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2. Cone - Wikipedia

   en.wikipedia.org/wiki/Cone

   A right circular cone and an oblique circular cone A double cone (not shown infinitely extended) 3D model of a 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 that is not contained in the base.

3. Conical surface - Wikipedia

   en.wikipedia.org/wiki/Conical_surface

   An elliptic cone, a special case of a conical surface, shown truncated for simplicity In geometry , a conical surface is an unbounded three-dimensional surface formed from the union of infinite lines that pass through a fixed point and a space curve .

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. Convex cone - Wikipedia

   en.wikipedia.org/wiki/Convex_cone

   A subset of a vector space over an ordered field is a cone (or sometimes called a linear cone) if for each in and positive scalar in , the product is in . [2] Note that some authors define cone with the scalar ranging over all non-negative scalars (rather than all positive scalars, which does not include 0). [3]

7. Cross section (geometry) - Wikipedia

   en.wikipedia.org/wiki/Cross_section_(geometry)

   Colored regions are cross-sections of the solid cone. Their boundaries (in black) are the named plane sections. A cross section of a polyhedron is a polygon. The conic sections – circles, ellipses, parabolas, and hyperbolas – are plane sections of a cone with the cutting planes at various different angles, as seen in the diagram at left.

8. Cone (topology) - Wikipedia

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

   The cone over a closed interval I of the real line is a filled-in triangle (with one of the edges being I), otherwise known as a 2-simplex (see the final example). The cone over a polygon P is a pyramid with base P. The cone over a disk is the solid cone of classical geometry (hence the concept's name). The cone over a circle given by

9. Surface (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Surface_(mathematics)

   A sphere is the surface of a solid ball, here having radius r. In mathematics, a surface is a mathematical model of the common concept of a surface.It is a generalization of a plane, but, unlike a plane, it may be curved; this is analogous to a curve generalizing a straight line.