Contents [VG.1] [VG.2] [VG.3] [VG.4] [VG.5] [VG.6] [VG.7]
We have already looked at to types of surfaces--planes and spheres. Now we are going to investigate two other types of surfaces--cylinders and quadric surfaces.
In order sketch the graph of a surface, it is useful to determine the curves of intersection of the surface with planes parallel to the coordinate planes. These curves are called traces of the surface.
Cylinders- A cylinder is a surface that consists of all lines (called rulings) that are parallel to a given line and pass though a given plane curve.
Quadric surface- is the graph of a second-equation in three variables x, y, and z. The most general such equation is (A though J are constants):
By translation and rotation it can be brought into one of the two standard forms:
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Contents [VG.1] [VG.2] [VG.3] [VG.4] [VG.5] [VG.6] [VG.7]
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