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Cubic plane curve
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Mathematics
Fields of mathematics
Algebraic geometry
Algebraic curves
Cubic curves
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1970-01-01
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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
Ancestors
(6)
Cubic curves
Algebraic curves
Algebraic geometry
Fields of mathematics
Mathematics
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