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  2. Head (vessel) - Wikipedia

    en.wikipedia.org/wiki/Head_(Vessel)

    This is a torispherical head also named Semi ellipsoidal head (According to DIN 28013). The radius of the dish is 80% of the diameter of the cylinder ( r 1 = 0.8 × D o {\displaystyle r_{1}=0.8\times Do} ).

  3. Ellipsoid - Wikipedia

    en.wikipedia.org/wiki/Ellipsoid

    Simplifying above formula using properties of R G, [5] this can be also be expressed in terms of the volume of the ellipsoid V: = (,,) Unlike the expression with F(φ, k) and E(φ, k), the equations in terms of R G do not depend on the choice of an order on a, b, and c.

  4. Spherical cap - Wikipedia

    en.wikipedia.org/wiki/Spherical_cap

    An example of a spherical cap in blue (and another in red) In geometry, a spherical cap or spherical dome is a portion of a sphere or of a ball cut off by a plane.It is also a spherical segment of one base, i.e., bounded by a single plane.

  5. List of centroids - Wikipedia

    en.wikipedia.org/wiki/List_of_centroids

    elliptical area Quarter-elliptical area ... Volume Cuboid: a, b = the sides of the cuboid's base c = the third side of the cuboid Right-rectangular pyramid: a, b ...

  6. Spheroid - Wikipedia

    en.wikipedia.org/wiki/Spheroid

    These formulas are identical in the sense that the formula for S oblate can be used to calculate the surface area of a prolate spheroid and vice versa. However, e then becomes imaginary and can no longer directly be identified with the eccentricity. Both of these results may be cast into many other forms using standard mathematical identities ...

  7. List of formulas in elementary geometry - Wikipedia

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

    Perimeter#Formulas – Path that surrounds an area; List of second moments of area; List of surface-area-to-volume ratios – Surface area per unit volume; List of surface area formulas – Measure of a two-dimensional surface; List of trigonometric identities; List of volume formulas – Quantity of three-dimensional space

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  9. Volume element - Wikipedia

    en.wikipedia.org/wiki/Volume_element

    Consider the linear subspace of the n-dimensional Euclidean space R n that is spanned by a collection of linearly independent vectors , …,. To find the volume element of the subspace, it is useful to know the fact from linear algebra that the volume of the parallelepiped spanned by the is the square root of the determinant of the Gramian matrix of the : (), = ….