OurBigBook.comSite Source code

Gaussian curvature of a surface of revolution

For the parametrization

X (x, θ) = (x, f (x) cos θ, f (x) sin θ),

the Gaussian curvature and area element are

K = - \frac{f ^{''}}{f ( 1 + f ^{'2} ) ^{2}}, d A = f 1 + f^{'2} d x d θ .

Table of contents 33 1
- Total Gaussian curvature of a surface-of-revolution strip Gaussian curvature of a surface of revolution 19

 Ancestors (8)

 Incoming links (1)

Solution