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Meaning of "Lissajous figure" in the English dictionary

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ETYMOLOGY OF THE WORD LISSAJOUS FIGURE

Named after Jules A. Lissajous (1822–80), French physicist.
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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 LISSAJOUS FIGURE

Lissajous figure  [ˈliːsəˌʒuː] play
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GRAMMATICAL CATEGORY OF LISSAJOUS FIGURE

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Lissajous figure is a noun.
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.

WHAT DOES LISSAJOUS FIGURE MEAN IN ENGLISH?

Lissajous figure

Lissajous curve

In mathematics, a Lissajous curve /ˈlɪsəʒuː/, also known as Lissajous figure or Bowditch curve /ˈbaʊdɪtʃ/, is the graph of a system of parametric equations which describe complex harmonic motion. This family of curves was investigated by Nathaniel Bowditch in 1815, and later in more detail by Jules Antoine Lissajous in 1857. The appearance of the figure is highly sensitive to the ratio a/b. For a ratio of 1, the figure is an ellipse, with special cases including circles and lines. Another simple Lissajous figure is the parabola. Other ratios produce more complicated curves, which are closed only if a/b is rational. The visual form of these curves is often suggestive of a three-dimensional knot, and indeed many kinds of knots, including those known as Lissajous knots, project to the plane as Lissajous figures. Visually, the ratio a/b determines the number of "lobes" of the figure. For example, a ratio of 3/1 or 1/3 produces a figure with three major lobes. Similarly, a ratio of 5/4 produces a figure with 5 horizontal lobes and 4 vertical lobes.

Definition of Lissajous figure in the English dictionary

The definition of Lissajous figure in the dictionary is a curve traced out by a point that undergoes two simple harmonic motions in mutually perpendicular directions. The shape of these curves is characteristic of the relative phases and frequencies of the motion; they are used to determine the frequencies and phases of alternating voltages.

WORDS THAT RHYME WITH LISSAJOUS FIGURE


acajou
ˈækəˌʒuː
baju
ˈbɑːdʒuː
bijou
ˈbiːʒuː
carcajou
ˈkɑːkəˌdʒuː
Cheju
ˈtʃɛˈdʒuː
Gujju
ˌɡʊdˈdʒuː
Jew
dʒuː
juju
ˈdʒuːdʒuː
kinkajou
ˈkɪŋkəˌdʒuː
Kwangju
ˈkwæŋˈdʒuː
non-Jew
ˌnɒnˈdʒuː
sajou
səˈdʒuː
sapajou
ˈsæpəˌdʒuː
shinju
ˈʃɪndʒuː
sucuruju
ˌsuːkʊrʊˈʒuː

WORDS THAT BEGIN LIKE LISSAJOUS FIGURE

Lisboa
Lisbon
Lisburn
Lisieux

WORDS THAT END LIKE LISSAJOUS FIGURE

action figure
configure
cult figure
cut a good figure
cut a poor figure
disfigure
double-figure
father figure
figure
go figure
hourglass figure
index figure
ligure
prefigure
reconfigure
refigure
single-figure
solid figure
stick figure
terminal figure
transfigure

Synonyms and antonyms of Lissajous figure in the English dictionary of synonyms

SYNONYMS

Translation of «Lissajous figure» into 25 languages

TRANSLATOR
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TRANSLATION OF LISSAJOUS FIGURE

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

Translator English - Chinese

李萨如图形
1,325 millions of speakers

Translator English - Spanish

figura de Lissajous
570 millions of speakers

English

Lissajous figure
510 millions of speakers

Translator English - Hindi

lissajous आंकड़ा
380 millions of speakers
ar

Translator English - Arabic

الرقم Lissajous
280 millions of speakers

Translator English - Russian

фигура Лиссажу
278 millions of speakers

Translator English - Portuguese

figura de Lissajous
270 millions of speakers

Translator English - Bengali

Lissajous চিত্র
260 millions of speakers

Translator English - French

figure de Lissajous
220 millions of speakers

Translator English - Malay

Angka Lissajous
190 millions of speakers

Translator English - German

Lissajous-Figur
180 millions of speakers

Translator English - Japanese

リサジューの図形
130 millions of speakers

Translator English - Korean

리사 주 그래프
85 millions of speakers

Translator English - Javanese

Tokoh Lissajous
85 millions of speakers
vi

Translator English - Vietnamese

con số lissajous
80 millions of speakers

Translator English - Tamil

லிசாஜோஸ் எண்ணிக்கை
75 millions of speakers

Translator English - Marathi

Lissajous आकृती
75 millions of speakers

Translator English - Turkish

Lissajous figür
70 millions of speakers

Translator English - Italian

figura di Lissajous
65 millions of speakers

Translator English - Polish

figura Lissajous
50 millions of speakers

Translator English - Ukrainian

фігура Ліссажу
40 millions of speakers

Translator English - Romanian

figura Lissajous
30 millions of speakers
el

Translator English - Greek

Lissajous σχήμα
15 millions of speakers
af

Translator English - Afrikaans

Lissajous figuur
14 millions of speakers
sv

Translator English - Swedish

Lissajous figur
10 millions of speakers
no

Translator English - Norwegian

Lissajous figur
5 millions of speakers

Trends of use of Lissajous figure

TRENDS

TENDENCIES OF USE OF THE TERM «LISSAJOUS FIGURE»

The term «Lissajous figure» is used very little and occupies the 184.855 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Rarely used
14
/100
The map shown above gives the frequency of use of the term «Lissajous figure» in the different countries.
Principal search tendencies and common uses of Lissajous figure
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «Lissajous figure».

