e/Five points determine a conic

Information
has gloss	eng: In geometry, just as two (distinct) points determine a line (a degree-1 plane curve), five points determine a conic (a degree-2 plane curve). There are additional subtleties for conics that do not exist for lines, and thus the statement and its proof for conics are both more technical than for lines.
lexicalization	eng: five points determine a conic
instance of	(noun) (geometry) a curve generated by the intersection of a plane and a circular cone conic, conic section

Media
media:img	Apollonian circles.svg