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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. List of centroids - Wikipedia

    en.wikipedia.org/wiki/List_of_centroids

    1 2-D Centroids. 2 3-D Centroids. 3 See also. ... elliptical area Quarter-elliptical area ... the volume and the centroid coordinates ...

  4. Nose cone design - Wikipedia

    en.wikipedia.org/wiki/Nose_cone_design

    A bi-conic nose cone shape is simply a cone with length L 1 stacked on top of a frustum of a cone (commonly known as a conical transition section shape) with length L 2, where the base of the upper cone is equal in radius R 1 to the top radius of the smaller frustum with base radius R 2. = +

  5. 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

  6. Tree measurement - Wikipedia

    en.wikipedia.org/wiki/Tree_measurement

    Volume= h(π/3)(r 1 2 + r 2 2 +r 1 r 2) Frustum of a cone. A similar, but more complex formula can be used where the trunk is significantly more elliptical in shape where the lengths of the major and minor axis of the ellipse are measured at the top and bottom of each segment. [2] [8]

  7. 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.

  8. 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 ...

  9. Elliptic cylindrical coordinates - Wikipedia

    en.wikipedia.org/wiki/Elliptic_cylindrical...

    The three surfaces intersect at the point P (shown as a black sphere) with Cartesian coordinates roughly (2.182, -1.661, 1.0). The foci of the ellipse and hyperbola lie at x = ±2.0. Elliptic cylindrical coordinates are a three-dimensional orthogonal coordinate system that results from projecting the two-dimensional elliptic coordinate system ...