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...m]], in hyperbolic geometry, the angle at one vertex of a right hyperbolic triangle that has two hyperparallel sides * [[Parallel (geometry)]], the property of parallel lines ...

== Geometry == ...triangle]], a triangle obtained by projecting a point onto the sides of a triangle ...

* [[GEOS (software library)]], an open-source geometry engine ...le]], an intersection of four lines that are associated with a generalized triangle ...

*[[Complete quadrangle]] (projective geometry), a configuration with four points and six lines *Love quadrangle, variant form of a [[love triangle]], in which three people vie for the affections of a fourth ...

===Geometry=== ...plement of a point, the dilation of a point in the [[centroid]] of a given triangle, with ratio −1/2 ...

...ian and astronomer who first conceived and defined a spherical triangle (a triangle formed by three arcs of great circles on the surface of a sphere)."</ref> ...d proves [[Menelaus' theorem]] on collinearity of points on the edges of a triangle (which may have been previously known) and its analog for spherical triangl ...

...rence|access-date=26 April 2017}}</ref> corresponding to a quarter [[turn (geometry)|turn]].<ref>Wentworth p. 11</ref> If a [[Line (mathematics)#Ray|ray]] is p ...ence of a right angle in a [[triangle]] is the defining factor for [[right triangle]]s,<ref>Wentworth p. 40</ref> making the right angle basic to trigonometry. ...

...[[Plane (geometry)|planes]]. Its lateral faces can be [[trapezoid]]s or [[triangle]]s.{{r|prismatoid}} If both planes have the same number of vertices, and th ![[Pyramid (geometry)|Pyramids]] ...

...le (its circumference) describes how far it will roll in one [[revolution (geometry)|revolution]]. Similarly, the amount of string wound around a spool is rela ...th>, <math>b</math> and <math>c</math> are the lengths of the sides of the triangle. ...

{{short description|Triangle containing a 90-degree angle}} [[File:Rtriangle.svg|right|thumb|upright=1.25|A right triangle {{math|△''ABC''}} with its right angle at {{mvar|C}}, hypotenuse {{mvar|c}} ...

...'' or '''slant distance''' is the distance along the [[relative direction (geometry)|relative direction]] between two points. If the two points are at the same ...(electronics)|antenna]]. The slant range (1) is the [[hypotenuse]] of the triangle represented by the altitude of the aircraft and the distance between the ra ...

* ''a [[triangle]]'': A plane figure that has 3 straight bounding sides. #* ''the genus for both a triangle and a quadrilateral'': "A plane figure" ...

{{General geometry |concepts}} In [[geometry]], two [[geometric object]]s are '''perpendicular''' if they [[intersection ...

...ongruent. The third is [[Similarity (geometry)|similar]] to them. The last triangle is neither congruent nor similar to any of the others. Congruence permits a In [[geometry]], two figures or objects are '''congruent''' if they have the same [[shape ...

[[File:Gouraudshading00.png|thumb|300px|Gouraud-shaded triangle mesh using the [[Phong reflection model]]]] ...ly interpolating]] the resulting colours for each [[pixel]] covered by the triangle. Gouraud first published the technique in 1971.<ref name="thesis">{{cite th ...

=== Euclidean geometry === {{main|Euclidean geometry}} ...

...opposite angles of a parallelogram are of equal measure. The [[congruence (geometry)|congruence]] of opposite sides and opposite angles is a direct consequence *[[Square (geometry)|Square]] – A parallelogram with four sides of equal length and four right ...

=== Triangle rasterization === [[File:Top-left triangle rasterization rule.gif|thumb|right|Rasterizing triangles using the top-left ...

{{Short description|Property of geometry, also used to generalize the notion of "distance" in metric spaces}} ...INSIDE HATNOTES. -->|other inequalities associated with triangles|List of triangle inequalities}} ...

#''[[Subadditivity]]''/''[[Triangle inequality]]'': <math>d(x,z) \leq d(x,y) + d(y,z)</math> ...try and classical Triangle inequality can be replaced with single modified Triangle one: ...