Copyright © Philip M. Parker, INSEAD. Terms of Use.
Definition: Triangle |
TriangleNoun1. A three-sided polygon. 2. Any of various triangular drafting instruments used to draw straight lines at specified angles. 3. A percussion instrument consisting of a metal bar bent in the shape of an open triangle. Source: WordNet 1.7.1 Copyright © 2001 by Princeton University. All rights reserved. |
Date "triangle" was first used in popular English literature: sometime before 1321. (references) |
Etymology: Triangle \Tri"an`gle\, noun. [Latin expression triangulum, from triangulus triangular; tri- (see Tri-) angulus angle: compare to the French expression triangle. See Angle corner.]. (references) |
| Domain | Definition |
Dream Interpretation | To dream of a triangle, foretells separation from friends, and love affairs will terminate in disagreements. Source: Ten Thousand Dreams Interpreted .... |
Fine Arts | Steel rods bent into the form of equilateral triangles; they are sounded with an iron rod. Source: European Union. (references) |
| Hold the tripod feet in sockets and thus prevent them from sliding apart on smooth surfaces. Source: European Union. (references) | |
Source: compiled by the editor from various references; see credits. | |
(From Wikipedia, the free Encyclopedia)
The Sierpinski triangle, also called the Sierpinski gasket, is a fractal, named after Waclaw Sierpinski.An algorithm for obtaining arbitrarily close approximations to the Sierpinski triangle is as follows:
The actual fractal is what would be obtained after an infinite number of iterations. More formally, one describes it in terms of functions on closed sets of points. If we let d_a note the dilation by a factor of 1/2 about a point a, then the Sierpinski triangle with corners a, b, and c is the fixed set of the transformation d_a U d_b U d_c.
- Start with any triangle in a plane. The canonical Sierpinski triangle uses an equilateral triangle with a base parallel to the horizontal axis.
- Shrink the triangle by 1/2, make three copies, and translate them so that each triangle touches the two other triangles at a corner.
- Repeat step 2 with each of the smaller triangles.
This is an attractive fixed set, so that when the operation is applied to any other set repeatedly, the images converge on the Sierpinski triangle. This is what is happening with the triangle above, but any other set would suffice.
If one takes a point and applies each of the transformations d_a, d_b, and d_c to it randomly, the resulting points will be dense in the Sierpinski triangle, so the following algorithm will again generate arbitrarily close approximations to it:
Start by labelling p1, p2 and p3 as the corners of the Sierpinski triangle, and a random point v1. Set vn+1 = ½ ( vn + prn ), where rn is a random number 1, 2 or 3. Draw the points v1 to v∞. If the original point vn was a point on the Sierpinski triangle, then all the points vn lie on the Sierpinski triangle. If the first point vn to lie within the perimiter of the triangle is not a point on the Sierpinski triangle, none of the points vn will lie on the Sierpinski triangle, however they will converge on the triangle. If v1 is outside the triangle, the only way vn will land on the actual triangle, is iff vn is on what would be part of the triangle, if the triangle was infinitely large.
The Sierpinski triangle has Hausdorff dimension log(3)/log(2) ≈ 1.585, which follows from the fact that it is a union of three copies of itself, each scaled by a factor of 1/2.
If one starts with Pascal's triangle with 2^n rows and colors the even numbers white, and the odd numbers black, the result is an approximation to the Sierpinski's triangle. This calculation is actually a manifestation of elementary cellular automaton rule 90.
Sierpinski triangle of eight iterationsSee also:
- Sierpinski carpet, a similar construction of rectangles
External Links
- Article explaining Sierpinski's Triangle created with a bitwise XOR (example program in Macromedia Flash ActionScript)
- Article explaining Sierpinski's Triangle created with the Chaos Game (example program in Macromedia Flash ActionScript)
Source: adapted by the editor from Wikipedia, the free encyclopedia under a copyleft GNU Free Documentation License (GFDL) from the article "Sierpinski triangle."
(From Wikipedia, the free Encyclopedia)
This article is about the geometric shape; for the musical instrument, see triangle (instrument).
A triangle is one of the basic shapes of geometry: a two-dimensional figure with three vertices and three sides which are straight line segments.
