Geometry of Conics

Conics are shapes formed by the intersection of a plane and a double cone. They include ellipses, parabolas, and hyperbolas. An ellipse resembles an elongated circle, while a parabola is a U-shaped curve, often seen in projectile paths. A hyperbola consists of two separate curves, resembling two mirrored open-ended shapes. Each conic has specific properties and equations defining it, describing how points relate in a plane. Conics are essential in various fields, including physics, engineering, and astronomy, as they often describe orbits, trajectories, and other natural phenomena.