Five points determine a conic
ID: 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.
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