18.2.3 Evolute of a curve
The
evolute
command finds and draws the evolute of a curve.
To find the evolute from a parameterization,
evolute
takes two arguments:
C
, a curve.
t
, the parameter of the curve.
evolute(
C
,
t
)
draws and returns the evolute of the curve.
To find the evolute from a curve object,
evolute
takes
C
, a curve.
evolute(
C
)
draws and returns the evolute of
C
.
Examples
evolute
(
plot
(
x
^2))
equation
(
evolute
(
plot
(
x
^2)))
27
x
2
−16
y
3
+24
y
2
−12
y
+2=0
equation
(
evolute
([
t
^2,
t
],
t
))
16
x
3
−24
x
2
+12
x
−27
y
2
−2=0
