What are the practical applications of symmetric equations?

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The discussion centers on the practical applications of symmetric equations, with a focus on their use in finding intercepts on various axes. Participants express uncertainty about other instances where symmetric equations may be beneficial, noting that parametric equations can also achieve similar results. The conversation highlights a lack of familiarity with the term "symmetric equation," leading to confusion about its applications in mathematics and physics. Overall, the consensus indicates that symmetric equations are primarily recognized for intercept calculations, with limited awareness of broader uses.

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  • Understanding of symmetric equations in mathematics
  • Familiarity with parametric equations
  • Basic knowledge of linear equations and their forms
  • Concept of intercepts in coordinate geometry
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  • Research the applications of symmetric equations in advanced geometry
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  • Study the use of symmetric functions in calculus, specifically f(x)=x^2
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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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