Quadric Surfaces: Definition & Examples

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Homework Help Overview

The discussion revolves around the concept of quadric surfaces, specifically their definition and the reasoning behind their nomenclature. Participants explore the relationship between quadratic equations and their representation in three-dimensional space.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the definition of quadric surfaces as graphs of second-degree equations in three variables. Questions arise regarding the terminology, particularly the use of "quad" in "quadratic" and "quadric," leading to exploration of the geometric implications of these terms.

Discussion Status

The conversation is ongoing, with participants sharing definitions and questioning the simplicity of the initial inquiry. Some express skepticism about the depth of the question, while others provide insights into the terminology used in mathematics.

Contextual Notes

There is a mention of potential assumptions regarding the complexity of the question posed by the teacher, indicating a possible expectation for deeper understanding beyond basic definitions.

qqchico
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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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