In geometry, a triangle center or triangle centre is a point in the triangle's plane that is in some sense in the middle of the triangle. For example,...

Archimedes learned the theorem that the medians of a triangle meet in a point—the center of gravity of the triangle—directly from Euclid, as this proposition is...

to Euclid. Equilateral triangle Isosceles triangle Scalene triangle Right triangle Acute triangle Obtuse triangle Each triangle has many special points...

incircle is a triangle center called the triangle's incenter. An excircle or escribed circle of the triangle is a circle lying outside the triangle, tangent...

The Triangle Center is primarily an office complex with several restaurants and a coffee shop in downtown Lexington, Kentucky. Originally envisioned as...

majority of the state's population. The Texas Triangle is formed by the state's four main urban centers, Austin, Dallas-Fort Worth, Houston, and San Antonio...

Encyclopedia of Triangle Centers (ETC) is an online list of thousands of points or "centers" associated with the geometry of a triangle. This resource...

In geometry, an altitude of a triangle is a line segment through a given vertex (called apex) and perpendicular to a line containing the side or edge opposite...

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...

or r = R 2 {\displaystyle r={\frac {R}{2}}} The geometric center of the triangle is the center of the circumscribed and inscribed circles The altitude (height)...

Triangle Town Center is a shopping mall in Raleigh, North Carolina. It is located in North Raleigh off U.S. Highway 1 (Capital Boulevard) and Interstate...

The Bermuda Triangle, also known as the Devil's Triangle, is a loosely defined region in the western part of the North Atlantic Ocean where, according...

The Coral Triangle (CT) is a roughly triangular area in the tropical waters around the Philippines, Indonesia, Malaysia, Papua New Guinea, the Solomon...

the incenter of a triangle is a triangle center, a point defined for any triangle in a way that is independent of the triangle's placement or scale....

circumcircle of a triangle is a circle that passes through all three vertices. The center of this circle is called the circumcenter of the triangle, and its radius...

The Triangle Shirtwaist Factory fire in the Greenwich Village neighborhood of Manhattan, New York City, on Saturday, March 25, 1911, was the deadliest...

mathematics, modern triangle geometry, or new triangle geometry, is the body of knowledge relating to the properties of a triangle discovered and developed...

any triangle, the orthocenter, circumcenter and centroid are collinear. This property is also true for another triangle center, the nine-point center, although...

The Feuerbach point is a triangle center, meaning that its definition does not depend on the placement and scale of the triangle. It is listed as X(11)...

In geometry, an isosceles triangle (/aɪˈsɒsəliːz/) is a triangle that has two sides of equal length. Sometimes it is specified as having exactly two sides...

The Research Triangle, or simply The Triangle, are both common nicknames for a metropolitan area in the Piedmont region of the U.S. state of North Carolina...

A right triangle or right-angled triangle, sometimes called an orthogonal triangle or rectangular triangle, is a triangle in which two sides are perpendicular...

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

three points. The Fermat point of a triangle with largest angle at most 120° is simply its first isogonic center or X(13), which is constructed as follows:...

nine-point center is a triangle center, a point defined from a given triangle in a way that does not depend on the placement or scale of the triangle. It is...

In triangle geometry, the Steiner point is a particular point associated with a triangle. It is a triangle center and it is designated as the center X(99)...

theorem Encyclopedia of Triangle Centers Equal incircles theorem Equal parallelians point Equidissection Equilateral triangle Euler's line Euler's theorem...

A Reuleaux triangle [ʁœlo] is a curved triangle with constant width, the simplest and best known curve of constant width other than the circle. It is formed...

the Morley centers are two special points associated with a triangle. Both of them are triangle centers. One of them called first Morley center (or simply...

center is a special point associated with a plane triangle. It is defined as the center of mass of the perimeter of the triangle. The Spieker center of...