Types of triangles
Triangles can be classified according to their side lengths: a triangle is called
Triangles can also be classified according to the size of their largest angle: a triangle is called
- equilateral if all its sides have the same length (or equivalently: all its angles are equal)
- isosceles if (at least) two of its sides have the same length (or equivalently: two of its angles are equal)
- scalene if all its sides have different lengths (or equivalently: all its angles are different)
- right if one of its angles is a right angle (90 degrees or π/2 radians). The side opposite the right angle is called the hypotenuse. It is the longest side in the right triangle.
- obtuse if one angle is bigger than a right one
- acute if each angle is smaller than a right one
Basic facts
A triangle is a polygon and a 2-simplex (see polytope).
Two triangles are said to be similar if one can be produced by uniformly expanding the other. In this case, the lengths of their sides are proportional. That is, if the longest side of a triangle is twice that of the longest side of a similar triangle, say, then the shortest side will also be twice that of the shortest side of the other triangle, and the median side will be twice that of the other triangle. Also, the ratio of the longest side to the shortest in the first triangle will be the same as the ratio of the longest side to the shortest in the other triangle. The crucial fact is that two triangles are similar if and only if their corresponding angles are equal, and this occurs for example when two triangles share an angle and the sides opposite to that angle are parallel.
Using right triangles and the concept of similarity, the trigonometric functions sine and cosine can be defined. These are functions of an angle which are investigated in trigonometry.
In the sequel, we will consider a triangle with vertices A, B and C, angles α, β and γ and sides a, b and c. The side a is opposite to the vertex A and angle α and analogously for the other sides.
The sum of the angles α + β + γ is equal to two right angles (180 degrees or π radians). This allows to determine the third angle of any triangle as soon as two angles are known.
A central theorem is the Pythagorean theorem stating that in any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. If γ is the right angle, we can write this as
This means that knowing the lengths of two sides of a right triangle is enough to calculate the length of the third -- something unique to right triangles. The Pythagorean theorem can be generalized to the law of cosines:
which is valid for all triangles, even if γ is not a right angle. The law of cosines can be used to compute the side lengths and angles of a triangle as soon as all three sides or two sides and an enclosed angle are known.
The law of sines states
which can be used to compute the side lengths for a triangle as soon as two angles and one side are known. If two sides and an unenclosed angle is known, the law of sines may also be used; however, in this case there may be zero, one or two solutions.
Points, lines and circles associated with a triangle
A perpendicular bisector of a triangle is a straight line passing through the midpoint of a side and being perpendicular to it, i.e. forming a right angle with it. The three perpendicular bisectors meet in a single point, the triangle's circumcenter; this point is the center of the circumcircle, the circle passing through all three vertices. The diameter of this circle is given by a/sin(α).
Thales' theorem states that if the circumcenter is located on one side of the triangle, then the opposite angle is a right one. More is true: if the circumcenter is located inside the triangle, then the triangle is acute; if the circumcenter is located outside the triangle, then the triangle is obtuse.
An altitude of a triangle is a straight line through a vertex and perpendicular to (i.e. forming a right angle with) the opposite side. This opposite side is called the base of the altitude, and the point where the altitude intersects the base (or its extension) is called the foot of the altitude. The length of the altitude is the distance between the base and the vertex. The three altitudes intersect in a single point, called the orthocenter of the triangle. The orthocenter lies inside the triangle if and only if the triangle is not obtuse. The three vertices together with the orthocenter are said to form an orthocentric system.
An angle bisector of a triangle is a straight line through a vertex which cuts the corresponding angle in half. The three angle bisectors intersect in a single point; this point is the center of the triangle's incircle, the circle which lies inside the triangle and touches all three sides. There are three other important circles, the excircles; they lie outside the triangle and touch one side as well as the extensions of the other two. The centers of the in- and excircles form an orthocentric system.
A median of a triangle is a straight line through a vertex and the midpoint of the opposite side. The three medians intersect in a single point, the triangle's centroid. This is also the triangle's center of gravity: if the triangle were made out of wood, say, you could balance it on its centroid, or on any line through the centroid. The centroid cuts every median in the ratio 2:1, i.e. the distance between a vertex and the centroid is twice as large as the distance between the centroid and the midpoint of the opposite side.
