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.

The second method is actually just applying the general definition of volume integration over three dimensions (hence the triple integral); in this situation, however, the axial symmetry of the …

Sep 11, 2020 · How to find the equation of the hyperboloid? Ask Question Asked 5 years, 2 months ago Modified 5 years, 2 months ago

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

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

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 …

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 …

How do we find that these are geodesics on the hyperboloid of one sheet? In my book I found a proposition, according to which any normal section of a surface is a geodesic. Did you use this …

May 3, 2022 · The question is not whether a hyperboloid of one sheet is the only surface that contains the three skew lines, but how to construct such a hyperboloid of one sheet.

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 …