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  2. Head (vessel) - Wikipedia

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

    This is also called an elliptical head. The shape of this head is more economical, because the height of the head is just a fraction of the diameter. Its radius varies between the major and minor axis; usually the ratio is 2:1.

  3. Drainage equation - Wikipedia

    en.wikipedia.org/wiki/Drainage_equation

    A drainage equation is an equation describing the relation between depth and spacing of parallel subsurface drains, depth of the watertable, depth and hydraulic conductivity of the soils.

  4. Ellipsoid - Wikipedia

    en.wikipedia.org/wiki/Ellipsoid

    Given: Ellipsoid ⁠ x 2 / a 2 ⁠ + ⁠ y 2 / b 2 ⁠ + ⁠ z 2 / c 2 ⁠ = 1 and the plane with equation n x x + n y y + n z z = d, which have an ellipse in common. Wanted: Three vectors f 0 (center) and f 1 , f 2 (conjugate vectors), such that the ellipse can be represented by the parametric equation

  5. Jacobi elliptic functions - Wikipedia

    en.wikipedia.org/wiki/Jacobi_elliptic_functions

    Plot of the Jacobi ellipse (x 2 + y 2 /b 2 = 1, b real) and the twelve Jacobi elliptic functions pq(u,m) for particular values of angle φ and parameter b. The solid curve is the ellipse, with m = 11/b 2 and u = F(φ,m) where F(⋅,⋅) is the elliptic integral of the first kind (with parameter =). The dotted curve is the unit circle.

  6. Steinmetz solid - Wikipedia

    en.wikipedia.org/wiki/Steinmetz_solid

    The generation of a bicylinder Calculating the volume of a bicylinder. A bicylinder generated by two cylinders with radius r has the volume =, and the surface area [1] [6] =.. The upper half of a bicylinder is the square case of a domical vault, a dome-shaped solid based on any convex polygon whose cross-sections are similar copies of the polygon, and analogous formulas calculating the volume ...

  7. Elliptical dome - Wikipedia

    en.wikipedia.org/wiki/Elliptical_dome

    An elliptical dome at the San Domenico, Modena, in Modena, Italy An elliptical dome , or an oval dome , is a dome whose bottom cross-section takes the form of an ellipse . [ 1 ] Technically, an ellipsoidal dome has a circular cross-section, so is not quite the same.

  8. Flattening - Wikipedia

    en.wikipedia.org/wiki/Flattening

    A circle of radius a compressed to an ellipse. A sphere of radius a compressed to an oblate ellipsoid of revolution.. Flattening is a measure of the compression of a circle or sphere along a diameter to form an ellipse or an ellipsoid of revolution respectively.

  9. Elliptic coordinate system - Wikipedia

    en.wikipedia.org/wiki/Elliptic_coordinate_system

    Elliptic coordinate system. In geometry, the elliptic coordinate system is a two-dimensional orthogonal coordinate system in which the coordinate lines are confocal ellipses and hyperbolae.