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paraboloid is a quadric surface of special kind. There are two kinds of paraboloids: elliptic and hyperbolic. The elliptic paraboloid is shaped like an oval cup and can have a maximum or minimum point.
Jesse Russell, Ronald Cohn, 2012
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Computational Science and Its Applications - ICCSA 2006: 6th ...
3.2 Elliptic Paraboloidal Luminaire Without lose of generality, we can define an elliptical paraboloid as a surface in three- dimensional space. The mathematical representation of an elliptical paraboloid can be represented as 2 2 22 Zh X a Yb ...
Marina L. Gavrilova, 2006
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Barry's Advanced Construction of Buildings - Strona 262
Hyperbolic paraboloid shells The hyperbolic paraboloid shells provide dramatic shapes and structural possibilities of doubly curved shells (see Photograph 4.22). The name hyperbolic paraboloid comes from the geometry of the shape: the ...
Stephen Emmitt, Christopher Gorse, 2010
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Forest Mensuration - Strona 120
can be used to compute the volumes of polyhedrons, such as cubes, prisms, and pyramids, and the volumes of solids of revolution. such as cones, cylinders, spheres, paraboloids, and neiloids. The stems of excurrent trees are often assumed ...
Bertram Husch, Thomas W. Beers, John A. Kershaw, Jr., 2002
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Founding Figures and Commentators in Arabic Mathematics: A History ...
circumscribed around the paraboloid over their inscribed homologues are equal to half the excesses that existed before the division, as we proved in the second proposition. Similarly, let us continue to divide these generated cylindrical bodies ...
Roshdi Rashed, Nader El-Bizri, 2013
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Archimedes: What Did He Do Beside Cry Eureka? - Strona 138
If you spin the parabola z — x2 around the z-axis you obtain the paraboloid whose equation is z = x2 + y2. For any constants, t, u, j, and k, where t is not 0, any mapping of the following form takes the paraboloid into itself. (It was found by brute ...
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Shadow Techniques for Interactive and Real Time Applications
Heidrich and Seidel [Heidrich98b] showed that dual-paraboloid environment mapping can be implemented on standard graphics hardware (e.g. using OpenGL [Segal98]). Since they used a preprocessing step to compute the environment ...
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The VNR Concise Encyclopedia of Mathematics - Strona 545
By means of an affine distortion in the x- or y-direction the elliptic paraboloid can be transformed into a paraboloid of revolution, and conversely, any elliptic paraboloid can be formed from a paraboloid of rotation. - Hyperbolic paraboloid.
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Buckling of light gage steel hyperbolic paraboloid roofs - Strona 1
I . INTRODUCTION I . 1 GENERAL A complete analysis of a structure in which compressive forces exist must include a stability investigation. A hyperbolic paraboloid shell roof is such a structure and therefore the safety factor against buckling ...
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Theory of Dimensioning: An Introduction to Parameterizing Geometric ...
In its canonical form, the z-axis is the axis of the elliptic paraboloid and the origin is its vertex. It has two planes of reflexive symmetry. When a plane perpendicular to the z-axis intersects the surface, it does so in an ellipse or a point. The origin ...
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London's Top Five Truncated Hyperbolic Paraboloids
14781288582_df09747a29_z In simple terms, a hyperbolic paraboloid is an infinite curvy surface shaped like a saddle, with bits that go up and bits that go down ... «Londonist, 7月 15»
The Great Pyramid of Manhattan
Technically speaking, it is a hyperbolic paraboloid, according to Bjarke Ingels of the Bjarke Ingels Group (BIG), the Danish architectural firm responsible for W57. «The Atlantic, 4月 15»
Math Magic, Creating a Cultural Village
They solved mazes, played chords on a harmonic web, used the magic power of multiplication to activate a two-story 3D paraboloid, and turned into dancing ... «Philanthropy Magazine, 1月 15»
Gahanna students win national competition for earthquake-resistant …
They each also won a $5,000 U.S. savings bond for their design, which uses bamboo to create a hyperbolic paraboloid home. They were among four teams of ... «Columbus Dispatch, 6月 14»
11 things you didn't know about chip engineering
Wonder no longer. Your average, unsullied Pringle is a hyperbolic paraboloid; its equation is (x^2)/(a^2) - (y^2)/(b^2) = z/c. Here's where things get interesting, ... «The Week Magazine, 11月 13»
Shadow techniques
... 15:37:46 UTC #4. What about Dual-Paraboloid Shadow Mapping and its improvement, Improved Paraboloid Mapping? http://hpcg.purdue.e...Vanek11ISVC. «Devmaster, 7月 13»
A matter of focus
When light from a distant object lands on a paraboloid mirror, it reflects and focuses on a particular point. It's called, you'll be startled to know, the focus of the ... «Livemint, 6月 13»
ICFF Preview: The Parabola Chair Is An Instant Classic
To do this, he developed a shell that curved in two directions (a "hyperbolic paraboloid") that conformed to the sitter's body, and which needed a very minimal ... «Co.Design, 5月 13»
Gauchos, Kung Fu and a Paraboloid
A bright yellow banner advertising a “Kung Fu Training School” hangs in front of Elmhurst's oldest church, a simple clapboard structure built in 1734, when the ... «New York Times, 3月 13»
Origami: A Blend of Sculpture and Mathematics
The shape of a Pringle, mathematically speaking, is called a hyperbolic paraboloid. Artists have been folding paper into this shape for years. The twist? «Smithsonian, 1月 13»
