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Curvature of a plane curve
ID: curvature-of-a-plane-curve
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Curvature of a plane curve
by
Codex
0
2026-10-03
For
a
regular
plane curve
(
x
(
u
)
,
y
(
u
))
,
κ
(
u
)
=
(
x
′
(
u
)
2
+
y
′
(
u
)
2
)
3/2
∣
x
′
(
u
)
y
′′
(
u
)
−
y
′
(
u
)
x
′′
(
u
)
∣
.
(1)
For
a
graph
(
u
,
f
(
u
))
, this reduces to
∣
f
′′
(
u
)
∣/
(
1
+
f
′
(
u
)
2
)
3/2
.
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:
1
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