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A strict definition of a triangle centre is a point whose trilinear coordinates are f(a,b,c) : f(b,c,a) : f(c,a,b) where f is a function of the lengths of the three sides of the triangle, a, b, c such that: f is homogeneous in a, b, c; i.e., f(ta,tb,tc)=t h f(a,b,c) for some real power h; thus the position of a centre is independent of scale.
Centroid of a triangle. In mathematics and physics, the centroid, also known as geometric center or center of figure, of a plane figure or solid figure is the arithmetic mean position of all the points in the surface of the figure.
The center of mass is the unique point at the center of a distribution of mass in space that has the property that the weighted position vectors relative to this point sum to zero. In analogy to statistics, the center of mass is the mean location of a distribution of mass in space.
If f is a triangle center function and a, b, c are the side-lengths of a reference triangle then the point whose trilinear coordinates are (,,): (,,): (,,) is called a triangle center. This definition ensures that triangle centers of similar triangles meet the invariance criteria specified above.
Center fielder, often called "center", a position in baseball; Centre (netball), a position; Other uses. The Centre, a shorthand term for the central Government of India;
Shift of the world's economic center of gravity since 1980 and projected until 2050 [7] Various definitions of geographical centres exists. The definitions used by the references in this article refer to calculations within the 2 dimensions of a surface, mainly as the surface of Earth is the domain of human cultural existence.
The kernel of the map G → G i is the i th center [1] of G (second center, third center, etc.), denoted Z i (G). [2] Concretely, the (i+1)-st center comprises the elements that commute with all elements up to an element of the i th center. Following this definition, one can define the 0th center of a group to be the identity subgroup.
The center of a monoid and the Drinfeld center of a monoidal category are both instances of the following more general concept. Given a monoidal category C and a monoid object A in C, the center of A is defined as = ().