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  2. Gabriel's horn - Wikipedia

    en.wikipedia.org/wiki/Gabriel's_horn

    Graph of = /. Gabriel's horn is formed by taking the graph of =, with the domain and rotating it in three dimensions about the x axis. The discovery was made using Cavalieri's principle before the invention of calculus, but today, calculus can be used to calculate the volume and surface area of the horn between x = 1 and x = a, where a > 1. [6]

  3. Desmos - Wikipedia

    en.wikipedia.org/wiki/Desmos

    The name Desmos came from the Greek word δεσμός which means a bond or a tie. [6] In May 2022, Amplify acquired the Desmos curriculum and teacher.desmos.com. Some 50 employees joined Amplify. Desmos Studio was spun off as a separate public benefit corporation focused on building calculator products and other math tools. [7]

  4. Specific surface area - Wikipedia

    en.wikipedia.org/wiki/Specific_surface_area

    Specific surface area (SSA) is a property of solids defined as the total surface area (SA) of a material per unit mass, [1] (with units of m 2 /kg or m 2 /g). Alternatively, it may be defined as SA per solid or bulk volume [ 2 ] [ 3 ] (units of m 2 /m 3 or m −1 ).

  5. Squircle - Wikipedia

    en.wikipedia.org/wiki/Squircle

    The area inside the squircle can be ... This shape can be visualized using online graphing calculators such as Desmos. [7 ... nevertheless the surface is a ...

  6. Shoelace formula - Wikipedia

    en.wikipedia.org/wiki/Shoelace_formula

    Shoelace scheme for determining the area of a polygon with point coordinates (,),..., (,). The shoelace formula, also known as Gauss's area formula and the surveyor's formula, [1] is a mathematical algorithm to determine the area of a simple polygon whose vertices are described by their Cartesian coordinates in the plane. [2]

  7. Spherical coordinate system - Wikipedia

    en.wikipedia.org/wiki/Spherical_coordinate_system

    The radial distance upward along the zenith–axis from the point of origin to the surface of the sphere is assigned the value unity, or 1. + In this image, r appears to equal 4/6, or .67, (of unity); i.e., four of the six 'nested shells' to the surface.

  8. n-sphere - Wikipedia

    en.wikipedia.org/wiki/N-sphere

    The surface area, or properly the ⁠ ⁠-dimensional volume, of the ⁠ ⁠-sphere at the boundary of the ⁠ (+) ⁠-ball of radius ⁠ ⁠ is related to the volume of the ball by the differential equation

  9. Surface of revolution - Wikipedia

    en.wikipedia.org/wiki/Surface_of_revolution

    A portion of the curve x = 2 + cos(z) rotated around the z-axis A torus as a square revolved around an axis parallel to one of its diagonals.. A surface of revolution is a surface in Euclidean space created by rotating a curve (the generatrix) one full revolution around an axis of rotation (normally not intersecting the generatrix, except at its endpoints). [1]

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