Saddle roof - Wikipedia, the free encyclopedia
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A saddle roof is one which follows a convex curve about one axis and a concave curve about the other. The hyperbolic paraboloid form has been used for roofs at various times since it is easily const...
en.wikipedia.org/wiki/Saddle_roof
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In this case, they determine a hyperbolic paraboloid (Hilbert and Cohn-Vossen 1999, p. 15). ... Hyperbolic Paraboloid Embracing an Elliptic Paraboloid ...
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mathworld.wolfram.com/HyperbolicParaboloid.html
mathworld.wolfram.com/HyperbolicParaboloid.html
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A hyperbolic paraboloid is an infinite surface in three dimensions with hyperbolic and parabolic cross-sections. A couple of ways to parameterize it and write an equation are as follows:
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Also, the hyperbolas which make up the horizontal cross sections can open in either the x- or y- direction, depending on the chosen value for z. All of these are important features of any hyperbolic paraboloid.
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www.math.umn.edu/~rogness/quadrics/hypparab.shtml
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A hyperbolic paraboloid ... This figure shows a finite portion of a hyperbolic paraboloid. Its equation is fairly simple, namely z = xy. Thus, it is a smooth quadric surface. In multivariable calculus, it appears as graph of the function f(x,y) = xy.
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www.math.umn.edu/~roberts/java.dir/JGV/paraboloid1.html
www.math.umn.edu/~roberts/java.dir/JGV/paraboloid1.html
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A contour plot of the hyperbolic paraboloid is shown at right. Clearly, the level curves of the surface are hyperbolas. Because of this fact, in addition to the fact that the surface has parabolic cross-sections when sliced along the plane y = x, the surface is called a hyperbolic paraboloid.
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www.math.hmc.edu/~gu/curves_and_surfaces/surfaces/hyp-p...
www.math.hmc.edu/~gu/curves_and_surfaces/surfaces/hyp-par.html
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In Figure 2, a portion of a hyperbolic paraboloid has been mapped with text information indicating special features of the surface -- in particular, the curves which result when one of the parameters in the equation is held to a constant: The Parabolas at X=0 and Y=0, the Hyperbolas parallel to the X-Y plane,
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emsh.calarts.edu/~mathart/Annotated_HyperPara.html
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Sci-Tech Dictionary: hyperbolic paraboloid ... 5min Related Video: hyperbolic paraboloid ... hyperbolic paraboloid roof...
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www.answers.com/topic/hyperbolic-paraboloid
www.answers.com/topic/hyperbolic-paraboloid
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Applying this procedure to all of the points in yields the saddle shaped surface in the picture above. It is called a hyperbolic paraboloid.
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www.ualberta.ca/MATH/gauss/fcm/BscIdeas/Sets/Grph_Exmpl...
www.ualberta.ca/MATH/gauss/fcm/BscIdeas/Sets/Grph_ExmplR2toR.htm
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