triangle

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triangle
top: right triangle
bottom: equilateral triangle

tri·an·gle

(trī′ăng′gəl)
n.
1.
a. The plane figure formed by connecting three points not in a straight line by straight line segments; a three-sided polygon.
b. Something shaped like such a figure: a triangle of land.
2. Any of various flat, three-sided drawing and drafting guides, used especially to draw straight lines at specific angles.
3. Music A percussion instrument consisting of a piece of metal in the shape of a triangle open at one angle.
4. A relationship involving three people, especially a ménage à trois.

[Middle English, from Old French, from Latin triangulum, from neuter of triangulus, three-angled : tri-, tri- + angulus, angle.]

triangle

(ˈtraɪˌæŋɡəl)
n
1. (Mathematics) geometry a three-sided polygon that can be classified by angle, as in an acute triangle, or by side, as in an equilateral triangle. Sum of interior angles: 180°; area: base × height
2. any object shaped like a triangle
3. any situation involving three parties or points of view. See also eternal triangle
4. (Instruments) music a percussion instrument consisting of a sonorous metal bar bent into a triangular shape, beaten with a metal stick
5. a group of three
[C14: from Latin triangulum (noun), from triangulus (adjective), from tri- + angulus corner]
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

tri•an•gle

art at tribrach
(ˈtraɪˌæŋ gəl)

n.
1. a closed plane figure having three sides and three angles.
2. a flat triangular piece with straight edges, used in connection with a T square for drawing perpendicular lines, geometric figures, etc.
3. any three-cornered or three-sided figure, object, or piece: a triangle of land.
4. a musical percussion instrument that consists of a steel triangle, open at one corner, that is struck with a steel rod.
5. a group of three; triad.
6. a situation involving three persons, esp. one in which two of them are in love with the third.
[1350–1400; Middle English < Latin triangulum, n. use of neuter of triangulus three-cornered. See tri-, angle1]
triangle
The area (A) of a triangle can be calculated using the following formula: A = 1/2 bh.

tri·an·gle

(trī′ăng′gəl)
A closed geometric figure consisting of three sides.

Triangle

a set of three.
Example: long wavering triangle of waterfowl, 1895.
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 triangle - a three-sided polygon    polygon, polygonal shape - a closed plane figure bounded by straight sidesacute triangle, acute-angled triangle - a triangle whose interior angles are all acuteequiangular triangle, equilateral triangle - a three-sided regular polygonisosceles triangle - a triangle with two equal sidesoblique triangle - a triangle that contains no right angleobtuse triangle, obtuse-angled triangle - a triangle that contains an obtuse interior angleright triangle, right-angled triangle - a triangle with one right anglescalene triangle - a triangle with no two sides of equal lengthcuneus, wedge, wedge shape - any shape that is triangular in cross section 2 triangle - something approximating the shape of a triangle; "the coastline of Chile and Argentina and Brazil forms two legs of a triangle"shape, form - the spatial arrangement of something as distinct from its substance; "geometry is the mathematical science of shape" 3 Triangle - a small northern constellation near Perseus between Andromeda and AriesTriangulum 4 triangle - any of various triangular drafting instruments used to draw straight lines at specified anglesdrafting instrument - an instrument used by a draftsman in making drawings 5 triangle - a percussion instrument consisting of a metal bar bent in the shape of an open trianglepercussion instrument, percussive instrument - a musical instrument in which the sound is produced by one object striking another
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
Translations
مُثَلَّثمُثَلَّث موسيقي
triangltrojúhelník
trekanttriangel
triangulo
kolmiotriangeli
trokuttriangl
háromszögtriangulum
òríhornòríhyrningurþríhornþríhyrningur
トライアングル三角形
삼각형트라이앵글
triangulum
trikampis
trijstūris
triangel
trikotniktriangel
triangeltrehörningtrekant
กิ๋ง เครื่องดนตรีรูปสามเหลี่ยมสามเหลี่ยม
üçgentriangelüç köşe
hình tam giáckẻng ba gốc

