# Conic

### Some articles on conic:

Conic Section - Properties
... points determine a line, five points determine a conic ... in general linear position, meaning no three collinear, there is a unique conic passing through them, which will be non-degenerate this is true over both the affine plane and ... Indeed, given any five points there is a conic passing through them, but if three of the points are collinear the conic will be degenerate (reducible, because it contains a line), and may not be ...
Conic Optimization
... Conic optimization is a subfield of convex optimization that studies a class of structured convex optimization problems called conic optimization problems ... A conic optimization problem consists of minimizing a convex function over the intersection of an affine subspace and a convex cone ... The class of conic optimization problems is a subclass of convex optimization problems and it includes some of the most well known classes of convex optimization problems, namely linear and semidefinite ...
Conic Section
... In mathematics, a conic section (or just conic) is a curve obtained as the intersection of a cone (more precisely, a right circular conical surface) with a plane ... In analytic geometry, a conic may be defined as a plane algebraic curve of degree 2 ... One of the most useful, in that it involves only the plane, is that a conic consists of those points whose distances to some point, called a focus ...