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\documentclass[a4paper,twoside]{book}
\usepackage{gcheck}
\usepackage[margin=1cm,includehead]{geometry}
\geometry{reset, a3paper, landscape}
\geometry{a6paper, hmargin={1cm,0.5cm}, heightrounded}
\geometry{portrait, a5paper, centering }
% `centering' (marginratio=1:1) is ineffective `hmargin'.
\geometry{dvips, showframe}
\begin{document}
\typeout{}
\dcheck\paperwidth{423.94606pt}
\dcheck\paperheight{597.50787pt}
\dcheck\textwidth{381.26695pt}
\dcheck\textheight{418.0pt}
\dcheck\oddsidemargin{-43.81725pt}
\dcheck\evensidemargin{-58.04362pt}
\dcheck\topmargin{-12.71039pt}
\dcheck\headheight{12pt}
\dcheck\headsep{18.06749pt}
\dcheck\footskip{25.29494pt}
\dcheck\marginparwidth{115pt}
\dcheck\marginparsep{7.0pt}
\dcheck\columnsep{10pt}
\dcheck\hoffset{0pt}
\dcheck\voffset{0pt}
\ccheck\mag{1000}
\checkresults
\typeout{}
\manyfoxes\manyfoxes\manyfoxes\manyfoxes
\manyfoxes\manyfoxes\manyfoxes\manyfoxes
\end{document}
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