cone (geometry) wikipedia - EAS
- See moreSee all on Wikipediahttps://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
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
• Weisstein, Eric W. "Cone". MathWorld.
• Weisstein, Eric W. "Double Cone". MathWorld.
• Weisstein, Eric W. "Generalized Cone". MathWorld.
• An interactive Spinning Cone from Maths Is Fun See moreIn 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
Wikipedia text under CC-BY-SA license - 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…Wikipedia · Text under CC-BY-SA license- Estimated Reading Time: 8 mins
- 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://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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