Cissoid of Diocles Algebraic Equation: x3+xy2-2ay2 = 0 Degree: 3 Singularities: [0:0:1] Multiplicity: 2 Branching Number: 1 Genus: 0 Parameterized Equation:  x = 2at2/(1+t2), y = 2at3/(1+t2) Delta Invariant: 1 Milnor Number: 2 Tjurina Number: 2 Projective Plane: 1 cusp Transformation: Cissoid of Diocles → Semicubical Parabola                           x = X                           y = (1/(√2))Y                           z = (1/2)X+Z                          All Curves Curves by Degree Curves by Genus