Quadric Surfaces: Definition & Examples

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Quadric surfaces are defined as the graphs of second-degree equations in three variables: x, y, and z. The term "quadric" derives from "quadratic," which refers to the second power in these equations. The confusion arises from the prefix "quad," which suggests four, but it relates to the four sides of a square. Thus, quadric surfaces involve equations that include terms raised to the second power. This terminology connects the geometric properties of these surfaces to their mathematical definitions.
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why are they called quadric surfaces?
 
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well the definition in my book gives:

Q quadric surface is the graph of a second-degree equation in three variables x, y, and z. So i guess cause its the graph of a quadratic equation in 3-D.
 
I have that too but i don't think the teacher would give such an easy question. thanks a bunch.
 
Why are "quadratic equation" called "quadratic" when "quad" means 4?

Apparently because a square has 4 sides!

Extends, then to "quadric" surfaces, surfaces whose equations involve 2 nd power.
 

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