University and similar examinations in the theory of heat engines. It will also be found suitable for students reading for the examinations of the Institution of Civil Engineers, the Institution of Mechanical Engineers, the City and Guilds of London I nstitute, and theB oard of Education, and should prove useful to the engineer who desires a thorough knowledge of the theory of the subject. The Author feels that no apology is necessary for adding yet another book on this subject because, although many excellent books exist which deal solely with one or two special branches of the subject, there are very few which deal with the subject as a whole. An attempt has here been made to give in a complete and concise form the thermodynamical and mechanical principles of the subject; to that end all purely descriptive matter has been designedly omitted. Many numerical examples are fully worked out in the text, and the student is urged to read all of these, and to work out for himself the examples at the ends of the chapters in order to obtain a thorough knowledge of the subject. Those marked (L.U.) are taken from various London University papers for the B.S c. (E ngineering) examination. Many important researches in the subject have been noticed, references to which are freely given. In particular, the Proceedings of the Institution of Mechanical Engineers, the Institution of Civil Engineers, and the Reports of the Gaseous Explosions Committee of theB ritish Association have, with permission, been freely drawn upon for this purpose. The Author sthanks are due to many friends for hints and suggestions, particularly toP rofessor A. Morley, M.S c., and Professor W. Robinson, M.E., and also toM ir. R. H. King, B.S c., Mr. J. S. Robinson, B.S c., and Mr. T. P. G. Stone, who have so kindly checked many of the numerical examples. It is too much to hope that, with so many num
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