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Folium of Descartes
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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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The
Folium of Descartes
is
a
plane
algebraic curve
defined by the
equation
: \[
x^3
+
y
^
3
- 3axy =
0
\] where \(
a
\) is
a
parameter
that determines the
shape
and
position
of the
curve
. The term "folium" comes from the
Latin
word
for "leaf," referring to the leaf-like
shape
of the
curve
.
Ancestors
(6)
Cubic curves
Algebraic curves
Algebraic geometry
Fields of mathematics
Mathematics
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