cone (geometry) wikipedia - EAS

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    https://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 … See more

    The perimeter of the base of a cone is called the "directrix", and each of the line segments between the directrix and apex is a "generatrix" or "generating line" of the lateral surface. (For the connection between this sense … See more

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    The definition of a cone may be extended to higher dimensions; see convex cone. In this case, one says that a convex set C in the real vector space R is a cone (with apex at the origin) if for every vector x in C and every nonnegative real number a, the vector ax is in C. In … See more

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    Volume
    The volume $${\displaystyle V}$$ of any conic solid is one third of the product of the area of the base See more

    In projective geometry, a cylinder is simply a cone whose apex is at infinity. Intuitively, if one keeps the base fixed and takes the limit as the apex goes to infinity, one obtains a cylinder, the angle of the side increasing as arctan, in the limit forming a right angle. … See more

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  2. https://simple.wikipedia.org/wiki/Cone

    WebIn common speaking and geometry, a cone is a solid object that one gets when one …

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    • https://en.wikipedia.org/wiki/Convex_cone

      An affine convex cone is the set resulting from applying an affine transformation to a convex cone. A common example is translating a convex cone by a point p: p + C. Technically, such transformations can produce non-cones. For example, unless p = 0, p + C is not a linear cone. However, it is still called an affine convex cone.
      A (linear) hyperplane is a set in the form where f is a linear functional on the vector space V. A clos…

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      • https://en.wikipedia.org/wiki/Cone_(algebraic_geometry)

        WebIn algebraic geometry, a cone is a generalization of a vector bundle. Specifically, given a …

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        • https://en.wikipedia.org/wiki/Cone_(topology)

          WebThe cone is used in algebraic topology precisely because it embeds a space as a …

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          • https://en.wikipedia.org/wiki/Geometry

            WebThe earliest recorded beginnings of geometry can be traced to ancient Mesopotamia and …

          • https://en.wikipedia.org/wiki/Nose_cone_design

            WebNext to a simple cone, the tangent ogive shape is the most familiar in hobby rocketry. The profile of this shape is formed by a segment of a circle such that the rocket body is tangent to the curve of the nose cone at its …

          • https://en.wikipedia.org/wiki/Light_cone

            WebIn special and general relativity, a light cone (or "null cone") is the path that a flash of light, emanating from a single event (localized to a single point in space and a single moment in time) and traveling in all directions, would …

          • https://mathematics.fandom.com/wiki/Cone_(geometry)

            WebA cone is a three-dimensional geometric shape that tapers smoothly from a flat, round …

          • https://en.wikipedia.org/wiki/Normal_cone

            WebNormal cone In algebraic geometry, the normal cone of a subscheme of a scheme is a …

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