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1
Three-dimensional Geometry and Topology
2.3. The. Hyperboloid. Model. and. the. Klein. Model. A sphere in Euclidean
space with radius r has constant curvature 1/r2. By analogy, since hyperbolic
space has constant curvature — 1, hyperbolic space should be a sphere of
radius i ...
William P. Thurston, Silvio Levy, 1997
2
The Mathematics Dictionary
Hyperbolic Hyperboloid asymptotic to a straight line parallel to the polar axis and
at a distance a above it. hyperbolic Riemann surface. See mi - mann — Riemann
surface. inverse hyperbolic functions. The inverses of the hyperbolic functions; ...
Suppose we start with the disk radiator and we place a mirror in the form of a
hyperboloid of revolution coincident with a set of flow lines as in Figure 6.10. We
truncate the mirror at some distance so the open end is a circle of diameter AA¢.
Roland Winston, Juan C. Miñano, Pablo Benítez, 2005
4
Modern Differential Geometry of Curves and Surfaces with ...
2Q.5| The Hyperboloid of Revolution The hyperboloid of revolution (generated as
a surface of revolution) is a special case of the elliptical hyperboloid considered
in Chapter 17. The shape of a small portion of the hyperboloid of revolution ...
5
The form of geodesic lines on the
hyperboloid of one nappe
Hadamard 1 takes Jacobi's first integral of the differential equation of geodesic
lines on quadrics, in the notation of Cay ley, makes use of the theory of functions
of a complex variahle and by this means obtains greater insight into the form ...
6
Twist & Build: Creating Non-orthogonal Architecture
A hyperboloid is an open surface generated by revolving a hyperbola about
either one of its axes. In mathematics the form was long known before
Christopher Wren (UK), in the17th century, discovered that the hyperboloid of
one sheet could ...
7
Space, Time, and Geometry
In fact, cosmological models for an expanding universe provide many examples ;
one of the simplest and most interesting is the De Sitter model.14 The De Sitter
universe can be viewed as a hyperboloid x2 + y2 + u2 + v2 - z2 = R2 imbedded ...
The definition of hyperbolic length and the definition of hyperbolic line were both
given directly, and they were shown to be invariant under the action of O+(Q). for
the hyperboloid model Un of n-dimensional hyperbolic space, we take the ...
9
Two geometrical memoirs on the general properties of cones ...
For it is well known that the sides of the asymptotic cone of a hyperboloid of one
sheet are parallel to the generatrices of the hyperboloid ; we infer, therefore, from
theorem (34,) second column, in consequence of what has been just stated, that,
...
10
Differential Geometry and Its Applications
Example 6.7.1 (Closed Geodesics on the Hyperboloid of One Sheet). Consider M
: x2 + y2 — z2 = 1 , the hyperboloid of one sheet. Recall that M is a surface of
revolution parametrized by x(M, u) = (coshw cosu, coshw sinu, sinhw). The
central ...
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Sprawdź, o czym dyskutuje się w prasie krajowej i zagranicznej oraz jak jest stosowane słowo
hyperboloid w wiadomościach.
How 16 Harvard Students Built the Ultimate BBQ Bot | WIRED
The unique hyperboloid shape of the Harvard team's smoker mimics a nuclear plant's cooling tower. It's sturdy, pulls air upward like a cyclone, ... «Wired, Lip 15»
From the archive: Correa on Chandigarh
So also the Assembly; the three elements on the roof: the hyperboloid, the pyramid and the lifttower play out a dance - drama against the sky. «Architects' Journal, Cze 15»
The changing world of high reliability interconnection
Two technologies, according to Lancella, that are helping to address market demand for smaller devices is the company's hyperboloid and ... «New Electronics, Cze 15»
813 is on That Moscow Turn Up
... Floridian levels heat on this mix as he follows up a release on Mad Decent free label Jeffree's with Body Race, out on Hyperboloid on June 1. «THUMP, Maj 15»
Really, try the brisket
To even out those hot spots in their design, students borrowed the concave shape of a power plant cooling tower, called a “hyperboloid. «Harvard Gazette, Maj 15»
Using science to create the perfect brisket
The Harvard Smoker uses a hyperboloid (hourglass) shape inspired by the design of power plant cooling towers. The design increases the ... «Harvard School of Engineering and Applied Sciences, Maj 15»
The Most Colorful Buildings in the World
For his Cathedral of Brasília, completed in 1970, architect Oscar Niemeyer constructed a striking hyperboloid structure from 16 concrete ... «Huffington Post, Kwi 15»
An Introduction to Off-Axis Conic Surfaces for Non-Axisymmetric …
This can occur for hyperboloid segments that are tilted at specific angles, and for the exclusive case of a tilt-free paraboloid. The sign of this ... «Azom.com, Kwi 15»
Smiths Connectors Offers HyperGrip® Series With Multiple Contact …
The HyperGrip is manufactured with Hypertac hyperboloid contacts ensuring low contact resistance and high signal integrity. Suitable for many ... «Med Device Online, Kwi 15»
North Perry Village power plant tunes up
The distinctive hyperboloid shape is used because it is a stable structure that uses minimal resources. On the bottom, the concrete is 3 feet thick ... «News-Herald.com, Mar 15»
