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  2. Conical surface - Wikipedia

    en.wikipedia.org/wiki/Conical_surface

    In general, a conical surface consists of two congruent unbounded halves joined by the apex. Each half is called a nappe, and is the union of all the rays that start at the apex and pass through a point of some fixed space curve. [2] Sometimes the term "conical surface" is used to mean just one nappe. [3]

  3. Cone - Wikipedia

    en.wikipedia.org/wiki/Cone

    A cone is a three-dimensional geometric shape that tapers smoothly from a flat base (frequently, though not necessarily, circular) to a point called the apex or vertex. A cone is formed by a set of line segments , half-lines , or lines connecting a common point, the apex, to all of the points on a base that is in a plane that does not contain ...

  4. Conic section - Wikipedia

    en.wikipedia.org/wiki/Conic_section

    A conic is the curve obtained as the intersection of a plane, called the cutting plane, with the surface of a double cone (a cone with two nappes).It is usually assumed that the cone is a right circular cone for the purpose of easy description, but this is not required; any double cone with some circular cross-section will suffice.

  5. Cone (algebraic geometry) - Wikipedia

    en.wikipedia.org/wiki/Cone_(algebraic_geometry)

    More generally, given a vector bundle (finite-rank locally free sheaf) E on X, if R=Sym(E *) is the symmetric algebra generated by the dual of E, then the cone ⁡ is the total space of E, often written just as E, and the projective cone ⁡ is the projective bundle of E, which is written as ().

  6. Descriptive geometry - Wikipedia

    en.wikipedia.org/wiki/Descriptive_geometry

    General solutions are a class of solutions within descriptive geometry that contain all possible solutions to a problem. The general solution is represented by a single, three-dimensional object, usually a cone, the directions of the elements of which are the desired direction of viewing (projection) for any of an infinite number of solution views.

  7. Ruled surface - Wikipedia

    en.wikipedia.org/wiki/Ruled_surface

    Examples include the plane, the lateral surface of a cylinder or cone, a conical surface with elliptical directrix, the right conoid, the helicoid, and the tangent developable of a smooth curve in space. A ruled surface can be described as the set of points swept by a moving straight line.

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  9. Conical hill - Wikipedia

    en.wikipedia.org/wiki/Conical_hill

    A conical hill (also cone or conical mountain) is a landform with a distinctly conical shape. It is usually isolated or rises above other surrounding foothills, and is often of volcanic origin. Conical hills or mountains occur in different shapes and are not necessarily geometrically-shaped cones; some are more tower-shaped or have an ...

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