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Most of the open questions discussed by the author were settled during the twentieth century. The author’s footnotes are labelled using printer’s marks*; footnotes showing where corrections to the text have been made are labelled numerically1. Minor typographical corrections are documented in the LATEX source. This document is designed for two-sided printing. Consequently, the many hyperlinked cross-references are not visually distinguished. The document can be recompiled for more comfortable on-screen viewing: see comments in source LATEX code | Project Gutenberg s Mathematical Recreations and Essays by W. W. Rouse Ball This eBook is for the use of anyone anywhere at no cost and with almost no restrictions whatsoever. You may copy it give it away or re-use it under the terms of the Project Gutenberg License included with this eBook or online at www.gutenberg.org Title Mathematical Recreations and Essays Author W. W. Rouse Ball Release Date October 8 2008 EBook 26839 Language English Character set encoding ISO-8859-1 START OF THIS PROJECT GUTENBERG EBOOK MATHEMATICAL RECREATIONS First Edition Feb. 1892. Reprinted May 1892. Second Edition 1896. Reprinted 1905. MATHEMATICAL RECREATIONS AND ESSAYS BY W.W. ROUSE BALL Fellow and Tutor of Trinity College Cambridge. FOURTH EDITION London MACMILLAN AND co. Limited NEW YORK the MACMILLAN company 1905 All rights reserved.