Trisectrix of MacLaurin Algebraic Equation: x3+xy2+3ax2-ay2 = 0 Degree: 3 Singularities: [0:0:1] Multiplicity: 2 Branching Number: 2 Genus: 0 Parameterized Equation:  x=a(t2-3)/(t2+1), y=at(t2-3)/(t2+1) Delta Invariant: 1 Milnor Number: 1 Tjurina Number: 1 Projective Plane: 1 node Transformation: Trisectrix of Maclaurin → Folium of Descartes                                                     x = (1/(∛4))X + (1/(∛4))Y                           y = (-√3/(∛4))X + (√3/(∛4))Y                           z = (-1/(∛4))Z   All Curves Curves by Degree Curves by Genus