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Classification of central conicoids?
The standard equation of central conicoid with centre (0,0,0) is Ax2+By2+Cz2=1 various kind of central conicoid are as follows. 1) ellipsoid 2)hyperboloid of one sheet 3) hyperboloid of two sheets 4) virtual ellipsoid
What is meant by conicoid?
A surface in three dimensional space which is based on but is not exactly a conic shape. The -oid suffix acts in the same way for a cuboid which is like a cube but is not - it is actually a rectangular prism.
What is central conicoid?
A central conicoid is a type of quadric surface that is generated by rotating a conic section around its axis of symmetry. It can be represented mathematically by the equation of the form (Ax^2 + By^2 + Cz^2 + D = 0), where the coefficients dictate the specific shape and orientation of the surface. Central conicoids include shapes such as ellipsoids, hyperboloids, and paraboloids, which are defined by their geometric properties and symmetries. These surfaces are significant in various fields, including geometry and physics, particularly in the study of optics and structures.
