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Meaning of "trochoid" in the English dictionary

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DICTIONARY
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ETYMOLOGY OF THE WORD TROCHOID

From Greek trokhoeidēs circular, from trokhos wheel.
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Etymology is the study of the origin of words and their changes in structure and significance.
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PRONUNCIATION OF TROCHOID

trochoid  [ˈtrəʊkɔɪd] play
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GRAMMATICAL CATEGORY OF TROCHOID

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Trochoid can act as a noun and an adjective.
A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

The adjective is the word that accompanies the noun to determine or qualify it.

WHAT DOES TROCHOID MEAN IN ENGLISH?

Trochoid

Trochoid derives from the Greek word for wheel, "trokhos". In these sense, the word "trochoid" was coined 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.

Definition of trochoid in the English dictionary

The first definition of trochoid in the dictionary is the curve described by a fixed point on the radius or extended radius of a circle as the circle rolls along a straight line. Other definition of trochoid is rotating or capable of rotating about a central axis. Trochoid is also resembling or functioning as a pivot or pulley.

WORDS THAT RHYME WITH TROCHOID


Betws-y-Coed
ˌbɛtsɪˈkɔɪd
coracoid
ˈkɒrəˌkɔɪd
corticoid
ˈkɔːtɪkɔɪd
cricoid
ˈkraɪkɔɪd
cysticercoid
ˌsɪstɪˈsɜːkɔɪd
discoid
ˈdɪskɔɪd
epitrochoid
ˌɛpɪˈtrəʊkɔɪd
glucocorticoid
ˌɡluːkəʊˈkɔːtɪˌkɔɪd
helicoid
ˈhɛlɪˌkɔɪd
helicoidal
ˈhɛlɪkɔɪd
hypotrochoid
ˌhaɪpəʊˈtrəʊkɔɪd
lumbricoid
ˈlʌmbrɪˌkɔɪd
mineralocorticoid
ˌmɪnərələʊˈkɔːtɪˌkɔɪd
mucoid
ˈmjuːkɔɪd
oniscoid
əˈnɪskɔɪd
phacoid
ˈfækɔɪd
placoid
ˈplækɔɪd
sarcoid
ˈsɑːkɔɪd
scincoid
ˈsɪŋkɔɪd
thylakoid
ˈθaɪləˌkɔɪd

WORDS THAT BEGIN LIKE TROCHOID

trochanteric
troche
trocheameter
trochee
trochelminth
trochili
trochilic
trochilus
trochiscus
trochite
trochlea
trochleae
trochlear nerve
trochoidal
trochoidally
trochometer
trochophore
trochosphere
trochotron
trochus

WORDS THAT END LIKE TROCHOID

acanthoid
anthoid
antityphoid
conchoid
eunuchoid
feldspathoid
haemorrhoid
helminthoid
hemorrhoid
lithoid
lymphoid
ornithoid
paratyphoid
psychoid
rhamphoid
scaphoid
scirrhoid
strophoid
typhoid
xiphoid

Synonyms and antonyms of trochoid in the English dictionary of synonyms

SYNONYMS

Translation of «trochoid» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF TROCHOID

Find out the translation of trochoid to 25 languages with our English multilingual translator.
The translations of trochoid from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «trochoid» in English.