triangle

[ˈtraɪæŋgl] N (also Mus) →
Collins Spanish Dictionary - Complete and Unabridged 8th Edition 2005 © William Collins Sons & Co. Ltd. 1971, 1988 © HarperCollins Publishers 1992, 1993, 1996, 1997, 2000, 2003, 2005

triangle

[ˈtraɪæŋgəl] n
(MATHEMATICS)
(MUSIC)
Collins English/French Electronic Resource. © HarperCollins Publishers 2005

triangle

nDreieck nt; (= set square)(Zeichen)dreieck nt; (Mus) → Triangel m; (fig: = relationship) → Dreiecksbeziehung f
Collins German Dictionary – Complete and Unabridged 7th Edition 2005. © William Collins Sons & Co. Ltd. 1980 © HarperCollins Publishers 1991, 1997, 1999, 2004, 2005, 2007

triangle

[ˈtraɪˌæŋgl] n (Math, Mus) → triangolo
Collins Italian Dictionary 1st Edition © HarperCollins Publishers 1995

triangle

(ˈtraiӕŋgl) noun
1. a two-dimensional figure with three sides and three angles.
2. a musical instrument consisting of a triangular metal bar that is struck with a small hammer.
in the shape of a triangle. a triangular road-sign; It is triangular in shape.
Kernerman English Multilingual Dictionary © 2006-2013 K Dictionaries Ltd.

triangle

triangl, trojúhelník trekant, triangel kolmio, triangeli triangl, trokut トライアングル, 三角形 삼각형, 트라이앵글 triangel กิ๋ง เครื่องดนตรีรูปสามเหลี่ยม, สามเหลี่ยม hình tam giác, kẻng ba gốc
Multilingual Translator © HarperCollins Publishers 2009

tri·an·gle

n. triángulo.
English-Spanish Medical Dictionary © Farlex 2012
References in periodicals archive ?
Table 1 Discretized gauge PC matrices theories Consistency 0-holonomy Consistency in 0-holonomy on the 3 x 3 matrices border of a 2-simplex [[DELTA].sub.2] Koczkodaj's sup d(Hol([partial derivative] inconsistency [[DELTA].sub.2]), [1.sub.G]) indicator ii when [[DELTA].sub.2] is any 2-simplex of the triangulation Minimization ?
For a 1-simplex A, the degenerate 2-simplex [s.sub.0](A) should be a morphism AA [right arrow] IA in C, so it will be available if we require that, instead of being mere objects A of C, each 1-simplex be equipped with a morphism m: [A.sup.2] [right arrow] A.
As a further possibility, we can use the above construction to associate a simplicial set [M.sub.3] to the monoidal category [bar.C], obtained from C by keeping the same monoidal product but replacing the braiding c with [c.sup.-1], and using the twisted multiplication m.[c.sup.-1] for a 1-simplex (that is, semigroup) (A, m), so that in particular the degenerate 2-simplex [s.aub.0](A, m) is given by m.[c.sup.-1].
1 shows, using the 2-d case as example, the geometrical construction of the barycentric coordinate [[lambda].sub.1] associated to a point u within a 2-simplex (triangle).
Note that barycentric coordinates can represent any point u inside, say, a 2-simplex [[u.sub.1], [u.sub.2], [u.sub.3]] in terms of its boundary nodes, that is
Since elements for each normalized scattering vector are summed to one, pixels are represented by points in the standard 2-simplex in [R.sub.3].
For example, a 0-simplex is a vertex, a 1-simplex a line segment, a 2-simplex a solid triangle, and a 3-simplex a solid tetrahedron.
For each pair of elements ([alpha], [beta]) [member of] [[pi].sub.1](X) x [[pi].sub.1](X) we consider a singular 2-simplex r([alpha], [beta]):[[DELTA].sub.2] [right arrow] X such that the edges [0,1], [1,2] and [0,2] map according to r([alpha]), r([beta]) and r([alpha][beta]).

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