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Currently while doing homework I encountered the Witches of Agnesi. I have done a tiny bit of research. I was wondering if $y=\frac{\sin(x)}{x}$ would be one of these witches. What type of math domain does the study of Witch of Agnesi pertain to? I am completely oblivious to math history a good book/online resource would be nice. I am in AP Calculus AB in high school if that needed in my question.

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  • $\begingroup$ @Moo A book would be better because I was already reading that. $\endgroup$ – EnlightenedFunky Oct 26 '16 at 0:18
  • $\begingroup$ @Moo Thanks :) 1+ $\endgroup$ – EnlightenedFunky Oct 26 '16 at 0:24
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    $\begingroup$ $f(x)=\frac{1}{x^2+1}$ (the graph of a "witch of Agnesi") is a decreasing function on $\mathbb{R}^+$, while $\frac{\sin x}{x}$ is not, hence $f(x)=\frac{\sin x}{x}$ cannot be for sure a "witch of Agnesi". $\endgroup$ – Jack D'Aurizio Oct 26 '16 at 0:42
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This is a fragment of an answer:

http://aperiodical.com/2014/05/google-doodle-the-witch-of-agnesi/

Notice the several moving dotted lines in this video. A bunch of propositions in algebra and geometry are lurking in them.

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