Minimal surfaces

Minimal surface of revolution

In mathematics, a minimal surface of revolution or minimum surface of revolution is a surface of revolution defined from two points in a half-plane, whose boundary is the axis of revolution of the surface. It is generated by a curve that lies in the half-plane and connects the two points; among all the surfaces that can be generated in this way, it is the one that minimizes the surface area. A basic problem in the calculus of variations is finding the curve between two points that produces this minimal surface of revolution. (Wikipedia).

Minimal surface of revolution
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Related pages

Minimal surface | Point (geometry) | Rotation around a fixed axis | Carl Wolfgang Benjamin Goldschmidt | Surface of revolution | Mathematics | Curve | Surface area | Mathematical optimization | Catenoid | Graph of a function | Calculus of variations | Soap film | Catenary | Mean curvature | Differentiable function | Circle