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-%%
-%% A DANTE-Edition example
-%%
-%% Example 36-00-17 on page 775.
-%%
-%% Copyright (C) 2011 Herbert Voss
-%%
-%% It may be distributed and/or modified under the conditions
-%% of the LaTeX Project Public License, either version 1.3
-%% of this license or (at your option) any later version.
-%%
-%% See http://www.latex-project.org/lppl.txt for details.
-%%
-%%
-%% ====
-% Show page(s) 1
-%%
-\documentclass[]{article}
-\pagestyle{empty}
-\setlength\textwidth{201.70511pt}
-\setlength\parindent{0pt}
-
-\usepackage{pst-node,multido,amsmath}\newdimen\xMax
-\newdimen\yMax
-\newcount\xLines
-\newcount\yLines
-\newdimen\dx
-\newdimen\dy
-\definecolor{lightred}{rgb}{1.0, 0.8, 0.8}
-\makeatletter
-\newcommand\grid[3][black]{{%
- \psset{linewidth=0.1pt}
- \xMax=#3%
- \yMax=#2%
- \dx=5mm \xLines=\xMax \divide\xLines by \dx%
- \dy=5mm \yLines=\yMax \divide\yLines by \dy%
- \advance\xLines by 1%
- \advance\yLines by 1%
- \yMax=\dy \multiply\yMax by \yLines%
- \xMax=\dx \multiply\xMax by \xLines%
- \advance\xLines by 1%
- \advance\yLines by 1%
- \psset{unit=1pt, linecolor=#1}%
- \multido{\rA=0+\strip@pt\dx}{\xLines}{\psline(\rA,0)(\rA,\yMax)}%
- \multido{\rA=0+\strip@pt\dy}{\yLines}{\psline(0,\rA)(\xMax,\rA)}%
-}}
-\makeatother
-\newsavebox{\gridbox}
-\newenvironment{dogrid}[1][\linewidth]{%
- \begin{lrbox}{\gridbox}%
- \begin{minipage}{#1}%
-}{%
- \end{minipage}%
- \end{lrbox}%
- \yMax=\dp\gridbox \advance\yMax by \ht\gridbox
- \noindent%
- \raisebox{-1.05\dp\gridbox}{\grid[lightred]{\yMax}{\wd\gridbox}}%
- \usebox{\gridbox}
- \vspace{0.5cm}
-}
-
-
-\begin{document}
-\begin{dogrid}
-\[
-\begin{array}{rcll}
-y & = & x^{2}+bx+c\\
- & = & x^{2}+2\cdot{\displaystyle\frac{b}{2}x+c}\\
- & = & \underbrace{x^{2}+2\cdot\frac{b}{2}x+
- \left(\frac{b}{2}\right)^{2}}-{\displaystyle \left(\frac{b}{2}\right)^{2}+c}\\
- & & \qquad\color{blue}\left(x+{\displaystyle \frac{b}{2}}\right)^{2}\\
- & = & {\color{blue}\left(x+{\displaystyle \frac{b}{2}}\right)^{2}}
- \color{red}-\left({\displaystyle \frac{b}{2}}\right)^{2}+c & \left|+\left({\displaystyle \frac{b}{2}}\right)^{2}-c\right.\\
-y+\left({\displaystyle \frac{b}{2}}\right)^{2}-c & = & \left(x+{\displaystyle \frac{b}{2}}\right)^{2} & \left|(\textrm{Scheitelpunktform})\right.\\
-y-y_{S} & = & (x-x_{S})^{2}\\
-\mbox{\textbf{S}}\mathbf{\left(x_{S};y_{S}\right)} & \,\textrm{bzw.}\, &
- \mbox{\textbf{S}}\mathbf{\left(-{\displaystyle \frac{b}{2};\,
- \left({\displaystyle \frac{b}{2}}\right)^{2}-c}\right)}
-\end{array}
-\]
-\end{dogrid}
-\end{document}