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"We have seen many revisions of Euclid during the past few years, but none marked by more reasonableness and wisdom than the present. We welcome this edition heartily."-Educational Times.

"Where revisions or modifications of Euclid's modes of construction or proof have been introduced, they are in general judicious. A word of praise is due to the excellent collection of addenda, which is particularly rich in examples of modern developments of the geometry of the straight line and circle. Of the general get up of the book we may speak in the highest terms. It is printed with type of remarkable distinctness, and there is no attempt to economise space by crowding the sentences into long paragraphs: everything is sacrificed to clearness. The figures are admirable, and the whole appearance of the work is highly attractive."-Saturday Review.

"Mr. Nixon has very freely revised Euclid's demonstrations both in substance and in form. Where he has introduced new demonstrations, they are in all cases, we believe, improvements. The collection of exercises appears to be very well chosen and complete. The addenda include all the more important developments of the elementary geometry, as well as an introduction to many methods of the higher geometry. As a collection of results in the geometry of the straight line and circle this part of the book appears to us to be excellent." -Nature.

"The proofs are characterised by clearness and brevity. The very numerous additional propositions are chosen with excellent judgment. The type is clear and bold, and the figures are exceptionally good. We heartily commend the book to the attention of schoolmasters."-Journal of Education.

"This volume is one of the latest issued by the Clarendon Press, and is a valuable addition to the study of Geometry. The preface is such a capital essay, as it were, on the whole volume, that we feel justified in reproducing much of it. Euclid Revised is a distinct addition to geometrical science, and only requires to be known to obtain that recognition which it undoubtedly deserves."-The Schoolmaster.

"One of the best of the numerous substitutes for Simson's Euclid that have been put forward from time to time during the last few years."-School Guardian.

"The mode in which Book V is expounded is singularly clear and logical."

--School-World.

"A decided advance both in matter and style on the editions previously in the field. The type is extremely clear and easy, the numerous abbreviations intelligible, and the statements arranged each in a single line.”—Freeman's Journal.

"An edition of Euclid, which emanates from the Clarendon Press, and is edited by a gentleman who has long been known as an experienced and eminently successful teacher of Mathematics in one of our well-known Irish Schools, necessarily arouses great expectations. Nor are we disappointed after a careful examination of the volume before us. The treatment of the Elements in the present edition leaves nothing to be desired, and the work will be a boon to the Schoolmaster. Each proposition has been made the subject of careful study, and in consequence appears in such terse and compact form that the whole argument is taken in almost at a glance. The gain is not merely in brevity but in clearness and simplicity. The plan of the work is well conceived and admirably carried out, and for both pupil and teacher it is the best edition of Euclid with which we are acquainted.”—Irish Journal of Education.

EXTRACTS FROM LETTERS OF TEACHERS.

"It seems to me to make the whole subject much more easy and complete."-E. J. ROUTH, M.A., D.Sc., F.R.S.

"I regularly bring your Euclid under the notice of my pupils, as one of the most useful elementary text-books they can buy.”—G. CHRYSTAL, M.A., LL.D., Professor of Mathematics in Edinburgh University.

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Quite the most pleasing edition of Euclid that I know. Euclid Revised was introduced into the Beginners' Class of the High School in September last, and has given general satisfaction. It will now, in consequence, be made the text-book for the whole school."-THOMAS MUIR, LL.D., F.R.S.E., Head Mathematical Master in Glasgow High School.

"It is certainly in every way better fitted for use than the text-books now in vogue, and should add both to the ease and the efficiency of teaching.”—J. S. YEO, M.A., Mathematical Master of Fettes College, Edinburgh.

"Nixon's Euclid Revised is the best edition of Euclid for Schools that I know. The proofs are clearly and concisely stated, the notes are excellent, and the examples well chosen."-H. P. GURNEY, M.A., Managing Partner and Principal Mathematical Lecturer of Messrs. Wren and Gurney.

"I have carefully examined the Euclid Revised, edited by Mr. Nixon, and issued by the Clarendon Press. It is beautifully printed and admirably illustrated. The reasoning is presented in such a form as to force itself upon the reader with the clearness and precision characteristic of Algebra. The time occupied by the study of Plane Geometry, after this method, will not exceed onethird of that required when the text of Euclid is presented in the usual way. The Addenda and Exercises are of the most useful nature, and the latter are carefully graduated. Its clearness renders a tutor unnecessary for private students. I shall have pleasure in recommending its general adoption.”DAVID ROSS, M.A., B.Sc., LL.D., Principal of the Church of Scotland Training College, Glasgow, and Sub-Examiner to the University of London.