FREQUENCY OF USE OF THE TERM «LISSAJOUS FIGURE» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «Lissajous figure» during the past 500 years. Its implementation is based on analysing how often the term «Lissajous figure» 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 Lissajous figure

EXAMPLES

10 ENGLISH BOOKS RELATING TO «LISSAJOUS FIGURE»

Discover the use of Lissajous figure in the following bibliographical selection. Books relating to Lissajous figure and brief extracts from same to provide context of its use in English literature.
1
Vibrations and Waves
2-12 Construction of a Lissajous figure. In Fig. 2-12 we show the construction that one can make ifco2 = 2co!and S = ir/4. We have chosen to divide the reference circle for the motion of frequency o>2 into eight equal time intervals, i.e., into arcs  ...
A.P. French, 1971
2
Introductory Course on Theory and Practice of Mechanical ...
1.13 is known as Lissajous figure. These figures prove useful in interpreting oscillograph records, which may depict the actual motion of a point on a vibrating structure or a machine, for example, a shaft undergoing whirl due to unbalance ...
J. S. Rao, Dr. K. Gupta, 1999
3
The Physics of Waves and Oscillations
The beam falls on a fluorescent screen on which the Lissajous figure corresponding to the resultant motion can be seen. If the frequencies of the electrical oscillations are not exactly in a simple ratio, the figure will be seen to change its form ...
N. K. Bajaj, 1988
4
Mathematical Methods of Classical Mechanics
wound around the cylinder onto the x,, x2 plane gives the desired orbit, called a Lissajous figure. Lissajous figures can conveniently be seen on an oscilloscope which displays independent harmonic oscillations on the horizontal and vertical ...
V.I. Arnol'd, 1989
5
Technical Mathematics
When the parametric equations of a point describe simple harmonic motion, the resulting curve is called a Lissajous figure. When voltages of different frequencies are applied to the vertical and horizontal plates of an oscilloscope, a Lissajous ...
John Peterson, 2012
6
Understanding Pendulums: A Brief Introduction
A consistent definition of the phase, , of a Lissajous figure can be obtained by definition of for two extreme cases as follows. A Lissajous figure is in phase ( D 0ı ) when cusps appear, and this is sometimes called the cusped phase, for example ...
L. P. Pook, 2011
7
Oscillations, Waves and Acoustics
When a particle has superimposed upon it two mutually perpendicular simple harmonic motions simultaneously, the resultant path of the particle is known as a Lissajous figure. 3. When two simple harmonic vibrations of equal time periods act ...
P. K. Mittal, 2010
8
ELECTRONIC INSTRUMENTATION, 3E
If one frequency is an integral multiple (harmonic) of the other, the pattern will be stationary, and is called a Lissajous figure. In this method of measurement a standard frequency is applied to one set of deflection plates of the CRT tube while ...
KALSI, 2012
9
FUNDAMENTALS OF ELECTRICAL AND ELECTRONICS ENGINEERING
The frequency of this oscillator is varied until a single-looped or two-looped or three-looped or complex Lissajous figure is obtained. In case the single-loop stationary pattern is obtained, the frequency of the sinusoidal voltage is the same as ...
SMARAJIT GHOSH, 2007
10
Nonlinear Electromagnetic Systems: Proceedings of the ...
In order to show that the output signal from B-coils does not dependent on the exciting voltage wave form, we show the Lissajous figure of the exciting voltage in Figure 5. The oval Lissajous figure of the exciting voltage is caused by that the  ...
A. J. Moses, A. Basak, 1996

2 NEWS ITEMS WHICH INCLUDE THE TERM «LISSAJOUS FIGURE»

Find out what the national and international press are talking about and how the term Lissajous figure is used in the context of the following news items.
1
The missing memristor found
for a sinusoidal input is generally a frequency-dependent Lissajous figure, and no combination of nonlinear resistive, capacitive and inductive components can ... «Nature.com, May 08»
2
Crikey competition: design a new logo for the ABC
Lissajous figure is the parabola (a/b = 2, δ = π/2). Other ratios produce more complicated curves, which are closed only if a/b is rational. «Crikey, Jan 08»

REFERENCE
« EDUCALINGO. Lissajous figure [online]. Available <https://educalingo.com/en/dic-en/lissajous-figure>. May 2024 ».
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