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Unformatted text preview: The intersection of the surface x 2 + y 2 = z 2 (3.47) with the horizontal plane z = k is a circle, centered at the origin, of radius  k  (igure 3.42 ). x y z igure 3.42: Horizontal Sections The intersection of this surface with each of the vertical coordinate planes is a pair of lines (igure 3.43 ) and Ftting this together, we see that this is just the conical surface K of Archimedes ( 2.1 ) which we refer to in this context as simply a cone (igure 3.44 )....
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 Spring '08
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 Calculus, Equations

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