイクロイド . (various references) | ||||||||||||||||||||||||||||||||||||||||
Manx | kiarkyloid. (various references) | ||||||||||||||||||||||||||||||||||||||||
Pig Latin | ycloidcay ciclóide. (various references) циклоида. (various references) cikloida. (various references) cicloide. (various references) cykloid. (various references) циклоїда. (various references) | ||||||||||||||||||||||||||||||||||||||||
Derivations | |
Words beginning with "cycloid": cycloidal, cycloids. (additional references) | |
Words ending with "cycloid": epicycloid, hypocycloid. (additional references) | |
Words containing "cycloid": epicycloidal, epicycloids, hypocycloids. (additional references) | |
| |
"Cycloid" is suggested in spellcheckers for the following: acylcoa, ciclid, cyclo, cycloidal, cyclotis. (additional references) | |
| Source: compiled by the editor, based on several corpora (additional references). | |
Scrabble® Enable2K-Verified Anagrams | |
| Words within the letters "c-c-d-i-l-o-y" | |
-2 letters: colic, cyclo, doily, dolci. | |
-3 letters: clod, cloy, coil, cold, coly, diol, idly, idol, idyl, lido, loci, odic, odyl, oily, oldy. | |
-4 letters: cod, col, coy, doc, dol, icy, lid, oil, old, yid, yod. | |
-5 letters: do, id, li, lo, od, oy, yo. | |
| Words containing the letters "c-c-d-i-l-o-y" | |
+1 letter: cycloids. | |
+2 letters: cycloidal. | |
+3 letters: codicology, cyclodiene, cyclopedia, cyclopedic, epicycloid, glycosidic. | |
+4 letters: accordingly, codicillary, comedically, conceitedly, cyclodienes, cyclopaedia, cyclopedias, doxycycline, epicycloids, hypocycloid. | |
+5 letters: achlorhydric, cathodically, coincidently, conchoidally, cyclodextrin, cyclopaedias, dicarboxylic, dichotically, doxycyclines, encyclopedia, encyclopedic, epicycloidal, hypocycloids, occidentally, radiolucency. | |
| Source: compiled by the editor from various references; see credits. SCRABBLE® is a registered trademark. All intellectual property rights in and to the game are owned in the U.S.A and Canada by Hasbro Inc., and throughout the rest of the world by J.W. Spear & Sons Limited of Maidenhead, Berkshire, England, a subsidiary of Mattel Inc. Mattel and Spear are not affiliated with Hasbro. | |
| 1. Definition 2. Synonyms 3. Crosswords 4. Usage: Commercial | 5. Images: Photo Album 6. Quotations: Fiction 7. Usage Frequency 8. Expressions | 9. Expressions: Internet 10. Translations: Modern 11. Derivations 12. Anagrams | 13. Bibliography |
Copyright © Philip M. Parker, INSEAD. Terms of Use.