The midpoints of the three sides and the feet of the three altitudes all lie on a single circle, the triangle's nine point circle. Its radius is half that of the circumcircle. It touches the incircle and the three excircles.
The centroid, orthocenter, circumcenter and center of the nine point circle (but not necessarily the center of the incircle) all lie on a single line, known as Euler's line. The center of the nine point circle lies at the midpoint between the orthocenter and the circumcenter, and the distance between the centroid and the circumcenter is half that between the centroid and the orthocenter.
If one reflects a median at the angle bisector that passes through the same vertex, one obtains a symmedian. The three symmedians intersect in a single point, the symmedian point of the triangle.
Computing the area of a triangle
The area S of a triangle can be computed in several ways. The most commonly used formula is:
where the altitute can be chosen arbitrarily. This formula shows that in the figure
- S = 1/2 × base × altitude
the two triangles ABC1 and ABC2 have the same area, since the lines AB and C1C2 are parallel.
Another way to compute S is Heron's formula:
where s = 1/2 (a + b + c) is one half of the triangle's perimeter.
Alternatively
where s is defined as above and r is the radius of the triangle's incircle,
- S = sr
where AB and AC are the vectorss pointing from A to B respectively C, and |AB × AC| denotes the length of their cross product. This is because |AB × AC| represents the area of the parallelogram formed by these vectors, and thus the area of the triangle is half this.
If the vertex A is located at the origin (0,0) of a Cartesian coordinate system and the coordinates of the other two vertices are given by B = (x1, y1) and C = (x2, y2), then the area S can be computed as 1/2 times the absolute value of the determinant
i.e.
See also
- Triangular number
- triangle (instrument)
- Pascal's triangle
- synthetic geometry
External links
- Clark Kimberling: Encyclopedia of triangle centers. Lists some 1600 interesting points associated with any triangle.
- Christian Obrecht: Eukleides. Software package for creating illustrations of facts about triangles and other theorems in Euclidean geometry.
Source: adapted by the editor from Wikipedia, the free encyclopedia under a copyleft GNU Free Documentation License (GFDL) from the article "Triangle."
(From Wikipedia, the free Encyclopedia)
The triangle is an idiophonic musical instrument of the percussion family. It is a bar of metal, most usually steel in modern instruments, bent into a triangle shape. One of the angles is left open, with the ends of the bar not quite touching - this causes the instrument to be of indeterminate pitch. It is usually suspended from one of the other corners by a piece of thin wire or gut, leaving it free to vibrate. It is usually struck with a metal beater, giving a high-pitched, ringing tone.The exact origins of the instrument are unknown, but a number of paintings from the Middle Ages depict the instrument being played by angels, which has led to the belief that it played some part in church services at that time. Other paintings show it being used in folk bands.
Although the instrument is nowadays generally in the form of an equilateral triangle, these early instruments are often isosceles triangles.
The triangle has been used in the western classical orchestra since around the middle of the 18th century. Wolfgang Amadeus Mozart, Joseph Haydn and Ludwig van Beethoven all used it, though sparingly, usually in imitation of Janissary bands. The first piece to make the triangle really prominent was Franz Liszt's Piano Concerto No. 1, where it is used as a solo instrument in the second movement.
The triangle requires no specialist ability to play at a basic level, and it is often used in jokes and one liners as an archetypal instrument that even an idiot can play. However, triangle parts in classical music can be very demanding, and James Blades in the Grove Dictionary of Music and Musicians writes that "the triangle is by no means a simple instrument to play".
Most difficulties in playing the triangle come from the complex rhythms which are sometimes written for it, although it can also be quite difficult to control the level of volume. Very quiet notes can be obtained by using a much lighter beater - knitting needles are sometimes used for the quietest notes. Composers sometimes call for a wooden beater to be used instead of a metal one, which gives a rather "duller" and quieter tone.
Source: adapted by the editor from Wikipedia, the free encyclopedia under a copyleft GNU Free Documentation License (GFDL) from the article "Triangle (instrument)."
