\chapter{Slopes of lines drawn with \LaTeX}\label{ap:slopes} Table~{tb:slopes} lists the first quadrant slopes of lines that can be typeset with \LaTeX, together with the corresponding degrees of angle. The integers ${\rm x_s}$ and ${\rm y_s}$ represent the slope in \LaTeX's line-drawing statement \\ \begin{center} {\verb+\put(x,y){\line(x+$_s$\verb+,y+$_s$\verb+){length}}+} \end{center} Corresponding angles in the other quadrants can be generated by preceding ${\rm x_s}$ and/or ${\rm y_s}$ with a minus sign. \begin{table} \begin{center} \begin{tabular}{|l|l|l|} \hline ${\rm x_s}$, ${\rm y_s}$ & tan$\theta $(${\rm y_s}$/${\rm x_s}$) & $\theta $(degrees) \\ \hline \ 1,0 & \ \ 0.00 & \ \ 0.0 \\ \ 6,1 & \ \ 0.17 & \ \ 9.5 \\ \ 5,1 & \ \ 0.20 & \ 11.3 \\ \ 4,1 & \ \ 0.25 & \ 14.0 \\ \ 3,1 & \ \ 0.33 & \ 18.5 \\ \ 5,2 & \ \ 0.40 & \ 21.8 \\ \ 2,1 & \ \ 0.50 & \ 26.5 \\ \ 5,3 & \ \ 0.60 & \ 31.0 \\ \ 3,2 & \ \ 0.67 & \ 33.7 \\ \ 4,3 & \ \ 0.75 & \ 36.8 \\ \ 5,4 & \ \ 0.80 & \ 38.7 \\ \ 6,5 & \ \ 0.83 & \ 39.8 \\ \ 1,1 & \ \ 1.00 & \ 45.0 \\ \ 5,6 & \ \ 1.20 & \ 50.2 \\ \ 4,5 & \ \ 1.25 & \ 51.3 \\ \ 3,4 & \ \ 1.33 & \ 53.2 \\ \ 2,3 & \ \ 1.50 & \ 56.3 \\ \ 3,5 & \ \ 1.67 & \ 59.0 \\ \ 1,2 & \ \ 2.00 & \ 63.5 \\ \ 2,5 & \ \ 2.50 & \ 68.2 \\ \ 1,3 & \ \ 3.00 & \ 71.5 \\ \ 1,4 & \ \ 4.00 & \ 76.0 \\ \ 1,5 & \ \ 5.00 & \ 78.7 \\ \ 1,6 & \ \ 6.00 & \ 80.5 \\ \ 0,1 & \ \ $\infty $& \ 90.0 \\ \hline \end{tabular} \end{center} \caption{Slopes of lines possible with \LaTeX} \label{tb:slopes} \end{table}