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Total Gaussian curvature of a surface-of-revolution strip
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Geometry and topology
Differential geometry
Surface of revolution
First fundamental form of an arc-length surface of revolution
Curvatures of an arc-length surface of revolution
Gaussian curvature of a surface of revolution
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2026-09-24
Updated
2026-09-24
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For
a
≤
x
≤
b
, the curvature
formula
is an exact
derivative
and gives
∫
K
d
A
=
−
2
π
[
1
+
f
′2
f
′
]
a
b
.
(1)
Ancestors
(9)
Gaussian curvature of a surface of revolution
Curvatures of an arc-length surface of revolution
First fundamental form of an arc-length surface of revolution
Surface of revolution
Differential geometry
Geometry and topology
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2024
/
ib
/
Paper 4
/
11G
/
b
/
Solution
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