"The whole book is clear and well arranged, so that one can take in a proposition at a glance. The additional matter too is selected with good judgment, and is of great use. I heartily wish all teachers would make it a universal text-book. I shall make a point of introducing it among my higher boys."-Rev. T. SPEAR, M.A., Head Mathematical Master, Malvern College.

"I have used Euclid Revised for some time, chiefly with younger boys and beginners: the results on the whole are satisfactory. By clearness of arrangement, by the use of symbols, and by the avoidance of all that verbiage which so often made the beginning of Euclid such an appalling task, Mr. Nixon has produced a most valuable book. In the matter of type, figures, and paper, Euclid Revised would take a very high place among the school books of the day."-C. PENDLEBURY, M.A., Head Mathematical Master, St. Paul's School, London.

"I consider your Euclid Revised an excellent book in every way. It affords an excellent geometrical training for my more advanced pupils.”—J. M. DYER, M.A., Head Mathematical Master of Cheltenham College.

"I think that your book is as near perfection as it is possible to be."-F. CUTHBERTSON, LL.D., Head Mathematical Master of the City of London School.

"Mr. Nixon's Euclid Revised has been used here as a text-book, during the past year, with most satisfactory results. The form in which the subject is presented attracts beginners, and enables students at all stages to learn the proofs of the various propositions with ease, and to retain them in the memory with certainty; while the gain of neatness and time in reproducing the proofs at a written examination is very great."-JOHN YOUNG, M.A., Head Mathematical Master of the Academical Institution, Londonderry.

"Your book seems to me by far the most accurate and complete Geometry in English with which I am acquainted.”—FRED. T. SWANWICK, M.A., Assistant Lecturer in Mathematics at Owens College, Manchester.

"In type, arrangement and plan I think it first of School Euclids. I have no doubt that it will meet with a wide acceptance."-HENRY R. PARKER, LL.D. Head Master, Methodist College, Belfast.

"I think an Examiner who had to read over a number of papers would feel in good humour with candidates who sent in their work as succinctly arranged as the propositions in Mr. Nixon's book."-W. O'B. NEWELL, M.A., Head Inspector of National Schools, Ireland.

“We are using Nixon's Euclid Revised, and I am recommending it as widely as I can to teachers and scholars. It seems to me, as a teacher desiring freedom and an examiner requiring consistency, that Mr. Nixon has hit upon that medium course which meets the needs of both aspects. The work is admirably arranged and beautifully printed, and on this account is easy to work from."-R. WORMELL, D.Sc., Head Master of the City Middle Class School, E.C.

"Some time ago we went carefully through your Euclid, and we were much struck with the enormous amount of matter in it. Seeing what a flood of Euclids there has been of late, it must take some time for any particular one to establish itself; but with yours it must merely be a question of time. We consider that your book is specially valuable to those who wish, with the view of rapidly preparing themselves for examination, to refresh their memories as regards the method and order of Euclid's proofs. With admirable type and arrangement, nothing could possibly be suggested to add to its attractiveness and utility. The appendices and exercises virtually include all the more modern developments of Geometry."-REV. JOHN S. MILNE, M.A., Editor of "The Companion to the Weekly Problem Papers," &c., &c. R. F. DAVIS, M.A., Author of Articles in Mr. Milne's "Companion," &c., &c.

Containing parts of Euclid's Eleventh and Twelfth Books, and some properties of Polyhedra and Solids of Revolution, with Exercises. Full Cloth, 3s. 6d.

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"We have nothing but praise for Mr. Nixon's book The chapters on Polyhedra and on Surfaces of Revolution are excellent." -School- World.

"May be safely recommended to students and teachers as a clear and precise introduction to the study of Solid Geometry."-Nature.

"This is a carefully written and concise treatise on Solid Geometry, intended as a sequel to the Euclid Revised by the same publishers. It includes the eleventh book of Euclid, with several additional theorems required in modern mathematics, and deals exhaustively with the different classes of polyhedra and solids of revolution. The editor's appendices contain a great deal of useful matter for students, and numerous exercises are given. The propositions are worked out without prolixity, abbreviations and symbols being largely used, and the volume is both neat and handy in form.”—Freeman's Journal.

"An excellent text-book of Solid Geometry, a comprehensive and thoroughly methodic course of instruction in polyhedra and solids of revolution, followed by a well-written chapter on the perspective of solids. The proofs throughout are models for condensation and clear arrangement, assisted by diagrams which are in all respects almost perfect."-Saturday Review.

"It has been found by experience, in using the book for teaching purposes, that it is an admirable introduction to the study of Solid Geometry."Engineering.

"A valuable introduction to pure Solid Geometry;

the examples in

each chapter are numerous and well selected.”—Journal of Education.

"A useful collection of the principal theorems in Solid Geometry put into a very small compass. In simplicity and clearness the author's demonstrations

are all that could be wished."--Athenæum.

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