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- {{Short description|Similar triangles that share two side lengths}} ...x|alt=The smallest 5-Con triangles with integral sides.|The smallest 5-Con triangles with integral sides.]] ...8 KB (1,213 words) - 18:01, 4 October 2024
- '''Solution of triangles''' ({{langx|la|solutio triangulorum}}) is the main [[trigonometry|trigonome ==Solving plane triangles== ...23 KB (3,713 words) - 10:43, 25 October 2024
- ...in the set and ''n'' − 1 triangles are directly similar, then n triangles are directly similar.<ref name=":0" /> ...on, if all but one of the triangles were directly similar, then all of the triangles are directly similar.<ref name=":0" /> ...6 KB (1,010 words) - 22:53, 2 April 2021
- ...th respect to the diameter <math>OL</math> of the [[Brocard circle]]. This triangles was discovered by Professor [[Manuel M., Aguilera]] in 2023 ...the Brocard Circle.png|thumb|262x262px|Ilustration of the Aguilera-Brocard triangles in the [[Brocard circle]] ]] ...6 KB (863 words) - 03:20, 26 February 2025
- {{Short description|Triangles without a right angle}} ...nd obtuse triangles are the two different types of '''oblique triangles'''—triangles that are not [[right triangle]]s because they do not have any [[right angle ...13 KB (1,989 words) - 10:46, 10 September 2024
- In [[geometry]], '''Legendre's theorem on spherical triangles''', named after [[Adrien-Marie Legendre]], is stated as follows: The excess, or area, of small triangles is very small. For example, consider an equilateral spherical triangle with ...7 KB (969 words) - 09:30, 23 January 2025
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- ...>I_B</math>,<math>I_C</math> of a circular triangle ABC and its associated triangles.]] ...ey can be seen as analogous to the [[nine-point circle]] of straight-sided triangles.<ref>{{Cite book |last=Coolidge |first=Julian Lowell |url=https://www.world ...2 KB (278 words) - 07:19, 2 June 2024
- ...}</ref> Unlike [[magic square]]s, there are different magic sums for magic triangles of the same order.<ref name=":0" /> Any magic triangle has a complementary [[File:Order 3 Magic Triangles.gif|thumb|489px|Order-3 magic triangles|center]] ...3 KB (489 words) - 03:34, 15 September 2024
- ...angle]] where one of the angles is 60 or 120 degrees. The relation of such triangles to the [[Eisenstein integer]]s is analogous to the relation of Pythagorean ==Triangles with an angle of 60°== ...3 KB (414 words) - 11:38, 27 October 2022
- ...th respect to the diameter <math>OL</math> of the [[Brocard circle]]. This triangles was discovered by Professor [[Manuel M., Aguilera]] in 2023 ...the Brocard Circle.png|thumb|262x262px|Ilustration of the Aguilera-Brocard triangles in the [[Brocard circle]] ]] ...6 KB (863 words) - 03:20, 26 February 2025
- {{short description|Relation between conic sections and triangles}} [[Category:Theorems about triangles]] ...1 KB (225 words) - 21:51, 14 May 2022
- ...in the set and ''n'' − 1 triangles are directly similar, then n triangles are directly similar.<ref name=":0" /> ...on, if all but one of the triangles were directly similar, then all of the triangles are directly similar.<ref name=":0" /> ...6 KB (1,010 words) - 22:53, 2 April 2021
- All [[triangle]]s are affine-regular. In other words, all triangles can be generated by applying affine transformations to an [[equilateral tri ...ral can be [[equidissection|equidissected]] into <math>m</math> equal-area triangles if and only if <math>m</math> is even, by affine invariance of equidissecti ...3 KB (324 words) - 10:50, 18 August 2023
- ...umgeom.fau.edu/FG2005volume5/FG200514.pdf ''On the Geometry of Equilateral Triangles'']. Forum Geometricorum, Volume 5 (2005), pp. 107–117 [[Category:Theorems about triangles and circles]] ...2 KB (321 words) - 10:43, 14 March 2023
- ...ar triangles]]. Hart's original form is simply the [[degenerate case]] of triangles with altitude zero. * Yellow Triangles and Green Triangles are similar. ...5 KB (706 words) - 14:46, 22 November 2024
- ...he [[excentral triangle]] is an example of a central triangle. The central triangles have been classified into three types based on the properties of the two fu === Central triangles of Type 1 === ...6 KB (979 words) - 13:26, 9 May 2024
- ...ter decomposition is to break up a polygon into a composition of congruent triangles reflected on its sides. == Hyperbolic triangles == ...5 KB (722 words) - 03:50, 5 July 2021
- {{Short description|Similar triangles that share two side lengths}} ...x|alt=The smallest 5-Con triangles with integral sides.|The smallest 5-Con triangles with integral sides.]] ...8 KB (1,213 words) - 18:01, 4 October 2024
- ...4 }}</ref><ref name=Vickers2016>Glenn T. Vickers, "The 19 Congruent Jacobi Triangles", ''[[Forum Geometricorum]]'' 16, 2016, 339–344. http://forumgeom.fau.edu/F ...N'' and triangles ''LMY'', ''NOZ'' and ''PKX'' are respectively similar to triangles ''OPD'', ''KLE'' and ''MNF'', then ''DY'', ''EZ'' and ''FX'' are concurrent ...4 KB (507 words) - 14:15, 24 September 2024
- ...form]] [[great stellated truncated dodecahedron]]. Its faces are isosceles triangles. Part of each triangle lies within the solid, hence is invisible in solid m The triangles have one angle of <math>\arccos(-\frac{3}{20}+\frac{3}{20}\sqrt{5})\approx ...1 KB (157 words) - 23:29, 27 December 2022
- ...oper's paradox. The brown parallelogram is the overlapping area of the two triangles.]] ...e original shape but only 1.8 units in the rectangle. This means, the real triangles of the original shape overlap in the rectangle. The overlapping area is a p ...4 KB (543 words) - 03:43, 9 December 2024
- ...be the radius of the incircle, then ''r'' is also the altitude of all four triangles.{{r|alsina}} ...2 KB (335 words) - 04:43, 20 October 2023
- ...r|L}} lies on the [[Newton line]] if the two sums of the areas of opposing triangles are equal, according to Anne's theorem.]] ...e]]s with the edges of {{mvar|ABCD}}. If the two sums of areas of opposite triangles are equal: ...3 KB (402 words) - 11:15, 20 September 2024
- Therefore, the corresponding sides and angles of congruent triangles are equal ===Proof by similar triangles=== ...4 KB (648 words) - 15:29, 3 February 2025
- ...rne]]|desc=A proof of [[Pythagoras's theorem]], showing how by rearranging triangles the areas <math>c^2</math> and <math>a^2 + b^2</math> can be shown to be th ...692 bytes (91 words) - 10:22, 15 December 2019
- {{Short description|On triangles in line arrangements}} ...le, four lines form at least two triangles, five lines form at least three triangles, etc. It is named after [[Samuel Roberts (mathematician)|Samuel Roberts]], ...8 KB (1,116 words) - 07:38, 24 February 2025