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Kappa Curve
Cartesian equation:
y
2
(
x
2
+
y
2
)
=
a
2
x
2
y^{2}(x^{2} + y^{2}) = a^{2}x^{2}
y
2
(
x
2
+
y
2
)
=
a
2
x
2
View the interactive version of this curve.
Description
The kappa curve is also called Gutschoven's curve. It was first studied by G. van Gutschoven around
1662
.
The curve was studied by
Newton
and, some years later, by
Johann Bernoulli
.
Associated Curves
Definitions of the Associated curves
Evolute
Involute 1
Involute 2
Inverse curve wrt origin
Inverse wrt another circle
Pedal curve wrt origin
Pedal wrt another point
Negative pedal curve wrt origin
Negative pedal wrt another point
Caustic wrt horizontal rays
Caustic curve wrt another point