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midpoint of the opposite side). For other properties of a triangle's centroid, see below. The centroid of a uniformly dense planar lamina, such as in figure...

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...

medians intersect in a single point, the triangle's centroid or geometric barycenter, usually denoted by G. The centroid of a rigid triangular object (cut out...

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, the centroid,...

The following is a list of centroids of various two-dimensional and three-dimensional objects. The centroid of an object X {\displaystyle X} in n {\displaystyle...

center of an equilateral triangle coincides with its centroid, which implies that the equilateral triangle is the only triangle with no Euler line connecting...

the mesh. A triangle centroid is a center of mass location such that it would balance on a pencil tip. The simulation need only add a centroid dimension...

triangles—triangles that are not right triangles because they do not have any right angles (90°). In all triangles, the centroid—the intersection of the medians...

description of the four special points – centroid, incenter, circumcenter and orthocenter - associated with a triangle. Even though Pascal and Ceva in the...

unique circumellipse (ellipse that touches the triangle at its vertices) whose center is the triangle's centroid. Named after Jakob Steiner, it is an example...

corresponding sides of triangle ABC. Hence, the medial triangle is inversely similar and shares the same centroid and medians with triangle △ABC. It also follows...

In geometry, an altitude of a triangle is a line segment through a vertex and perpendicular to a line containing the side opposite the vertex. This line...

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...

circumcenter, the centroid, the Exeter point and the center of the nine-point circle of the triangle. The concept of a triangle's Euler line extends...

the centroid. The Thomson cubic passes through the following points: incenter, centroid, circumcenter, orthocenter, symmedian point, other triangle centers...

is called the centroid of the triangle, which is its center of mass if it has uniform density; thus any line through a triangle's centroid and one of its...

of its simplices' centroids (in the following called c i {\textstyle \mathbf {c} _{i}} ). Two dimensions: For a triangle the centroid can be easily computed...

midsegments of the given triangle. It shares the same centroid and medians with the given triangle. The perimeter of the medial triangle equals the semiperimeter...

through the centroid. Three other area bisectors are parallel to the triangle's sides. Any line through a triangle that splits both the triangle's area and...

vertices of a given triangle and whose center is the triangle's centroid. Definition An ellipse that is tangent to the sides of a triangle △ABC at its midpoints...