Solving the Mystery of Quadratic Equations

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Discussion Overview

The discussion revolves around the etymology of the term "quadratic" in relation to quadratic equations and polynomials of degree two. Participants explore the connection between the term and its Latin roots, as well as the implications of the word "square" in geometry.

Discussion Character

  • Exploratory, Conceptual clarification, Meta-discussion

Main Points Raised

  • Bob questions why quadratic equations are associated with the term "quadratic," given that "quad" suggests four.
  • One participant cites Wikipedia, stating that "quadratic" comes from the Latin "quadratus," meaning "square," as the leading term involves squaring the variable.
  • Another participant poses a rhetorical question about the geometric interpretation of a rectangle with equal sides, implying it should be called a square.
  • A further contribution references a website that elaborates on the etymology of "quadratic," noting it means "to make square," while also acknowledging the connection to the number four in the context of a square's sides.

Areas of Agreement / Disagreement

Participants generally agree on the Latin origin of the term "quadratic" relating to squaring, but there is some playful contention regarding the implications of the term "quad" and its association with the number four.

Contextual Notes

The discussion touches on linguistic interpretations and geometric concepts, but does not resolve the playful ambiguity surrounding the term "quad" and its implications.

Who May Find This Useful

Readers interested in the etymology of mathematical terms, the relationship between language and mathematics, or those curious about the conceptual foundations of quadratic equations may find this discussion relevant.

Wannabeagenius
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Hi All,

I have a semantics question.

Why is the quadratic equation called what it is?

A polynomial of degree two is called a quadratic polymonial but I've always associated the root quad to mean four!

Thanks in advance.

Bob:smile:
 
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From wikipedia, "Quadratic equations are called quadratic because quadratus is Latin for "square"; in the leading term the variable is squared."

I always wondered that as well to be honest.
 
Well, what do you call a rectangle whose length is x and breadth is x, and whose area is x^2?

Not a..square?
 
If you get exercised over this sort of thing (I know I do!), you might find this website to be of interest:
http://pballew.net/etyindex.html

It notes that "quadratic" is from the Latin for "to make square" or, as Lamoid said, simple "square". Of course, a square has four sides which is where your use of the word is from.
 

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