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  2. Apex (geometry) - Wikipedia

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

    The term apex may used in different contexts: In an isosceles triangle, the apex is the vertex where the two sides of equal length meet, opposite the unequal third side. [1] Here the point A is the apex. In a pyramid or cone, the apex is the vertex at the "top" (opposite the base). In a pyramid, the vertex is the point that is part of all the ...

  3. Cuboctahedron - Wikipedia

    en.wikipedia.org/wiki/Cuboctahedron

    (In the case of the cuboctahedron, the center is in fact the apex of 6 square and 8 triangular pyramids). This radial equilateral symmetry is a property of only a few uniform polytopes, including the two-dimensional hexagon, the three-dimensional cuboctahedron, and the four-dimensional 24-cell and 8-cell (tesseract). [15]

  4. Apex graph - Wikipedia

    en.wikipedia.org/wiki/Apex_graph

    In graph theory, a branch of mathematics, an apex graph is a graph that can be made planar by the removal of a single vertex. The deleted vertex is called an apex of the graph. It is an apex, not the apex because an apex graph may have more than one apex; for example, in the minimal nonplanar graphs K 5 or K 3,3, every vertex is an apex. The ...

  5. Central angle - Wikipedia

    en.wikipedia.org/wiki/Central_angle

    Angle AOB is a central angle. A central angle is an angle whose apex (vertex) is the center O of a circle and whose legs (sides) are radii intersecting the circle in two distinct points A and B. Central angles are subtended by an arc between those two points, and the arc length is the central angle of a circle of radius one (measured in radians). [1]

  6. Base (geometry) - Wikipedia

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

    The third vertex opposite the base is called the apex. The extended base of a triangle (a particular case of an extended side ) is the line that contains the base. When the triangle is obtuse and the base is chosen to be one of the sides adjacent to the obtuse angle , then the altitude dropped perpendicularly from the apex to the base ...

  7. One-form (differential geometry) - Wikipedia

    en.wikipedia.org/wiki/One-form_(differential...

    In the language of differential geometry, this derivative is a one-form on the punctured plane. It is closed (its exterior derivative is zero) but not exact , meaning that it is not the derivative of a 0-form (that is, a function): the angle θ {\\displaystyle \\theta } is not a globally defined smooth function on the entire punctured plane.