In geometry, a hyperboloid of revolution, sometimes called a circular hyperboloid, is the surface generated by rotating a hyperbola around one of its principal...

Hyperboloid structures are architectural structures designed using a hyperboloid in one sheet. Often these are tall structures, such as towers, where the...

In geometry, the hyperboloid model, also known as the Minkowski model after Hermann Minkowski, is a model of n-dimensional hyperbolic geometry in which...

the hyperboloid model (Hy) with as center the center of the hyperboloid (O) and the projection plane tangent to the nearest point of the hyperboloid. Given...

another on-shell theorem. Mass shell is a synonym for mass hyperboloid, meaning the hyperboloid in energy–momentum space describing the solutions to the...

form the hyperboloid structure are usually anchored at each end by bending the tip into a groove or notch in the housing. Whilst hyperboloid contacts...

This page is a list of hyperboloid structures. These were first applied in architecture by Russian engineer Vladimir Shukhov (1853–1939). Shukhov built...

of the disk model goes to infinity. The hyperboloid model or Lorentz model employs a 2-dimensional hyperboloid of revolution (of two sheets, but using...

the hyperboloid model of the hyperbolic plane, the hyperboloid is referred to as a pseudosphere. This usage of the word is because the hyperboloid can...

related to the hyperboloid model projectively. If we have a point [t, x1, ..., xn] on the upper sheet of the hyperboloid of the hyperboloid model, thereby...

The Garin Death Ray, also known as The Death Box and The Hyperboloid of Engineer Garin (Russian: Гиперболоид инженера Гарина), is a science fiction novel...

Cooling towers vary in size from small roof-top units to very large hyperboloid structures that can be up to 200 metres (660 ft) tall and 100 metres...

circular section is a circle on a quadric surface (such as an ellipsoid or hyperboloid). It is a special plane section of the quadric, as this circle is the...

engineer and architect Vladimir Shukhov, is the world's first diagrid hyperboloid structure. The tower is today located in the former estate of Yury Nechaev-Maltsov...

the surface of revolution swept out by L is a hyperboloid of one sheet. For instance, the three hyperboloids visible in the illustration can be formed in...

a complex plane with the real line. For split-quaternions there are hyperboloids of hyperbolic and imaginary units that generate split-complex or ordinary...

mathematician during the late 19th and early 20th century he created hyperboloid, thin shell and tensile structures of extraordinary refinement and elegance...

quadrics) and five non-degenerate quadrics (ellipsoid, paraboloids and hyperboloids), which are detailed in the following tables. The eight remaining quadrics...

A hyperboloid of one sheet, which is a surface of revolution contains a pencil of circles which is mapped onto a pencil of circles. A hyperboloid of...

everywhere. The Gaussian curvature can also be negative, as in the case of a hyperboloid or the inside of a torus. Gaussian curvature is an intrinsic measure...

hyperboloid model is immediate through the action of the connected component of S O ( n , 1 ) {\displaystyle \mathrm {SO} (n,1)} on the hyperboloid....

cases of Apollonius' problem. In the hyperboloid model they are represented by intersections of the hyperboloid with planes whose normal lies on the asymptotic...

distinct lines that lie on the surface. The hyperbolic paraboloid and the hyperboloid of one sheet are doubly ruled surfaces. The plane is the only surface...

central columns of porphyry supporting a great hyperboloid surrounded by two rings of twelve hyperboloids (currently under construction). The central vault...

Oblate spheroid Prolate spheroid Ellipsoid Cone (geometry) Hyperboloid of one sheet Hyperboloid of two sheets Hyperbolic paraboloid (a ruled surface) Paraboloid...

equal to +1 Hyperbolic (album), a 2024 album by Pnau Exaggeration Hyperboloid Hyperboloid structure This disambiguation page lists articles associated with...

cylinders the sphere other quadrics: spheroid, ellipsoid, paraboloid and hyperboloids. Advanced topics include: projective geometry of three dimensions (leading...

helicoid form to movement and the hyperboloid to light. Concerning ruled surfaces, he said: Paraboloids, hyperboloids and helicoids, constantly varying...

its extensions) forms the axis of the hyperboloid. The receiver is located at the point where three hyperboloids intersect. It is sometimes incorrectly...

a certain line in a Euclidean space associated with an ellipsoid or hyperboloid, generalizing the major and minor axes of an ellipse or hyperbola. The...