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Meaning of "circumcircle" in the English dictionary

Dictionary
DICTIONARY
section

PRONUNCIATION OF CIRCUMCIRCLE

circumcircle  [ˈsɜːkəmˌsɜːkəl] play
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GRAMMATICAL CATEGORY OF CIRCUMCIRCLE

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Circumcircle 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 CIRCUMCIRCLE MEAN IN ENGLISH?

Circumscribed circle

In geometry, the circumscribed circle or circumcircle of a polygon is a circle which passes through all the vertices of the polygon. The center of this circle is called the circumcenter and its radius is called the circumradius. A polygon which has a circumscribed circle is called a cyclic polygon. All regular simple polygons, isosceles trapezoids, all triangles and all rectangles are cyclic. A related notion is the one of a minimum bounding circle, which is the smallest circle that completely contains the polygon within it. Not every polygon has a circumscribed circle, as the vertices of a polygon do not need to all lie on a circle, but every polygon has a unique minimum bounding circle, which may be constructed by a linear time algorithm. Even if a polygon has a circumscribed circle, it may not coincide with its minimum bounding circle; for example, for an obtuse triangle, the minimum bounding circle has the longest side as diameter and does not pass through the opposite vertex.

Definition of circumcircle in the English dictionary

The definition of circumcircle in the dictionary is a circle that transects the vertices of a polygon.

WORDS THAT RHYME WITH CIRCUMCIRCLE


anisocercal
ænˌaɪsəʊˈsɜːkəl
cercal
ˈsɜːkəl
circle
ˈsɜːkəl
debacle
deɪˈbɑːkəl
diphycercal
ˌdɪfɪˈsɜːkəl
ducal
ˈdjuːkəl
encircle
ɪnˈsɜːkəl
fecal
ˈfiːkəl
furcal
ˈfɜːkəl
heterocercal
ˌhɛtərəʊˈsɜːkəl
homocercal
ˌhəʊməʊˈsɜːkəl
leptocercal
ˌlɛptəʊˈsɜːkəl
Merkel
ˈmɜːkəl
novercal
nəʊˈvɜːkəl
patriarchal
ˌpeɪtrɪˈɑːkəl
recircle
riːˈsɜːkəl
semicircle
ˈsɛmɪˌsɜːkəl
snorkel
ˈsnɔːkəl
sparkle
ˈspɑːkəl
Trakl
ˈtrɑːkəl

WORDS THAT BEGIN LIKE CIRCUMCIRCLE

circumambiency
circumambient
circumambiently
circumambulate
circumambulation
circumambulator
circumambulatory
circumbendibus
circumcenter
circumcentre
circumcise
circumciser
circumcision
circumduce
circumduct
circumduction
circumductory
circumference
circumferential
circumferentially

WORDS THAT END LIKE CIRCUMCIRCLE

Arctic Circle
come full circle
crop circle
dress circle
family circle
golden circle
great circle
half-circle
inner circle
Magic Circle
pitch circle
small circle
social circle
squared circle
stone circle
traffic circle
tubercle
turning circle
vicious circle
virtuous circle
winner´s circle

Synonyms and antonyms of circumcircle in the English dictionary of synonyms

SYNONYMS

Translation of «circumcircle» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF CIRCUMCIRCLE

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

Translator English - Chinese

外接圆
1,325 millions of speakers

Translator English - Spanish

circumcircle
570 millions of speakers

English

circumcircle
510 millions of speakers

Translator English - Hindi

परिवृत्त
380 millions of speakers
ar

Translator English - Arabic

circumcircle
280 millions of speakers

Translator English - Russian

окружность
278 millions of speakers

Translator English - Portuguese

circunferência
270 millions of speakers

Translator English - Bengali

circumcircle
260 millions of speakers

Translator English - French

circonscrit
220 millions of speakers

Translator English - Malay

Circumcircle
190 millions of speakers

Translator English - German

Umkreis
180 millions of speakers

Translator English - Japanese

外接円
130 millions of speakers

Translator English - Korean

외접원
85 millions of speakers

Translator English - Javanese

Circumcircle
85 millions of speakers
vi

Translator English - Vietnamese

tròn
80 millions of speakers

Translator English - Tamil

சுற்றுவட்டத்தின்
75 millions of speakers

Translator English - Marathi

आच्छादन
75 millions of speakers

Translator English - Turkish

circumcircle
70 millions of speakers

Translator English - Italian

circoscritto
65 millions of speakers

Translator English - Polish

circumcircle
50 millions of speakers

Translator English - Ukrainian

окружність
40 millions of speakers

Translator English - Romanian

circumscris
30 millions of speakers
el

Translator English - Greek

περιγεγραμμένο
15 millions of speakers
af

Translator English - Afrikaans

omgeskrewe
14 millions of speakers
sv

Translator English - Swedish

omskrivna
10 millions of speakers
no

Translator English - Norwegian

omskrevne
5 millions of speakers

Trends of use of circumcircle

TRENDS

TENDENCIES OF USE OF THE TERM «CIRCUMCIRCLE»

The term «circumcircle» is normally little used and occupies the 139.465 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Little used
35
/100
The map shown above gives the frequency of use of the term «circumcircle» in the different countries.
Principal search tendencies and common uses of circumcircle
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «circumcircle».

