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
 




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