A cubic plane curve is
a type of
algebraic curve defined by
a polynomial equation of degree three in two variables, typically represented in the form: \[
F(
x,
y) = ax^
3 + bx^2y + cxy^
2 + dy^
3 + ex^
2 + fy^
2 + gx + hy +
i =
0 \] where \(
a,
b,
c,
d, e,
f,
g,
h,
i\) are
constants, and the
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