What are the practical applications of symmetric equations?

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Discussion Overview

The discussion revolves around the practical applications of symmetric equations, particularly in the context of mathematics and their relevance in various scenarios. Participants explore the utility of symmetric equations beyond finding intercepts on axes, questioning their broader applicability in different mathematical contexts.

Discussion Character

  • Exploratory, Debate/contested

Main Points Raised

  • Some participants note that symmetric equations are primarily used for finding intercepts on axes.
  • Others express uncertainty about the term "symmetric equation" and seek clarification on its definition and context.
  • One participant mentions that symmetric equations can also be represented using parametric equations.
  • There is a suggestion that the discussion may benefit from specific examples or visual aids, such as textbooks.
  • A participant indicates a lack of familiarity with the term and suggests that applications may be more relevant in mathematics than in physics.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the applications of symmetric equations, with multiple competing views and a general lack of clarity about the term itself.

Contextual Notes

Some participants express confusion regarding the terminology and its specific applications, indicating a potential limitation in understanding the context of symmetric equations.

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It seems that the only applicable use I've seen is in finding intercepts on various axes. Are there any other instances where this form would used? What else can this be used for?
 
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You have to be more specific.
 
Matterwave said:
You have to be more specific.

I haven't seen symmetric equations used for anything but finding intercepts, but they can be found using the parametric equations as well. I was wondering in what other instances would it be helpful/necessary to use this form. E.g. a linear equation is helpful when there are certain terms vs point slope
 
By symmetric equation, do you mean a symmetric function? Like f(x)=x^2? Symmetric about what? This is what I meant by "more specific". Maybe you have a textbook with pictures to show?

As it stands, I have no idea what you're talking about.
 
Matterwave said:
By symmetric equation, do you mean a symmetric function? Like f(x)=x^2? Symmetric about what? This is what I meant by "more specific". Maybe you have a textbook with pictures to show?

As it stands, I have no idea what you're talking about.

http://tutorial.math.lamar.edu/Classes/CalcIII/EqnsOfLines.aspx Symmetric equations of the line
 
Ok, well, as you can probably figure out by the fact that I don't even recall this terminology, I have never encountered another use for this way of expressing the equation of a line. But I am in physics. Maybe someone in math will know of some applications.
 

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