(From Wikipedia, the free Encyclopedia)
Triangle is a town located in Broome County, New York. As of the 2000 census, the town had a total population of 3,032.Geography
According to the United States Census Bureau, the town has a total area of 103.0 km² (39.8 mi²). 98.7 km² (38.1 mi²) of it is land and 4.4 km² (1.7 mi²) of it is water. The total area is 4.25% water.Demographics
As of the census of 2000, there are 3,032 people, 1,131 households, and 809 families residing in the town. The population density is 30.7/km² (79.6/mi²). There are 1,245 housing units at an average density of 12.6/km² (32.7/mi²). The racial makeup of the town is 97.76% White, 0.20% African American, 0.26% Native American, 0.33% Asian, 0.10% Pacific Islander, 0.26% from other races, and 1.09% from two or more races. 0.86% of the population are Hispanic or Latino of any race. There are 1,131 households out of which 39.6% have children under the age of 18 living with them, 56.2% are married couples living together, 10.4% have a female householder with no husband present, and 28.4% are non-families. 21.9% of all households are made up of individuals and 8.0% have someone living alone who is 65 years of age or older. The average household size is 2.68 and the average family size is 3.14. In the town the population is spread out with 29.5% under the age of 18, 7.8% from 18 to 24, 28.2% from 25 to 44, 23.1% from 45 to 64, and 11.4% who are 65 years of age or older. The median age is 36 years. For every 100 females there are 97.5 males. For every 100 females age 18 and over, there are 94.3 males. The median income for a household in the town is $35,982, and the median income for a family is $41,220. Males have a median income of $29,184 versus $24,792 for females. The per capita income for the town is $15,734. 11.4% of the population and 10.0% of families are below the poverty line. Out of the total people living in poverty, 15.3% are under the age of 18 and 5.5% are 65 or older.Source: adapted by the editor from Wikipedia, the free encyclopedia under a copyleft GNU Free Documentation License (GFDL) from the article "Triangle, New York."
(From Wikipedia, the free Encyclopedia)
Triangle is a town located in Prince William County, Virginia. As of the 2000 census, the town had a total population of 5,500.Geography
Triangle is located at 38°33'5" North, 77°19'33" West (38.551287, -77.325900)1. According to the United States Census Bureau, the town has a total area of 6.8 km² (2.6 mi²). 6.8 km² (2.6 mi²) of it is land and none of the area is covered with water.Demographics
As of the census of 2000, there are 5,500 people, 2,196 households, and 1,341 families residing in the town. The population density is 807.4/km² (2,088.5/mi²). There are 2,318 housing units at an average density of 340.3/km² (880.2/mi²). The racial makeup of the town is 61.07% White, 28.33% African American, 0.49% Native American, 2.87% Asian, 0.11% Pacific Islander, 3.58% from other races, and 3.55% from two or more races. 7.42% of the population are Hispanic or Latino of any race. There are 2,196 households out of which 33.9% have children under the age of 18 living with them, 40.4% are married couples living together, 15.3% have a female householder with no husband present, and 38.9% are non-families. 29.7% of all households are made up of individuals and 3.6% have someone living alone who is 65 years of age or older. The average household size is 2.50 and the average family size is 3.13. In the town the population is spread out with 27.8% under the age of 18, 13.2% from 18 to 24, 34.4% from 25 to 44, 18.4% from 45 to 64, and 6.2% who are 65 years of age or older. The median age is 30 years. For every 100 females there are 102.2 males. For every 100 females age 18 and over, there are 101.1 males. The median income for a household in the town is $38,844, and the median income for a family is $43,811. Males have a median income of $32,017 versus $27,722 for females. The per capita income for the town is $18,982. 8.8% of the population and 7.1% of families are below the poverty line. Out of the total people living in poverty, 11.4% are under the age of 18 and 4.9% are 65 or older.Source: adapted by the editor from Wikipedia, the free encyclopedia under a copyleft GNU Free Documentation License (GFDL) from the article "Triangle, Virginia."
