## Search results

1. ### Envelopes of Geodesics on Ellipsoids

Given a family of curves, an " envelope " of the family is a curve which is at some point tangent to every curve in the family. An intuitive example of an envelope consists of a family of lines in $\mathbb{R}^2$, whose envelope is a parabola...

barkera - 2015-09-12 12:04

2. ### Singularities on Cubic Surfaces

Rodenberg's Classification of Singularities ...

barkera - 2015-09-10 15:56

Recall the discussion of double points on quartics from Quartics with Tetrahedral Symmetry . Kummer showed [1] that such surfaces paramaterised by $\lambda, \mu$ have 16 double points (counting those in complex projective space) when $... barkera - 2015-09-11 16:38 4. ### B is for Bayesian Inference ... Stat Life . Please contact us for feedback and comments about this page. Last update on 7 June ... offers you a new test for a rare disease. Only about 2.5% of people have it, but it’s best to be reassured. The test is good: it has 80% ... augustyn - 2018-06-07 13:55 5. ### The Bohemian Dome Models X 4 and X 9 are constructed in similar ways - by tracing the points through which a moving circle passes. ... barkera - 2015-09-11 16:34 6. ### Asymptotic Curves Many of our surfaces of revolution exhibit "asymptotic curves" (also referred to as "asymptotic lines"). These are defined in an analogous manner to geodesics . A geodesic has constant zero geodesic curvature , while an asymptotic curve... barkera - 2015-09-12 12:30 7. ### Constant Mean Curvature Surfaces The " mean curvature " at a point on a surface is defined as the average$(\kappa_{1} + \kappa_{2})/2\$ of its two principal curvatures . We can construct surfaces of revolution of constant mean curvature by rotating a special type of...

barkera - 2015-09-12 12:24

8. ### Hessian Surfaces

Brief introduction to Hessians ...

barkera - 2015-09-10 15:51

9. ### Constant Negative Curvature Surfaces of Revolution

Constant Negative Curvature ...

barkera - 2015-09-12 12:19