Translator English - Chinese

摆线
1,325 millions of speakers

Translator English - Spanish

trocoide
570 millions of speakers

English

trochoid
510 millions of speakers

Translator English - Hindi

trochoid
380 millions of speakers
ar

Translator English - Arabic

شبيه البكرة
280 millions of speakers

Translator English - Russian

трохоида
278 millions of speakers

Translator English - Portuguese

trochoid
270 millions of speakers

Translator English - Bengali

trochoid
260 millions of speakers

Translator English - French

trochoïde
220 millions of speakers

Translator English - Malay

Trochoid
190 millions of speakers

Translator English - German

Trochoide
180 millions of speakers

Translator English - Japanese

トロコイド
130 millions of speakers

Translator English - Korean

트로코이드
85 millions of speakers

Translator English - Javanese

Trochoid
85 millions of speakers
vi

Translator English - Vietnamese

trochoid
80 millions of speakers

Translator English - Tamil

சில்லுரு
75 millions of speakers

Translator English - Marathi

त्रिकोणाकृती
75 millions of speakers

Translator English - Turkish

trokoid
70 millions of speakers

Translator English - Italian

trocoide
65 millions of speakers

Translator English - Polish

trochoid
50 millions of speakers

Translator English - Ukrainian

трохоіда
40 millions of speakers

Translator English - Romanian

trochoid
30 millions of speakers
el

Translator English - Greek

τριχοειδούς
15 millions of speakers
af

Translator English - Afrikaans

trochoid
14 millions of speakers
sv

Translator English - Swedish

trochoid
10 millions of speakers
no

Translator English - Norwegian

trochoid
5 millions of speakers

Trends of use of trochoid

TRENDS

TENDENCIES OF USE OF THE TERM «TROCHOID»

The term «trochoid» is normally little used and occupies the 119.042 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Little used
45
/100
The map shown above gives the frequency of use of the term «trochoid» in the different countries.
Principal search tendencies and common uses of trochoid
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «trochoid».

FREQUENCY OF USE OF THE TERM «TROCHOID» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «trochoid» during the past 500 years. Its implementation is based on analysing how often the term «trochoid» appears in digitalised printed sources in English between the year 1500 and the present day.

Examples of use in the English literature, quotes and news about trochoid

EXAMPLES

10 ENGLISH BOOKS RELATING TO «TROCHOID»

Discover the use of trochoid in the following bibliographical selection. Books relating to trochoid and brief extracts from same to provide context of its use in English literature.
1
ENGINEERING DRAWING: WITH PRIMER ON AUTOCAD
Trochoid is a curve generated by a point fixed to the rolling circle and is situated either inside or outside the rolling circle. When the tracing point is situated inside the rolling circle the curve generated is called inferior trochoid and when outside  ...
SIDDIQUEE ARSHAD N., ZAHID A. KHAN, MUKHTAR AHMAD, 2004
2
Gear Drive Systems: Design and Application
This shape, which is bounded by the root diameter and the involute, is called a trochoid. In Figure 2.7 the complete curve is shown as a loop on the XT and YT axes. Only that portion of the curve that lies between the involute and root diameter ...
Peter Lynwander, 1983
3
Trochoid
If P lies inside the circle (b a), on its circumference (b = a), or outside (b > a), the trochoid is described as being curtate, common, or prolate, respectively. Parametric equations of the trochoid, which assume L is the x-axis, are
Jesse Russell, Ronald Cohn, 2012
4
Centered Trochoid
High Quality Content by WIKIPEDIA articles! In geometry, a centered trochoid is the roulette formed by a circle rolling along another circle.
Jesse Russell, Ronald Cohn, 2012
5
Hesiod's Anvil: Falling and Spinning Through Heaven and Earth
Some of the most beautiful curves studied in calculus are members of the trochoid family. In the mathematical zoo of the typical calculus text, they are usually presented as the curves that are traced by a tack embedded somewhere in a wheel ...
Andrew J. Simoson, 2007
6
Introduction to Naval Architecture: Formerly Muckle's Naval ...
Orbit centre for surface trochoid r0 Sub-trochoid z r = r0e 2πz – λ x5Rθ À r sin θ z5r cos θ Sub-trochoid Wavelength λ FIGURE 9.3 Sub-trochoids. G In deep water the wave velocity is C, where C25gλ/2π. G The still water surface will be at ...
E. C. Tupper, 2013
7
The Method of Fluxions and Infinite Series; with Its ...
Moreover from the nature of the Trochoid, 'tis Li) =-.__ Arch AL, and therefore v + t =y. And thence (by Prob. I v -+-t =z. Lastly, instead of the Fluxions v and t let their Values be substituted, and there will arise ct_x -_-_-z. Whence (byProb.1.) ...
Sir Isaac Newton, John COLSON (Professor of Mathematics at Cambridge.), 1736
8
The Method of Fluxions And Infinite Series: With Its ...
Moreover from the nature of the Trochoid, 'tis LD — Arch AL, and therefore v-k-t z =.y. A nd thence (by Prob. i)v-+-i=z. Lastly, instead of the Fluxions v and / let their Values be substituted, and there will arise °-~ =zz. Whence (by Prob. 1.) ...
Isaac Newton, John Colson, 1736
9
The Method of Fluxions and Infinite Series: With Its ...
Moreover from the nature of the Trochoid, 'tis LD= Arch AL, and therefore v + t =y. And thence (by Prob. 1 ) v + / = z. Lastly, instead of the Fluxions v and i let their Values be substituted, and there will arise "-=? =& Whence (by Prob. 1.) is de- ...
Sir Isaac Newton, 1736
10
Geometric and Engineering Drawing
Ken Morling. The Trochoid A trochoid is the locus of a point, not on the circumference of a circle but attached to it, when the circle rolls, without slipping, along a straight line. Again, the technique is similar to that used for plotting the cycloid.
Ken Morling, 2012