Synonyms: TriangleSynonyms: trigon (n), trilateral (n). (additional references) |
| Context | Synonyms within Context (source: adapted from Roget's Thesaurus). |
Angularity | Triangle, trigon, wedge; rectangle, square, lozenge, diamond; rhomb, rhombus; quadrangle, quadrilateral; parallelogram; quadrature; polygon, pentagon, hexagon, heptagon, octagon, oxygon, decagon. |
Scourge | Triangle, wooden horse, iron maiden, thumbscrew, boot, rack, wheel, iron heel; chinese water torture. |
Triality | Three, triad, triplet, trey, trio, ternion, leash; shamrock, tierce, spike-team, trefoil; triangle, trident, triennium, trigon, trinomial, trionym, triplopia, tripod, trireme, triseme, triskele, triskelion, trisula. |
| Source: adapted from Roget's Thesaurus. | |
| Domain | Usage | |
Screenplays | That's a right triangle, you idiot (The Simpsons; writing credit: Artur Brauner; Paul Hengge) The sum of the square roots of any two sides of an isosceles triangle is equal to the square root of the remaining side (The Simpsons; writing credit: Artur Brauner; Paul Hengge) Lost in the Devil's Triangle, trapped in a dimension with beings from the future and other worlds, a party of adventurers journey through zones of time back to their own time (The Fantastic Journey; writing credit: Katharyn Michaelian Powers; Michael Michaelian) | |
Lyrics | Objection the angles of this triangle (Objection (Tango); performing artist: Shakira) | |
Movie/TV Titles | Bermuda Triangle (1996) The Devil's Triangle (1974) Triangle (1970) The Odd Triangle (1968) Notes on a Triangle (1966) | |
Source: compiled by the editor from various references; see credits. | ||
| Domain | Title | ||
References | |||
Books |
| ||
Periodicals | |||
Theater & Movies | |||
Music |
| ||
Consumer Goods | |||
Source: compiled by the editor from various references; see credits. | |||
| Thumbnail | Description & Credit | Thumbnail | Description & Credit |
 | Shark, snapper, and grouper longliners, etc. at Triangle Fisheries. Credit: Fisheries. |  | A fisherdog guards his master's boat near Triangle Fisheries. Credit: Fisheries. |
 | Early example of principles of leveling. Also note classic 3-4-5 right triangle occurring in nature, in this case as a natural slope. Credit: Treasures of the Library. |  | Title page showing of practical geometry and surveying manual showing Pythagoras , Archimedes, a 3-4-5 triangle, numerous drafting and surveying instruments. In: "Geometriae practicae novae et auctae tractatus I[-IV] ..." by Schwenter, Daniel, 1585-1636. Published posthumously in 1641. Credit: Treasures of the Library. |
 | Methods of setting Spanish mackerel gill-nets. Fig. 1. Straight set Fig. 2. Circle set. Fig. 3. Crooked set. Fig. 4. Hook set. Fig. 5. T set Fig. 6. Square set. Fig. 7. Triangle set. Fig. 8. Harpoon set. From Report U. S. Fish Commission, Part VIII, 1880. Credit: National Marine Fisheries Historical Image Collection. |  | [Congressman L.H. Fountain visits Research Triangle Park]. Credit: National Library of Medicine. |
 | [Research Triangle Park, North Carolina] / P. Credit: National Library of Medicine; photo by Irving Cooperman.. |  | Cat-like figure, possibly a sphinx, inscribed within a triangle. Credit: Library of Congress. |
 | The Triangle, University of Pennsylvania. Credit: Library of Congress. |  | Federal Triangle. Aerial view of Federal Triangle. Credit: Library of Congress. |
Source: pictures compiled by the editor from various references; see picture credits. | |||
 |  |
| "Waiting" by Kevin C Commentary: "Federal triangle stop in the DC metro system visit my manip site: blindgorgon.deviantart ..." | "Tiles" by Michelle Kwajafa Commentary: "Triangle tile floor." |
Source: photographs selected by the editor, with permission from the photographers. | |
| Play | Caption | Play | Caption |
 | Triangle ding. | | Triangle ding. |
