Jul 28, 2023 · The easiest way is to show that the velocity vector of the curve in Minkowski space is always orthogonal to the hyperboloid.

Sep 11, 2020 · How to find the equation of the hyperboloid? Ask Question Asked 5 years, 3 months ago Modified 5 years, 3 months ago

Jun 15, 2021 · It is a hyperboloid of two sheets with x-axis passing through them. At the points that x-axis intersects both sheets of the hyperboloid is being referred to vertices here.

parametrization of the hyperboloid of two sheets Ask Question Asked 11 years, 10 months ago Modified 8 years, 9 months ago

Jun 15, 2025 · Btw,the asymptotic generators are also straight geodesics in the 1-sheet rotational hyperboloid ruled surface pictured. This is how the lines are generated. A generator makes …

Jun 14, 2012 · 3 I know there is a parameterization of a hyperboloid $\frac {x^2} {a^2} + \frac {y^2} {b^2} - \frac {z^2} {c^2} = 1$ in terms of $\cosh$ and $\sinh$, but I don't see how these …

Sep 19, 2023 · Asking about "the" metric on a 4-dimensional hyperboloid, or even on the 2-dimensional one, does not make any sense. There are a lot of metrics on hyperboloids.

Jul 15, 2016 · Is there a way to analytically decide through a criterion if the hyperboloid is one-sheeted or two sheeted? I know about the caveman method, namely finding the rotational axis …

Sep 7, 2014 · "A cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of one sheet. The diameter at the base is 280 m and the minimum diameter, 500 …

Sep 15, 2023 · The hyperboloid? No. Have you worked it out? What is your parametrization of “the” hyperboloid? And why the hyperbolic geometry tag?