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  2. Hill's muscle model - Wikipedia

    en.wikipedia.org/wiki/Hill's_muscle_model

    Hill's elastic muscle model. F: Force; CE: Contractile Element; SE: Series Element; PE: Parallel Element. The three-element Hill muscle model is a representation of the muscle mechanical response. The model is constituted by a contractile element (CE) and two non-linear spring elements, one in series (SE) and another in parallel (PE).

  3. Voronoi diagram - Wikipedia

    en.wikipedia.org/wiki/Voronoi_diagram

    For a given set of points S = {p 1, p 2, ..., p n}, the farthest-point Voronoi diagram divides the plane into cells in which the same point of P is the farthest point. A point of P has a cell in the farthest-point Voronoi diagram if and only if it is a vertex of the convex hull of P .

  4. Ruled surface - Wikipedia

    en.wikipedia.org/wiki/Ruled_surface

    The generators of any ruled surface coalesce with one family of its asymptotic lines. For developable surfaces they also form one family of its lines of curvature. It can be shown that any developable surface is a cone, a cylinder, or a surface formed by all tangents of a space curve. [5] Developable connection of two ellipses and its development

  5. Mathematical structure - Wikipedia

    en.wikipedia.org/wiki/Mathematical_structure

    A geometry: it is equipped with a metric and is flat. A topology: there is a notion of open sets. There are interfaces among these: Its order and, independently, its metric structure induce its topology. Its order and algebraic structure make it into an ordered field.

  6. Geometric design - Wikipedia

    en.wikipedia.org/wiki/Geometric_design

    Geometrical design (GD) is a branch of computational geometry. It deals with the construction and representation of free-form curves, surfaces, or volumes [1] and is closely related to geometric modeling. Core problems are curve and surface modelling and representation.

  7. Foundations of geometry - Wikipedia

    en.wikipedia.org/wiki/Foundations_of_geometry

    The Elements begins with plane geometry, still taught in secondary school as the first axiomatic system and the first examples of formal proof. It goes on to the solid geometry of three dimensions. Much of the Elements states results of what are now called algebra and number theory, explained in geometrical language. [7]

  8. World's strangest: The road where cars roll uphill

    www.aol.com/news/2014-05-30-worlds-strangest-the...

    Even a car in neutral will look like it's starting to roll up the hill. Conspiracy theories range from magnetic forces to supernatural beings. One thing locals agree on? This road is confusing.

  9. Hilbert's axioms - Wikipedia

    en.wikipedia.org/wiki/Hilbert's_axioms

    To a system of points, straight lines, and planes, it is impossible to add other elements in such a manner that the system thus generalized shall form a new geometry obeying all of the five groups of axioms. In other words, the elements of geometry form a system which is not susceptible of extension, if we regard the five groups of axioms as valid.