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handouts/src/Warm-Ups/Slide Rules/parts/1 intro.tex
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Add slide rule warm-up
2025-02-13 15:41:31 -08:00

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\section{Introduction}
Mathematicians, physicists, and engineers needed to quickly compute products long before computers conquered the world.
\medskip
The \textit{slide rule} is an instrument that uses the logarithm to solve this problem. Before you continue, cut out and assemble your slide rule.
\medskip
There are four scales on your slide rule, each labeled with a letter on the left side:
\def\sliderulewidth{13}
\begin{center}
\begin{tikzpicture}[scale=1]
\tscale{0}{9}{T}
\kscale{0}{8}{K}
\abscale{0}{7}{A}
\abscale{0}{5.5}{B}
\ciscale{0}{4.5}{CI}
\cdscale{0}{3.5}{C}
\cdscale{0}{2}{D}
\lscale{0}{1}{L}
\sscale{0}{0}{S}
\end{tikzpicture}
\end{center}
Each scale's ``generating function'' is on the right:
\begin{itemize}
\item T: $\tan$
\item K: $x^3$
\item A,B: $x^2$
\item CI: $\frac{1}{x}$
\item C, D: $x$
\item L: $\log_{10}(x)$
\item S: $\sin$
\end{itemize}
Once you understand the layout of your slide rule, move on to the next page.
\pagebreak