Conics
A conic section is any curve formed by slicing a cone with a plane: a circle, ellipse, parabola, or hyperbola, each with its own standard-form equation built from its center or vertex and how far it stretches in each direction. An ellipse's equation, (x-h)^2/a^2 + (y-k)^2/b^2 = 1, and a hyperbola's equation, (x-h)^2/a^2 - (y-k)^2/b^2 = 1, both describe curves defined by a constant relationship between distances to two fixed points called foci, unlike a parabola, which is defined by equal distance to a single point and a line: for example, an ellipse centered at the origin with a=5 and b=3 has the equation x^2/25 + y^2/9 = 1.
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