Brioschi Formula
For a curve with Metric
 | (1) |
, 
, and 
is the first Fundamental Form, the Gaussian Curvature is | (2) |
 |  |  | |
| (3) | |||
 | |  |
which can also be written
 |  |  | |
| (4) | |||
|  | (5) |
See also Fundamental Forms, Gaussian Curvature
References
Gray, A. Modern Differential Geometry of Curves and Surfaces. Boca Raton, FL: CRC Press, pp. 392-393, 1993.
- Pentagonal Pyramid
- Pentagonal Pyramidal Number
- Pentagonal Rotunda
- Pentagonal Tiling
- Pentagram
- Pentagrammic Antiprism
- Pentagrammic Concave Deltahedron
- Pentagrammic Crossed Antiprism
- Pentagrammic Deltahedron
- Pentagrammic Dipyramid
- Pentagrammic Prism
- Pentakaidecagon
- Pentakis Dodecahedron
- Pentalpha
- Pentangle
- Pentatope
- Pentatope Number
- Pentomino
- Percent
- Percentage Error
- Percolation Theory
- Percolation Threshold
- Perfect Box
- Perfect Cubic
- Perfect Cuboid