An equilateral triangle is a triangle in which all three sides have the same length, and all three angles are equal. Because of these properties, the equilateral...

to Euclid. Equilateral triangle Isosceles triangle Scalene triangle Right triangle Acute triangle Obtuse triangle All types of triangles are commonly...

MR 0133065. Payan, Charles (1997), "Empilement de cercles égaux dans un triangle équilatéral. À propos d'une conjecture d'Erdős-Oler", Discrete Mathematics (in...

Sierpiński triangle, also called the Sierpiński gasket or Sierpiński sieve, is a fractal with the overall shape of an equilateral triangle, subdivided...

including the equilateral triangle as a special case. Examples of isosceles triangles include the isosceles right triangle, the golden triangle, and the faces...

truncated equilateral triangle, t{3}, which alternates two types of edges. A regular hexagon is defined as a hexagon that is both equilateral and equiangular...

Reuleaux triangle into an inner equilateral triangle and three curvilinear regions between this inner triangle and the arcs forming the Reuleaux triangle, and...

Acute triangle Equilateral triangle Heptagonal triangle Isosceles triangle Golden Triangle Obtuse triangle Rational triangle Heronian triangle Pythagorean...

In geometry, an equilateral polygon is a polygon which has all sides of the same length. Except in the triangle case, an equilateral polygon does not need...

entière de la terre dans une triangle équilatéral" [Representation of the entire surface of the earth in an equilateral triangle]. Bulletin de la Classe des...

of the chain. When a convex equilateral pentagon is dissected into triangles, two of them appear as isosceles (triangles in orange and blue) while the...

vertex, and they all intersect at the triangle's centroid. In the case of isosceles and equilateral triangles, a median bisects any angle at a vertex...

fail to qualify as triangle centers. For an equilateral triangle, all triangle centers coincide at its centroid. However the triangle centers generally...

A special right triangle is a right triangle with some regular feature that makes calculations on the triangle easier, or for which simple formulas exist...

forms the first step in constructing an equilateral triangle using a compass and straightedge. The triangle has as its vertices the two disk centers...

isosceles triangles; otherwise, it is an oblique square pyramid. When all of the pyramid's edges are equal in length, its triangles are all equilateral. It...

In geometry, calculating the area of a triangle is an elementary problem encountered often in many different situations. The best known and simplest formula...

geometry, triangle inequalities are inequalities involving the parameters of triangles, that hold for every triangle, or for every triangle meeting certain...

acute triangle (or acute-angled triangle) is a triangle with three acute angles (less than 90°). An obtuse triangle (or obtuse-angled triangle) is a triangle...

point P within an equilateral triangle, the sum of the perpendiculars to the three sides is equal to the altitude of the triangle. This is Viviani's...

can both be called regular icosahedra. Each has 30 edges and 20 equilateral triangle faces with five meeting at each of its twelve vertices. Both have...

in any triangle, the three points of intersection of the adjacent angle trisectors form an equilateral triangle, called the first Morley triangle or simply...

Equilateral can refer to: Equilateral polygon, in geometry Equilateral triangle, in geometry Equilateral dimension of a metric space, in mathematics Equilateral...

Spring Triangle, including the tail of Leo, with Denebola replacing Regulus. Although Denebola is dimmer, this triangle is more nearly equilateral. These...

by the two shoulders and the pubis. The shape forms an inverted equilateral triangle with the heart at the center. It is named after Willem Einthoven...

(tesseract). Radially equilateral polytopes are those that can be constructed, with their long radii, from equilateral triangles which meet at the center...

of those equilateral triangles themselves form an equilateral triangle. The triangle thus formed is called the inner or outer Napoleon triangle. The difference...

triangle that is not equilateral. It is a central line of the triangle, and it passes through several important points determined from the triangle,...

distances from any interior point to the sides of an equilateral triangle equals the length of the triangle's altitude. It is a theorem commonly employed in...

square faces is the internal angle of an equilateral triangle π/3 = 60°, and that between a square and a triangle is π/2 = 90°. The volume of any prism is...