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as i said in a comment, don't do it. if you are submitting this document to a well-edited math journal, it will be reversed. however, if you must, this should work: \documentclass{article} \usepackage{amsmath} \begin{document} some text \vfill So that abutting triangles do not double-paint pixels, a bias of 1 is subtracted from edges that are top'' or ...