# Cylinders and Quadric Surfaces - PowerPoint PPT Presentation

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### Section 13.6 Cylinders and Quadric Surfaces SURFACES CYLINDERS QUADRIC SURFACES SIX QUADRIC SURFACES Section 13.6 Cylinders and Quadric Surfaces SURFACES CYLINDERS ... – PowerPoint PPT presentation

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1
Section 13.6

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SURFACES
The graph of an equation in three variables
(x, y, and z) is normally a surface. Two
examples we have already seen are planes and
spheres. Graphing surfaces can be complicated.
The best way is by finding the intersections of
the surface with well-chosen planes (e.g., the
coordinate planes). The intersections are called
cross sections those intersections with the
coordinate planes are called traces.
3
CYLINDERS
In Calculus the term cylinder denotes a much
wider class of surfaces than the familiar right
circular cylinder. A cylinder is a surface that
consists of all lines (called rulings) that are
parallel to a given line and pass through a given
plane curve (called the generating curve) An
equation of a cylinder is easy to recognize since
it will contain only two of the three variables
x, y, and z.
4