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  2. Lateral surface - Wikipedia

    en.wikipedia.org/wiki/Lateral_surface

    The lateral surface area is the area of the lateral surface. This is to be distinguished from the total surface area, which is the lateral surface area together with the areas of the base and top. For a cube the lateral surface area would be the area of the four sides. If the edge of the cube has length a, the area of one square face Aface = a ...

  3. Triangular prism - Wikipedia

    en.wikipedia.org/wiki/Triangular_prism

    Triangular bipyramid. In geometry, a triangular prism or trigonal prism[1] is a prism with 2 triangular bases. If the edges pair with each triangle's vertex and if they are perpendicular to the base, it is a right triangular prism. A right triangular prism may be both semiregular and uniform. The triangular prism can be used in constructing ...

  4. Cross section (geometry) - Wikipedia

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

    A cross-section view of a compression seal. In geometry and science, a cross section is the non-empty intersection of a solid body in three-dimensional space with a plane, or the analog in higher- dimensional spaces. Cutting an object into slices creates many parallel cross-sections. The boundary of a cross-section in three-dimensional space ...

  5. Cavalieri's principle - Wikipedia

    en.wikipedia.org/wiki/Cavalieri's_principle

    Italian mathematician Bonaventura Cavalieri (1598–1647), from a 1682 publication of his Trattato della sfera. Cavalieri's principle was originally called the method of indivisibles, the name it was known by in Renaissance Europe. [ 2 ] Cavalieri developed a complete theory of indivisibles, elaborated in his Geometria indivisibilibus ...

  6. Augmented triangular prism - Wikipedia

    en.wikipedia.org/wiki/Augmented_triangular_prism

    The dihedral angle of an augmented triangular prism between square and triangle is the dihedral angle of a triangular prism between the base and its lateral face, / = The dihedral angle of an equilateral square pyramid between a triangular face and its base is arctan ⁡ ( 2 ) ≈ 54.7 ∘ {\textstyle \arctan \left({\sqrt {2}}\right)\approx 54. ...

  7. Cylinder - Wikipedia

    en.wikipedia.org/wiki/Cylinder

    The lateral area, L, of a circular cylinder, which need not be a right cylinder, is more generally given by =, where e is the length of an element and p is the perimeter of a right section of the cylinder. [9] This produces the previous formula for lateral area when the cylinder is a right circular cylinder.

  8. Triangular bipyramid - Wikipedia

    en.wikipedia.org/wiki/Triangular_bipyramid

    In geometry, the triangular bipyramid is the hexahedron with six triangular faces, constructed by attaching two tetrahedra face-to-face. The same shape is also called the triangular dipyramid[1][2] or trigonal bipyramid. [3] If these tetrahedra are regular, all faces of triangular bipyramid are equilateral. It is an example of a deltahedron ...

  9. Uniform antiprismatic prism - Wikipedia

    en.wikipedia.org/wiki/Uniform_antiprismatic_prism

    A pentagonal antiprismatic prism or pentagonal antiduoprism is a convex uniform 4-polytope. It is formed as two parallel pentagonal antiprisms connected by cubes and triangular prisms. The symmetry of a pentagonal antiprismatic prism is [10,2 + ,2], order 40. It has 20 triangle, 20 square and 4 pentagonal faces. It has 50 edges, and 20 vertices.

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