Paraboloid Geodesic
A Geodesic on a Paraboloid has differential parameters defined by
 |  |  | |
 |  | (1) | |
 | |  | |
|  | (2) | |
 | |  | (3) |
The Geodesic is then given by solving the Euler-Lagrange Differential Equation
 | (4) |
 | (5) |
References
Weinstock, R. Calculus of Variations, with Applications to Physics and Engineering. New York: Dover, p. 45, 1974.
- Busemann-Petty Problem
- Busy Beaver
- Small Multiple Method
- Small Number
- Small Retrosnub Icosicosidodecahedron
- Small Rhombicosidodecahedron
- Small Rhombicuboctahedron
- Small Rhombidodecacron
- Small Rhombidodecahedron
- Small Rhombihexacron
- Small Rhombihexahedron
- Small Snub Icosicosidodecahedron
- Small Stellapentakis Dodecahedron
- Small Stellated Dodecahedron
- Small Stellated Triacontahedron
- Small Stellated Truncated Dodecahedron
- Small Triakis Octahedron
- Small Triambic Icosahedron
- Small World Problem
- Smarandache Ceil Function
- Smarandache Constants
- Smarandache Function
- Smarandache-Kurepa Function
- Smarandache Near-to-Primorial Function
- Smarandache Paradox