10 NEWS ITEMS WHICH INCLUDE THE TERM «TROCHOID»

Find out what the national and international press are talking about and how the term trochoid is used in the context of the following news items.
1
Mathematical Impressions: The Bicycle Pulling Puzzle
The trochoid curves remind me of another surprising fact: that, at any instant, some ... Yes, any point at the edge of the flange of a train wheel follows a trochoid ... «Quanta Magazine, Mar 14»
2
The Best Rotary Engine Vehicles You Can Buy
Beyond that, you simply won't get 3 million miles out of one … maybe not even 1 million, regardless of how many times you re-hone the trochoid housing and ... «Gas 2.0, Aug 13»
3
Trochoides Fräsen hat Potenzial
Möglich macht dies ein Fräser mit kleinerem Durchmesser, der mit hoher Drehzahl trochoidförmig bewegt wird, wobei jeder Trochoid weiter in den Schnitt ... «Schweizer Maschinenmarkt, Jul 13»
4
PM2012 World Congress: Automotive transmission gears …
It has been demonstrated that it is possible to reduce root stress in a gear tooth by replacing the cut trochoid root shape with a curve shape defined by a spline ... «Powder Metallurgy Review | ipmd.net, Dec 12»
5
Video: Air Force selects V-Bat unmanned aerial vehicle for contract …
MLB has been involved in a wide variety of projects, ranging from the 15-foot wingspan Volcano to the hand-sized Trochoid. They also provide a variety of ... «Examiner.com, Aug 12»
6
Mazda's rotary engine could be back from the dead, with new …
... to come with is due to the new sealing system that Mazda has developed by changing the shape of the trochoid housing so that it remains true with the seals. «Indian Cars Bikes, Mar 12»
7
Getriebe für den Einsatz in Biegemaschinen
... Hysterese) gehört das RV-1500E nach Angaben des Herstellers zu den leistungsstärksten und präzisesten Trochoid-Reduziergetrieben auf dem Weltmarkt. «MM Maschinenmarkt, Nov 11»
8
Trochoidgetriebe, die präzisen Arbeiter im patentierten Palettiergerät
Fündig wurden die Entwickler bei den Trochoid-Getrieben von Nabtesco. In industriellen Palettiersystemen kommen häufig 3- oder 4-Achs-Knickarmroboter zum ... «Konstruktionspraxis, May 11»
9
Mazda 16X Rotor Dimensions and Technical Details
We know that the 16X uses a new trochoid with greater rotor radius (R) and eccentricity (e) than those of the 10A/12A/13B/RENESIS family, and its rotor width (B ... «RotaryNews.com, Sep 09»
10
New rotary takes flight in India
Fabrication of components and development of a process to coat the rotor housing trochoid had begun by 2005. Test bed trials began shortly afterward. Program ... «RotaryNews.com, May 09»

REFERENCE
« EDUCALINGO. Trochoid [online]. Available <https://educalingo.com/en/dic-en/trochoid>. Apr 2024 ».
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