Hyperbola

A hyperbola is a type of smooth curve formed when a plane intersects a double cone at a specific angle. It consists of two separate, mirror-image branches that open outward, resembling two curved lines. Hyperbolas are characterized by their focal points, and the difference in distances from any point on the curve to these foci remains constant. They appear in various contexts, such as satellite dishes designed to focus signals or the paths of objects in certain gravitational fields. Essentially, a hyperbola is a precise mathematical shape that describes many natural and engineered phenomena involving distances and angles.