| A single mid-sized triangle being hit with a beater. | | A triangle struck with a beater. |
| High triangle tone. | ||
| Source: compiled by the editor from various references; see credits. | |||
| Title | Author | Quote |
Les Miserables | Hugo, Victor | The triangle contained at the top of the A, between the two strokes and the cross, is the plateau of Mont Saint Jean |
Portrait of the Artist as a Young Man | Joyce, James | You would not write your name in pencil across the hypothenuse of a rightangled triangle. |
Grapes of Wrath | Steinbeck, John | Uncle John and the preacher were curled in the middle of the truck, resting on their elbows, and staring out the back triangle. |
Gulliver's Travels | Swift, Jonathan | In the first course there was a shoulder of mutton, cut into an equilateral triangle, a piece of beef into a rhomboides, and a pudding into a cycloid |
Source: compiled by the editor from various references. | ||
| Subject | Topic | Quote |
Business | All pager services cover the Buenos Aires and Greater Buenos Aires areas (Zarate-Ezeiza-La Plata triangle), and some of the interior's major cities. (references) | |
Poultry meat production is the second most important meat commodity next to beef. Dairy farming covers the whole of South Africa with the main concentration in the Vaal Triangle. (references) | ||
Economic History | Czech Republic | Flag: Blue triangle on staff side; upper white band, lower red band. (references) |
Sudan | Flag: Horizontal red, white, and black stripes with green triangle on staff side. (references) | |
Djibouti | Flag: A white triangle, with a five-pointed red star within, extending on the staff side. (references) | |
Political Economy | HONDURAS | After nine years of negotiations, a free trade agreement between the members of the Northern CACM Triangle (Honduras, Guatemala and El Salvador) and Mexico took effect on June 1, 2001. A free trade agreement with the Dominican Republic and an agreement strengthening trade relations with Colombia were approved by the Honduran National Congress in October 2001. Honduran trade officials are close to finishing negotiations with Chile. (references) |
Trade | Honduras | Members of the Northern Triangle (Honduras, Guatemala, and El Salvador) negotiated a free trade agreement with Mexico in June 2000. However, because the exchange of the Instruments of Ratification for the recently negotiated Free Trade Agreement between Mexico and Honduras has not taken place, the treaty has not taken effect. (references) |
Worker Rights | Poland | Many disputes have arisen because of the weakness of the employer side of the union/employer/Government triangle. (references) |
Source: compiled by the editor from ICON Group International, Inc.; see credits. | ||
| Speaker | Phrase(s) |
James Dobson | Well, you combine it with love. On the cover of my first book, I had a little fulcrum, triangle like that with a line going across with love on one side and control on the other. |
Source: compiled by the editor from various references; see credits. | |
| "Triangle" is generally used as a noun (singular) -- approximately 99.25% of the time. "Triangle" is used about 804 times out of a sample of 100 million words spoken or written in English. Its rank is based on over 700,000 words used in the English language. Some parts-of-speech are not covered due to the samples used by the British National Corpus. (note: percents less than one-hundredth of one percent have been omitted) |
| Parts of Speech | Percent | Usage per 100 Million Words | Rank in English |
| Noun (singular) | 99.25% | 798 | 8,706 |
| Noun (proper) | 0.75% | 6 | 143,867 |
| Total | 100.00% | 804 | N/A |
Source: compiled by the editor from several corpora; see credits.
| Country | Name |
| USA | NTL Triangle LLC |
| (more examples...) |
Source: compiled by the editor from Icon Group International, Inc.
