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  2. List of centroids - Wikipedia

    en.wikipedia.org/wiki/List_of_centroids

    The points on the curve (in polar coordinates) ... Cuboid: a, b = the sides of the cuboid's base c = the third side of the cuboid Right-rectangular pyramid: a, b ...

  3. Cubic equation - Wikipedia

    en.wikipedia.org/wiki/Cubic_equation

    This means that only one cube root needs to be computed, and leads to the second formula given in § Cardano's formula. The other roots of the equation can be obtained by changing of cube root, or, equivalently, by multiplying the cube root by each of the two primitive cube roots of unity , which are − 1 ± − 3 2 . {\displaystyle {\frac {-1 ...

  4. Cylindrical coordinate system - Wikipedia

    en.wikipedia.org/wiki/Cylindrical_coordinate_system

    A cylindrical coordinate system is a three-dimensional coordinate system that specifies point positions by the distance from a chosen reference axis (axis L in the image opposite), the direction from the axis relative to a chosen reference direction (axis A), and the distance from a chosen reference plane perpendicular to the axis (plane ...

  5. Parallelepiped - Wikipedia

    en.wikipedia.org/wiki/Parallelepiped

    The parallelepiped with D 4h symmetry is known as a square cuboid, which has two square faces and four congruent rectangular faces. The parallelepiped with D 3d symmetry is known as a trigonal trapezohedron , which has six congruent rhombic faces (also called an isohedral rhombohedron ).

  6. Cuboid - Wikipedia

    en.wikipedia.org/wiki/Cuboid

    General cuboids have many different types. When all of the rectangular cuboid's edges are equal in length, it results in a cube, with six square faces and adjacent faces meeting at right angles. [1] [3] Along with the rectangular cuboids, parallelepiped is a cuboid with six parallelogram. Rhombohedron is a cuboid with six rhombus faces.

  7. Cube - Wikipedia

    en.wikipedia.org/wiki/Cube

    A cube is a special case of rectangular cuboid in which the edges are equal in length. [1] Like other cuboids, every face of a cube has four vertices, each of which connects with three congruent lines. These edges form square faces, making the dihedral angle of a cube between every two adjacent squares being the interior angle of a square, 90 ...

  8. List of formulas in elementary geometry - Wikipedia

    en.wikipedia.org/wiki/List_of_formulas_in...

    Cuboid – , where , , and are the sides' length; Cylinder – π r 2 h {\textstyle \pi r^{2}h} , where r {\textstyle r} is the base's radius and h {\textstyle h} is the cone's height; Ellipsoid – 4 3 π a b c {\textstyle {\frac {4}{3}}\pi abc} , where a {\textstyle a} , b {\textstyle b} , and c {\textstyle c} are the semi-major and semi ...

  9. Centered cube number - Wikipedia

    en.wikipedia.org/wiki/Centered_cube_number

    Because of the factorization (2n + 1)(n 2 + n + 1), it is impossible for a centered cube number to be a prime number. [3] The only centered cube numbers which are also the square numbers are 1 and 9, [4] [5] which can be shown by solving x 2 = y 3 + 3y, the only integer solutions being (x,y) from {(0,0), (1,2), (3,6), (12,42)}, By substituting a=(x-1)/2 and b=y/2, we obtain x^2=2y^3+3y^2+3y+1.