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  2. Octant (solid geometry) - Wikipedia

    en.wikipedia.org/wiki/Octant_(solid_geometry)

    The horizontal plane shows the four quadrants between x - and y -axis. (Vertex numbers are little-endian balanced ternary.) An octant in solid geometry is one of the eight divisions of a Euclidean three-dimensional coordinate system defined by the signs of the coordinates. It is similar to the two-dimensional quadrant and the one-dimensional ray.

  3. Centroid - Wikipedia

    en.wikipedia.org/wiki/Centroid

    Centroid. 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. [further explanation needed] The same definition extends to any object in - dimensional Euclidean space.

  4. List of centroids - Wikipedia

    en.wikipedia.org/wiki/List_of_centroids

    List of centroids. The following is a list of centroids of various two-dimensional and three-dimensional objects. The centroid of an object in - dimensional space is the intersection of all hyperplanes that divide into two parts of equal moment about the hyperplane. Informally, it is the "average" of all points of .

  5. Vertex (geometry) - Wikipedia

    en.wikipedia.org/wiki/Vertex_(geometry)

    Vertex (geometry) A vertex of an angle is the endpoint where two lines or rays come together. In geometry, a vertex ( pl.: vertices or vertexes) is a point where two or more curves, lines, or edges meet or intersect. As a consequence of this definition, the point where two lines meet to form an angle and the corners of polygons and polyhedra ...

  6. Altitude (triangle) - Wikipedia

    en.wikipedia.org/wiki/Altitude_(triangle)

    Altitude (triangle) The three altitudes of a triangle intersect at the orthocenter, which for an acute triangle is inside the triangle. 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 containing the opposite side is called the extended base ...

  7. Ceva's theorem - Wikipedia

    en.wikipedia.org/wiki/Ceva's_theorem

    In Euclidean geometry, Ceva's theorem is a theorem about triangles. Given a triangle ABC, let the lines AO, BO, CO be drawn from the vertices to a common point O (not on one of the sides of ABC ), to meet opposite sides at D, E, F respectively. (The segments AD, BE, CF are known as cevians .) Then, using signed lengths of segments ,

  8. Barycentric coordinate system - Wikipedia

    en.wikipedia.org/wiki/Barycentric_coordinate_system

    A 3-simplex, with barycentric subdivisions of 1-faces (edges) 2-faces (triangles) and 3-faces (body). In geometry, a barycentric coordinate system is a coordinate system in which the location of a point is specified by reference to a simplex (a triangle for points in a plane, a tetrahedron for points in three-dimensional space, etc.).

  9. Points of the compass - Wikipedia

    en.wikipedia.org/wiki/Points_of_the_compass

    Points of the compass. The points of the compass are a set of horizontal, radially arrayed compass directions (or azimuths) used in navigation and cartography. A compass rose is primarily composed of four cardinal directions — north, east, south, and west —each separated by 90 degrees, and secondarily divided by four ordinal (intercardinal ...

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