- A hyperboloid is a quadric, a type of surface in three dimensions.
A hyperboloid is a quadric surface in 3 dimensions that is generated by rotating a hyperbolic function around an axis.
The hyperbolic function produces the graph on the left, and by rotating it about the y-axis we get a hyperboloids of one sheet.
Hyperboloids can be hyperboloids of one sheet or hyperboloids of two sheets.
hyperboloid of one sheet,
hyperboloid of two sheets.
These curves are graphed using the following parametric equations:
==Analyzing a Hyperboloid from 2 Dimensionals==
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