Relationships between the number of Singularities of plane algebraic curves.
Given a Plane Curve,
(1) | |||
(2) | |||
(3) | |||
(4) |
See also Algebraic Curve, Bioche's Theorem, Bitangent, Cusp, Genus (Surface), Inflection Point, Klein's Equation, Node (Algebraic Curve), Stationary Tangent
References
Boyer, C. B. A History of Mathematics. New York: Wiley, pp. 581-582, 1968.
Coolidge, J. L. A Treatise on Algebraic Plane Curves. New York: Dover, pp. 99-118, 1959.