1. Triangle, VA (CDP, FIPS 79360) |
Expressions using "triangle": acute triangle ♦ ascending triangle ♦ bermuda triangle ♦ celestial triangle ♦ equiangular triangle ♦ equilateral triangle ♦ fire triangle ♦ isosceles triangle ♦ Legs of a triangle ♦ navigational triangle ♦ oblique triangle ♦ obtuse triangle ♦ polar spherical triangle ♦ PZX triangle ♦ Quadrantal triangle ♦ red triangle ♦ right triangle ♦ scalene triangle ♦ southern Triangle ♦ spherical triangle ♦ the eternal triangle ♦ the Triangle ♦ triangle cut ♦ Triangle spider ♦ triangle test ♦ warning triangle ♦ wind triangle. Additional references. | |
| Hyphenated Usage | |
Beginning with "triangle": triangle-language. | |
Ending with "triangle": love-triangle, three-triangle. | |
| Source: compiled by the editor from various references; see credits. | |
| The following statistics estimate the number of searches per day across the major English-language search engines as identified by various trade publications. Hyperlinks lead to commercial use of the expression at Amazon.com. |
| Language | Translations for "triangle"; alternative meanings/domain in parentheses. | |
Albanian | trekëndësh (deltoid, three-cornered, triangular, triquetrous). (various references) | |
Arabic | مثلث, المثلث الغرامي, المثلث آلة. (various references) | |
Asturian | triángulu. (various references) | |
Bulgarian | уред с форма на триъгълник, триъгълник, група от трима души, група от три неща. (various references) | |
Cebuano | triyanggulo. (various references) | |
Chamorro | trianggo'. (various references) | |
Chinese | 三角形 , 三角 (triangular, trigonometric). (various references) | |
Cornish | trýelyn. (various references) | |
Czech | trojúhelník (set square). (various references) | |
Danish | trekant (pennant). (various references) | |
Dutch | triangel, driehoek (set square). (various references) | |
Esperanto | triangulo. (various references) | |
Faeroese | trýhyrningur. (various references) | |
Farsi | مثلث , سه پهلو, سه گوش , سه بر (Trilateral). (various references) | |
Finnish | kolmio. (various references) | |
French | triangle, équerre. (various references) | |
Frisian | trijehoek. (various references) | |
German | Dreieck (Delta), Triangel. (various references) | |
Greek | τρίγωνο. (various references) | |
Hebrew | משולש (threefold, trebled, triangular, triple). (various references) | |
Hungarian | háromszög (Delta, set square), triangulum, háromszögű vonalzó (setsquare). (various references) | |
Indonesian | segitiga. (various references) | |
Inuktitut | pingasunnik issulik. (various references) | |
Irish | triantÚn. (various references) | |
Italian | triangolo. (various references) | |
Japanese Kanji | トキソプラズマ症 (18-wheeler, articulated lorry, galvanized sheet iron, latest fashion, pepper game, semi-trailer, Thomas Cup, toboggan, toffy, toggle, toggle switch, Tom, tomahawk, tomato, tomato ketchup, tomato puree, tommy gun, tomography, tom-tom, toner, tonic, tonic water, tony tie, top, top ball, top batter, top class, top condition, top down, top fashion, top gear, top group, top hat, top lady, top management, top news, top runner, top scene, top secret, top seller, top spin, top star, topaze, topcoat, top-domain, topic, topic news, topics, topless, top-level, top-note, topological, topology, topper, topping, toss, toss batting, tosser, totocalcio, toxoplasmosis, Toyota, tractor, tractor-trailer, tragedy, tragic, tragi-comedie, transistor glamour, trauma, triad, trial, trial and error, tri-athlete, triathlon, tribalism, tricycle, Trident, trijet, Tristar, truss, trust, try, zinc), 三角形 , 三角 (triangular), 三角 (triangular). (various references) | |
Japanese Katakana | トライアングル , さんかくけい, さんかっけい, さんかく (taking part in planning, triangular). (various references) | |
Korean | 삼각형 (triangular). (various references) | |
Macedonian | triagolen. (various references) | |
Manx | troorane (delta), trooane. (various references) | |
Papiamen | triángulo. (various references) | |
Pig Latin | iangletray.(various references) | |
Portuguese | triângulo, ferrinhos. (various references) | |
Provencal | triangle. (various references) | |
Romanian | triunghi, echer de desen, colţar (boss, corner, crampon, cupboard, quoin, Square). (various references) | |
Russian | треугольник. (various references) | |
Samoan | tafatolu. (various references) | |