FREQUENCY OF USE OF THE TERM «CIRCUMCIRCLE» OVER TIME

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

EXAMPLES

10 ENGLISH BOOKS RELATING TO «CIRCUMCIRCLE»

Discover the use of circumcircle in the following bibliographical selection. Books relating to circumcircle and brief extracts from same to provide context of its use in English literature.
1
Geometričeskie svojstva krivyh vtorogo porâdka
... the ellipse that passes through the vertices of the triangle and has its center at the intersection point of the medians. It is the image of the circumcircle of an equilateral triangle under the affine transformation that sends it to the triangle ABC. 4.
Arseny V. Akopyan, Alexy A. Zaslavskiĭ
2
Geometry in Action: A Discovery Approach Using the ...
One of the most common Euclidean constructions is that of the circle that passes through three such points. They form a triangle, of which the circle is called the circumcircle. Suppose ABC is a triangle. If we can find a point whose distances ...
Clark Kimberling, 2003
3
Game Development Tool Essentials
y-t.p2.y) mx1 = (t.p1.x + t.p2.x) / 2.0 mx2 = (t.p2.x + t.p3.x) / 2.0 my1 = (t.p1.y + t.p2. y) / 2.0 my2 = (t.p2.y + t.p3.y) / 2.0 circumCircle.x = (m1 * mx1 - m2 * mx2 + my2 - my1) / (m1 - m2) circumCircle.y = m1 * (circumCircle.x - mx1) + my1 ) --check on ...
Paula Berinstein, Remi Arnaud, Alessandro Ardolino, 2014
4
Triangulations and Applications
Example showing that choosing the diagonal with the minimum length violates the circle criterion. triangulation of the points of Q. Then, by Lemma 3.1, p3 cannot be inside the circumcircle of t1,2,4. ⊓⊔ In the neutral case, the endpoints of the ...
Øyvind Hjelle, Morten Dæhlen, 2006
5
Guide to Computational Geometry Processing: Foundations, ...
14.4 It is seen that a circumcircle of ei cannot be constructed such that it contains neither pi or pj The concepts of Delaunay triangles and Delaunay edges are connected, since Lemma 14.1 For a given triangulation T of the point set P, all the  ...
J. Andreas Bærentzen, Jens Gravesen, François Anton, 2012
6
CoVis 3: Visual Representaion of three-dimensional Data and ...
Figure 4.12: Two triangles, fulfilling the circumcircle criterion It is very important to distinguish whether a point lies within the circumcircle or on the circumcircle. For the circumcircle criterion there can be other points on the circumcircle. There is ...
Danyel Merkert, 2002
7
CRC Concise Encyclopedia of Mathematics, Second Edition
442 Circumcircle circumcircle. Circumference When an arbitrary point P is taken on the circumcircle, then the feet Pj. P2. and P3 of the perpendiculars from P to the sides (or their extensions) of the TRIANGLE are COLLINEAR on a line called  ...
Eric W. Weisstein, 2002
8
Companion to the weekly problem papers intended for the use ...
circle can conveniently be constructed from the fact that if KLJSL parallel to the major axis meet the ellipse in L, and if KM = 2KL, then M lies on the circumcircle ( see Art. 106). Any triangle inscribed in the cireumcircle and circumscribed to the ...
John James Milne, Robert Frederic Davis, Robert William Genese, 1888
9
LEDA: A Platform for Combinatorial and Geometric Computing
Assume that the triangulation corresponding to the chord pr is not Delaunay, say because s is contained in the circumcircle of triangle A(/?, q, r). Then q is also contained in the circumcircle of triangle A(p, r, s). We can obtain the circumcircle of ...
Kurt Mehlhorn, Stefan Näher, 1999
10
Advances in Robot Kinematics: Analysis and Design: Analysis ...
From brevity, Ai B⊥i is used to represent the perpendicular to Ai Bi passing through Ai , and circumcircle A is used to denote the circumcircle of points A1, A 2 and A3. 1. Equations (7) and (31) are satisfied (Case 2a). Considering that the base ...
Jadran Lenarčič, Philippe Wenger, 2008

3 NEWS ITEMS WHICH INCLUDE THE TERM «CIRCUMCIRCLE»

Find out what the national and international press are talking about and how the term circumcircle is used in the context of the following news items.
1
Quantitative Aptitude
The radius of the circumcircle of a right angled triangle is 15 cm and the radius of its inscribed circle is 6 cm. Find the sides of the triangle. (a) 30 ... «PaGaLGuY, May 15»
2
Heads down for the Junior Cert
... constructing a triangle, dividing a line segment into parts, constructing the circumcircle of a triangle and constructing the in-circle of a triangle. «Irish Times, Apr 12»
3
Opinion: Beauty In Triangles
Such a triangulation always exists but is only unique if no more than 3 vertices exist on each circumcircle. For example, if 4 points form a square ... «Gamasutra, Oct 11»

REFERENCE
« EDUCALINGO. Circumcircle [online]. Available <https://educalingo.com/en/dic-en/circumcircle>. Jul 2019 ».
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