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  2. Pyramid (geometry) - Wikipedia

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

    A pyramid is a polyhedron that may be formed by connecting a polygonal base and a point, called the apex. Each base edge and apex form an isosceles triangle, called a lateral face. [7] The edges connected from the polygonal base's vertices to the apex are called lateral edges. [8] Historically, the definition of a pyramid has been described by ...

  3. Tetrahedron - Wikipedia

    en.wikipedia.org/wiki/Tetrahedron

    self-dual. Net. 3D model of a regular tetrahedron. In geometry, a tetrahedron ( pl.: tetrahedra or tetrahedrons ), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertices. The tetrahedron is the simplest of all the ordinary convex polyhedra.

  4. Egyptian geometry - Wikipedia

    en.wikipedia.org/wiki/Egyptian_geometry

    If the area of the Square is 434 units. The area of the circle is 433.7. The ostracon depicting this diagram was found near the Step Pyramid of Saqqara. A curve is divided into five sections and the height of the curve is given in cubits, palms, and digits in each of the sections. [3] [4] At some point, lengths were standardized by cubit rods ...

  5. Frustum - Wikipedia

    en.wikipedia.org/wiki/Frustum

    Frustum. In geometry, a frustum ( Latin for 'morsel'); [ a] ( pl.: frusta or frustums) is the portion of a solid (normally a pyramid or a cone) that lies between two parallel planes cutting the solid. In the case of a pyramid, the base faces are polygonal and the side faces are trapezoidal. A right frustum is a right pyramid or a right cone ...

  6. List of moments of inertia - Wikipedia

    en.wikipedia.org/wiki/List_of_moments_of_inertia

    List of moments of inertia. Moment of inertia, denoted by I, measures the extent to which an object resists rotational acceleration about a particular axis, it is the rotational analogue to mass (which determines an object's resistance to linear acceleration ). The moments of inertia of a mass have units of dimension ML 2 ( [mass] × [length] 2 ).

  7. Cavalieri's principle - Wikipedia

    en.wikipedia.org/wiki/Cavalieri's_principle

    From the definition of a cycloid, it has width 2πr and height 2r, so its area is four times the area of the circle. Calculate the area within this rectangle that lies above the cycloid arch by bisecting the rectangle at the midpoint where the arch meets the rectangle, rotate one piece by 180° and overlay the other half of the rectangle with it.

  8. Pyramidal number - Wikipedia

    en.wikipedia.org/wiki/Pyramidal_number

    Pyramidal number. Geometric representation of the square pyramidal number 1 + 4 + 9 + 16 = 30. A pyramidal number is the number of points in a pyramid with a polygonal base and triangular sides. [1] The term often refers to square pyramidal numbers, which have a square base with four sides, but it can also refer to a pyramid with any number of ...

  9. Triangular bipyramid - Wikipedia

    en.wikipedia.org/wiki/Triangular_bipyramid

    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.