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A conic section, conic or a quadratic curve is a curve obtained from a cone's surface intersecting a plane. The three types of conic section are the hyperbola, the parabola, and the ellipse; the circle is a special case of the ellipse, though it was sometimes called as a fourth type.
- Sezione conica
In matematica, e in particolare in geometria analitica e in...
- Matrix representation of conic sections
In mathematics, the matrix representation of conic sections...
- Circumconic and inconic
In Euclidean geometry, a circumconic is a conic section that...
- Sezione conica
A conic section is a curve on a plane that is defined by a \ (2^\text {nd}\)-degree polynomial equation in two variables. Conic sections are classified into four groups: parabolas, circles, ellipses, and hyperbolas. Conic sections received their name because they can each be represented by a cross section of a plane cutting through a cone.
Definition. A conic is the curve got by intersecting a plane, called the cutting plane, with a cone. The cone is a right circular cone for easy description, but any double cone with some circular cross-section will do. There are three different types of sections, the parabola, the hyperbola and the ellipse.
In geometry, two conic sections are called confocal if they have the same foci . Because ellipses and hyperbolas have two foci, there are confocal ellipses, confocal hyperbolas and confocal mixtures of ellipses and hyperbolas. In the mixture of confocal ellipses and hyperbolas, any ellipse intersects any hyperbola orthogonally (at ...
