Definition of Catenoid. Meaning of Catenoid. Synonyms of Catenoid

- In geometry, a catenoid is a type of surface, arising by rotating a catenary curve about an axis (a surface of revolution). It is a minimal surface, meaning...
- It is the third minimal surface to be known, after the plane and the catenoid. It was described by Euler in 1774 and by Jean Baptiste Meusnier in 1776...
- cartographic projection necessarily distorts at least some distances. The catenoid and the helicoid are two very different-looking surfaces. Nevertheless...
- (physics) Averaged Lagrangian Brachistochrone curve Calculus of variations Catenoid Cycloid Dirichlet principle Euler–Lagrange equation cf. Action (physics)...
- other types of surfaces. Catalan's minimal surface Costa's minimal surface Catenoid Enneper surface Gyroid Helicoid Lidinoid Riemann's minimal surface Saddle...
- or cylindrical shape, which is false. The actual minimum surface is the catenoid. Find the shape of a bridge capable of sustaining given amount of traffic...
- of the catenary, and the minimal surface of revolution will thus be a catenoid. Solutions based on discontinuous functions may also be defined. In particular...
- with this metric is embedded in euclidean three-space the image is the catenoid C {\displaystyle {\mathcal {C}}} shown above, with ρ {\displaystyle \rho...
- In 1776 Jean Baptiste Marie Meusnier discovered that the helicoid and catenoid satisfy the equation and that the differential expression corresponds to...
- less likely to cause it to buckle because in an inverted paraboloid or catenoid the pressures are nearer to being exclusively compressive. The individual...