Why is the letter m used for slope instead of s?

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Discussion Overview

The discussion revolves around the choice of the letter "m" to represent slope in mathematical contexts, questioning why "s" is not used instead. The scope includes conceptual reasoning and historical context related to notation in mathematics.

Discussion Character

  • Conceptual clarification, Meta-discussion

Main Points Raised

  • One participant questions the use of "m" for slope, suggesting that "s" would be more intuitive for representing slope.
  • Another participant notes that "s" is commonly used to denote curve length in Calculus, implying that this may be a reason for the distinction in notation.
  • A third post provides a link to an external discussion about the use of "m" for slope, indicating that there may be additional perspectives or historical context available.
  • A participant mentions having previously asked the same question, indicating ongoing curiosity or confusion about the notation.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the reasoning behind the choice of "m" for slope, and multiple viewpoints regarding the notation remain present.

Contextual Notes

The discussion does not resolve the historical or mathematical reasoning behind the choice of letters for slope and curve length, leaving assumptions and definitions open to interpretation.

mathdad
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Why is the lower case letter m used to represent slope?

Doesn't it make more sense to use the letter s to represent slope, you know, s for slope?
 
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In Calculus, "s" usually denotes curve length, at least as I am familiar with it. A quick web search fails to turn up any specific reason as to why slope is denoted "m".
 
http://mathhelpboards.com/pre-calculus-21/letter-m-slope-20683.html

(Bandit)(Angel)(Smoking)(Giggle)(Fubar)
 
I forgot that I had already asked this question back in February 2017.
 

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