23, HENRIETTA STREET, COVENT GARDEN, W.C. London and Cambridge. MACMILLAN AND CO.'S DESCRIPTIVE CATALOGUE OF CAMBRIDGE CLASS BOOKS. The Works in this Series of CAMBRIDGE CLASS-BOOKS FOR THE USE OF SCHOOLS AND COLLEGES, which have been issued at intervals during the last ten years, are intended to embrace all branches of Education, from the most Elementary to the most Advanced, and to keep pace with the latest discoveries in Science. Of those hitherto published the large and ever increasing sale is a sufficient indication of the manner in which they have been appreciated by the public. A SERIES of a more Elementary character is in course of publication, a list of which will be found on page 2 of this Catalogue. ELEMENTARY SCHOOL CLASS BOOKS. The volumes of this Series of ELEMENTARY SCHOOL CLASS Books are handsomely printed in a form that, it is hoped, will assist the young student as much as clearness of type and distinctness of arrangement can effect. They are published at a moderate price to ensure an extensive sale in the Schools of the United Kingdom and the Colonies. 1. Euclid for Colleges and Schools. By I. TODHUNTER, M.A., F.R. S., Fellow and Principal Mathematical Lecturer of St. John's College, Cambridge. 18mo. 38. 6d. 2. An Elementary Latin Grammar. By H. J. ROBY, M.A., Under Master of Dulwich College Upper 3. An Elementary History of the Book of Common Prayer. By FRANCIS PROCTER, M. A., Vicar of Witton, Norfolk, late 4. Mythology for Latin Versification. A Brief Sketch of the Fables of the Ancients, prepared to be rendered into Latin Verse, for Schools. By F. C. HODGSON, B.D., late Provost of Eton College. New Edition. Revised by F. C. HODGSON, M.A., Fellow of King's College, Cambridge. 18mo. 3s. 5. Algebra for Beginners. By I. TODHUNTER, M.A., F.R.S. 18mo. 2s. 6d. * A KEY to this work will shortly be published. 6. The School Class Book of Arithmetic. By BARNARD SMITH, M.A., late Fellow of St. Peter's College, 7. The Bible Word-Book. [In the Press. A Glossary of old English Bible Words with Illustrations. [Preparing. CAMBRIDGE CLASS BOOKS FOR SCHOOLS AND COLLEGES. WORKS by the Rev. BARNARD SMITH, M.A. 1. Arithmetic & Algebra In their Principles and Applications. ically arranged. 2. Arithmetic For the Use of Schools. Crown 8vo. strongly bound in cloth, New Edition (1862) 348 pp. 4s. 6d. Answers to all the Questions. Ninth Edit. 696 pp. (1863). Cr. 8vo. 3. Key to the above, containstrongly bound in cloth. 10s. 6d. ing Solutions to all the Questions in the latest Edition. Crown 8vo. cloth. 392 pp. Second Edit. 88. 6d. To meet a widely expressed wish, the ARITHMETIC was published separately from the larger work in 1854, with so much alteration as was necessary to make it quite independent of the ALGEBRA. It has now a very large sale in all classes of Schools at home and in the Colonies. A copious collection of Examples, under each rule, has been embodied in the work in a systematic order, and a Collection of Miscellaneous Papers in all branches of Arithmetic is appended to the book. The first edition of this work was published "Mr. Smith's Work is a most useful publication. The Rules are stated with great clearness. The Examples are well selected and worked out with just sufficient detail without being encumbered by too minute explanations; and there prevails throughout it that just proportion of theory and practice, which is the crown Exercises in Arithmetic. 104 pp. Cr. 8vo. (1860) 28. Or with Answers, 2s. 6d. Also sold separately in 2 Parts 18. each. Answers, 6d. These EXERCISES have been published in order to give the pupil examples in every rule of Arithmetic. The greate number have been carefully comp from the latest University and 4 CAMBRIDGE CLASS BOOKS WORKS by ISAAC TODHUNTER, M.A. F.R.S. Fellow and Principal Mathematical Lecturer of St. John's College, Cambridge. 1. Algebra. For the Use of Colleges and Schools. Third Edition. 542 pp. (1862). Strongly bound in cloth. 78. 6d. This work contains all the propositions which are usually included in elementary treatises on Algebra, and a large number of Examples for Exercise. The author has sought to render the work easily intelligible to students without impairing the accuracy of the demonstrations, or contracting the limits of the subject. The Examples have been selected with a view to illustrate every part of the subject, and as the number of them is about Sixteen hundred and fifty, it is hoped they will supply ample exercise for the student. Each set of Examples has been carefully arranged, commencing with very simple exercises, and proceeding gradually to those which are less obvious. 3. Spherical Trigonometry. For the Use of Colleges and Schools. 132 pp. Crown 8vo. Second Edition. (1863). 4s. 6d. This work is constructed on the same plan as the Treatise on Plane Trigonometry, to which it is intended as a sequel. Considerable labour has been expended on the text in order to render it comprehensive and accurate, and the Examples, which have been chiefly selected from University and College Papers, have all been carefully verified. The Elements of Euclid PORTIONS OF THE ELEVENTH AND 384 pp. 18mo. bound. (1862). 3s. 6d. As the Elements of Euclid are usually placed in the hands of young students, it 2. Plane Trigonometry is important to exhibit the work in such For Schools and Colleges. 2nd Edit. 279 pp. (1860). Crn. 8vo. Strongly bound in cloth. 58. a form as will assist them in overcoming the difficulties which they experience on their first introduction to processes of conbe so useful as that of breaking up the tinuous argument. No method appears to The demonstrations into their constituent parts, and this plan has been adopted in the The design of this work has been to ren- present edition. Each distinct assertion in der the subject intelligible to beginners, the argument begins a new line; and at and at the same time to afford the student the end of the lines are placed the necessary the opportunity of obtaining all the infor- references to the preceding principles on mation which he will require on this branch which the assertions depend. The longer of Mathematics. Each chapter is followed propositions are distributed into subordiby a set of Examples; those which are nate parts, which are distinguished_by entitled Miscellaneous Examples, together breaks at the beginning of the lines. with a few in some of the other sets, may Notes are intended to indicate and explain be advantageously reserved by the student the principal difficulties, and to supply the for exercise after he has made some pro- most important inferences which can be gress in the subject. As the Text and Ex-drawn from the propositions. The work amples have been tested by considerable experience in teaching, the hope is entertained that they will be suitable for imparting a sound and comprehensive knowledge of Plane Trigonometry, together with readiness in the application of this knowTige to the solution of problems. In the nd Edition the hints for the solution Examples have been considerably finishes with a collection of Six hundred and twenty-five Exercises, which have been selected principally from Cambridge Examination papers and have been tested by long experience. As far as possible they are arranged in order of difficulty. The Figures will be found to be large and distinct, and have been repeated when necessarv, so that they always occur in immedi |