Conic Sections Flashcards
Conic Section
The conic sections are the classes of nondegenerate curves generated by the intersections of a plane with one or two nappes of a cone. A conic section can also be realized as the zero set of a quadratic equation in two variables.
Ellipse
A conic section with eccentricity less than one. It resembles a squashed circle.
Hyperbola
A hyperbola is a conic section with eccentricity greater than one and consists of two separate branches.
Locus
A locus is the set of all points (usually forming a curve or surface) satisfying some condition. For example, the locus of points in a plane that are equidistant from a given point is a circle.
Parabola
A parabola is a conic section with eccentricity equal to one. Parabolas appear as the graphs of quadratic equations and the trajectories of projectiles.