Paraboloid
The Surface of Revolution of the Parabola. It is a Quadratic Surface which can be specified bythe Cartesian equation
 | (1) |
 |  |  | (2) |
 | |  | (3) |
 | |  | (4) |
where
, 
, and 
is the height.The Volume of the paraboloid is
 | (5) |
over the paraboloid is | (6) |
 | (7) |
References
Beyer, W. H. (Ed.) CRC Standard Mathematical Tables, 28th ed. Boca Raton, FL: CRC Press, p. 133, 1987. Gray, A. ``The Paraboloid.'' §11.5 in Modern Differential Geometry of Curves and Surfaces. Boca Raton, FL: CRC Press, pp. 221-222, 1993.
- Plücker Relations
- Plücker's Conoid
- Plücker's Equations
- Pochhammer Symbol
- Pocklington-Lehmer Test
- Pocklington's Criterion
- Pocklington's Theorem
- Poggendorff Illusion
- Pohlke's Theorem
- Poincaré-Birkhoff Fixed Point Theorem
- Poincaré Conjecture
- Poincaré Duality
- Poincaré Formula
- Poincaré-Fuchs-Klein Automorphic Function
- Poincaré Group
- Poincaré-Hopf Index Theorem
- Poincaré Hyperbolic Disk
- Poincaré Manifold
- Poincaré Metric
- Poincaré Separation Theorem
- Poincaré's Holomorphic Lemma
- Poincaré's Lemma
- Poinsot Solid
- Poinsot's Spirals
- Point