Five points determine a conic
= Five points determine a conic
{wiki=Five_points_determine_a_conic}
The statement "five points determine a conic" refers to a fundamental result in projective geometry. It states that given any five points in a plane, no three of which are collinear, there exists a unique conic section (which can be an ellipse, parabola, hyperbola, or degenerate conic) that passes through all five points.