Random word

Cycloid is an English word with synonyms like cycloidal or rounded. Below you'll find 10+ example sentences showing how it's used in practice.

Rare word

Cycloid in a sentence

Related words

Cycloid | Cycloidal

Cycloid meaning

  1. The locus of a point on the circumference of a circle that rolls without slipping on a fixed straight line.
  2. A fish having cycloid scales.

Synonyms of Cycloid

cycloidal rounded roulette line roulette

Related words

Other words often associated with Cycloid or its synonyms:

curve circular ringed wheel fat annular prolate

Using Cycloid

  • The main meaning on this page is: The locus of a point on the circumference of a circle that rolls without slipping on a fixed straight line. | A fish having cycloid scales.
  • Useful related words include: cycloidal, rounded, roulette, line roulette.
  • In the example corpus, cycloid often appears in combinations such as: the cycloid, cycloid and, of cycloid.

Context around Cycloid

  • Average sentence length in these examples: 25.5 words
  • Position in the sentence: 1 start, 8 middle, 3 end
  • Sentence types: 12 statements, 0 questions, 0 exclamations

Often before:

inverted 1× term 1× silver 1×

Often after:

using 1× scales 1×

Sentence patterns with Cycloid

These short patterns come directly from the example sentences and show how the word is often embedded:

an inverted cycloid such that 1× arc of cycloid in p2 1× concerning the cycloid 1× definition of cycloid and the 1× of the cycloid and the 1× of the cycloid i 1× of the cycloid in his 1× of the cycloid using an 1×

Sentence openings and endings

Common sentence openings:

also his contribution 1× beginning with the 1× between 1658 and 1× galileo originated the 1× he then showed 1× if a simple 1×

Common sentence endings:

characteristic silver color 1× concerning the cycloid 1× in geometric progression 1× of the curve 1× on the cycloid 1× p1p2 is tangent 1×

Words around Cycloid

Just before it in the word index:

cyclohexane 5 cyclogenesis 4 cyclodextrin 4 cyclocross 7 cycloalkanes 5 cyclo 6

Just after it in the word index:

cycloidal 3 cyclone 483 cyclones 293 cyclonic 53 cyclonis 2 cyclooctadiene 3

Similar in corpus frequency:

aami 15 aat 15 abada 15 abcs 15 abdulkareem 15 abha 15

Corpus analysis for Cycloid

  • In this selection, "cycloid" usually appears in the middle of the sentence. The average example has 25.5 words, and this corpus slice is mostly made up of statements.
  • Around the word, inverted, term, silver, using and scales stand out and add context to how "cycloid" is used.
  • Recognizable usage signals include an inverted cycloid such that and arc of cycloid in p2. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "cycloid" sits close to words such as aami, aat and abada, which helps place it inside the broader word index.

Example types with cycloid

The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:

Short example sentences

He then showed, in 1696, that the cycloid is the solution to the brachistochrone problem. (15 words)

Galileo originated the term cycloid and was the first to make a serious study of the curve. (17 words)

Because V2 is tangent to the arc of cycloid in P2, it follows that also P1P2 is tangent. (18 words)

Longer example sentences

If a simple pendulum is suspended from the cusp of an inverted cycloid, such that the "string" is constrained between the adjacent arcs of the cycloid, and the pendulum's length is equal to that of half the arc length of the cycloid (i. (44 words)

Also his contribution to mathematics should be noted; in 1658, he found the length of an arc of the cycloid using an exhaustion proof based on dissections to reduce the problem to summing segments of chords of a circle which are in geometric progression. (44 words)

Beginning with the work of Moritz Cantor and Siegmund Günther, scholars now assign priority to French mathematician Charles de Bovelles based on his description of the cycloid in his Introductio in geometriam, published in 1503. (35 words)

Example sentences (12)

If a simple pendulum is suspended from the cusp of an inverted cycloid, such that the "string" is constrained between the adjacent arcs of the cycloid, and the pendulum's length is equal to that of half the arc length of the cycloid (i.

Also his contribution to mathematics should be noted; in 1658, he found the length of an arc of the cycloid using an exhaustion proof based on dissections to reduce the problem to summing segments of chords of a circle which are in geometric progression.

Because V2 is tangent to the arc of cycloid in P2, it follows that also P1P2 is tangent.

Beginning with the work of Moritz Cantor and Siegmund Günther, scholars now assign priority to French mathematician Charles de Bovelles based on his description of the cycloid in his Introductio in geometriam, published in 1503.

Between 1658 and 1659 he wrote on the cycloid and its use in calculating the volume of solids.

Galileo originated the term cycloid and was the first to make a serious study of the curve.

He then showed, in 1696, that the cycloid is the solution to the brachistochrone problem.

In 1658, Blaise Pascal had given up mathematics for theology but, while suffering from a toothache, began considering several problems concerning the cycloid.

Advertentie

It has large, reflective, silver cycloid scales that are responsible for giving the Quillback its characteristic silver color.

The 17th-century Dutch mathematician Christiaan Huygens discovered and proved these properties of the cycloid while searching for more accurate pendulum clock designs to be used in navigation.

The one presented here uses the physical definition of cycloid and the kinematic property that the instantaneous velocity of a point is tangent to its trajectory.

This result and others were published by Torricelli in 1644, which is also the first printed work on the cycloid.

Advertentie

Common combinations with cycloid

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "cycloid" in a sentence?
An example: "If a simple pendulum is suspended from the cusp of an inverted cycloid, such that the "string" is constrained between the adjacent arcs of the cycloid, and the pendulum's length is equal to that of half the arc length of the cycloid (i." This page contains 10+ example sentences with the word "cycloid" from authentic English texts.
What does "cycloid" mean?
Cycloid means: The locus of a point on the circumference of a circle that rolls without slipping on a fixed straight line.
What are synonyms of "cycloid"?
Common synonyms of "cycloid" include: cycloidal, rounded, roulette, line roulette.
How many example sentences with "cycloid" are there?
Voorbeeldzinnen.info contains at least 10+ example sentences with "cycloid", drawn from a database of millions of English sentences.