Sepedi | khutlotharo. (various references) | |
Serbo-Croatian | trougao. (various references) | |
Spanish | triangulo. (various references) | |
Swedish | triangel. (various references) | |
Thai | สองหญิงหนึ่งชาย (eternal triangle). (various references) | |
Turkish | üçgen (trigon), üç köşeli parça. (various references) | |
Turkmen | ьзburзluk. (various references) | |
Ukrainian | трикутник, косинець (angle, knee). (various references) | |
Vietnamese | hình tam giác ê ke. (various references) | |
Welsh | triongl. (various references) | |
| Source: compiled by the editor from various translation references. | ||
| Language | Period | Translations |
| Greek | 700 BCE-300 CE | trigonon. (various references) |
| Latin | 500 BCE-Modern | triangulum, trigonium. (various references) |
| Source: compiled by the editor from various references. | ||
Derivations | |
Words beginning with "triangle": triangles. (additional references) | |
| |
"Triangle" is suggested in spellcheckers for the following: Reinagle, trange, trangler, Tregantle, triangled, triangls, triangue, Triennale, Triongle, tryangle. (additional references) | |
| Source: compiled by the editor, based on several corpora (additional references). | |
| # of Phoneme Matches | Pronunciation | Word(s) rhyming with "triangle" (pronounced trī"a'nggul) |
| 4 | -ng g u l | angle, antifungal, bangle, commingle, dangle, Dingle, disentangle, entangle, fungal, Spangle, strangle, swingle, tangle, Ingle, intermingle, jangle, jingle, jungle, Mangel, mangle, mingle, mongol, rectangle, shingle, single, tingle, untangle, wangle, wrangle. |
| 3 | -g u l | algal, bagel, beagle, bedraggle, boggle, Bogle, boondoggle, bugle, centrifugal, conjugal, eagle, extralegal, finagle, frugal, gaggle, giggle, goggle, gurgle, haggle, illegal, Spiegel, squiggle, straggle, struggle, jiggle, juggle, Kugel, legal, madrigal, milligal, mogul, Ogle, paralegal, prodigal, regal, smuggle, snuggle, toggle, wiggle, wriggle. |
Source: compiled by the editor (additional references); see credits. | ||
Scrabble® Enable2K-Verified Anagrams | |
Direct Anagrams: alerting, altering, integral, relating, tanglier. | |
| Words within the letters "a-e-g-i-l-n-r-t" | |
-1 letter: aligner, atingle, elating, engrail, gelatin, genital, granite, gratine, ingrate, latrine, nargile, ratline, realign, reginal, reliant, retinal, ringlet, tangier, tangler, tearing, tingler, trenail. | |
-2 letters: aiglet, aigret, aliner, angler, antler, argent, earing, eating, engirt, entail, gainer, gaiter, garnet, gelant, gelati, genial, gentil, glaire, gratin, ingate, larine, learnt, ligate, linage, linear, linger, linter, nailer, ratine. | |
| Words containing the letters "a-e-g-i-l-n-r-t" | |
+1 letter: antiglare, earthling, faltering, gnarliest, granulite, haltering, integrals, lathering, paltering, reflating, replating, reslating, retailing, trameling, traveling, treadling, triangles. | |
+2 letters: blathering, blattering, clattering, corelating, earthlings, flattering, generalist, generality, granulites, integrable, integrally, lacerating, lateraling, laterizing, laureating, leathering, liberating, martingale, multirange, plastering, pregenital, realtering, refloating, regelating, regimental, regulating, regulation, relegating, relegation, relocating, replanting, resaluting, retackling, retailings, slathering, starveling, tolerating, trailering, tramelling, trammeling, travelling, trigeminal, ulcerating, urogenital. | |
| Source: compiled by the editor from various references; see credits. SCRABBLE® is a registered trademark. All intellectual property rights in and to the game are owned in the U.S.A and Canada by Hasbro Inc., and throughout the rest of the world by J.W. Spear & Sons Limited of Maidenhead, Berkshire, England, a subsidiary of Mattel Inc. Mattel and Spear are not affiliated with Hasbro. | |
| 1. Definition 2. Synonyms 3. Crosswords 4. Usage: Modern | 5. Usage: Commercial 6. Images: Slideshow 7. Images: Photo Album 8. Images: Digital Art | 9. Sounds 10. Quotations: Fiction 11. Quotations: Non-fiction 12. Quotations: Spoken | 13. Usage Frequency 14. Names: Company Usage 15. Cities 16. Expressions | 17. Expressions: Internet 18. Translations: Modern 19. Translations: Ancient 20. Derivations | 21. Rhymes 22. Anagrams 23. Bibliography |
Copyright © Philip M. Parker, INSEAD. Terms of Use.
