Elementary Synthetic Geometry

OF THE POINT, LINE AND CIRCLE IN THE PLANE.

By NATHAN F. DUPUIS, M.A., F.R.C.S., Professor of Mathematics in Queen's College, Kingston, Canada. 16mo. $1.10.

FROM THE AUTHOR'S PREFACE.

"The present work is a result of the author's experience in teaching geometry to junior classes in the University for a series of years. It is not an edition of 'Euclid's Elements,' and has in fact little relation to that celebrated ancient work except in the subject-matter.

"An endeavor is made to connect geometry with algebraic forms and symbols: (1) by an elementary study of the modes of representative geometric ideas in the symbols of algebra; and (2) by determining the consequent geometric interpretation which is to be given to each interpretable algebraic form... In the earlier parts of the work Constructive Geometry is separated from Descriptive Geometry, and short descriptions are given of the more important geometric drawing instruments, having special reference to the geometric principle of their actions.... Throughout the whole work modern terminology and modern processes have been used with the greatest freedom, regard being had in all cases to perspicuity....

"The whole intention in preparing the work has been to furnish the student with the kind of geometric knowledge which may enable him to take up most successfully the modern works on analytical geometry."

"To this valuable work we previously directed special attention. The whole intention of the work is to prepare the student to take up successfully the modern works on analytical geometry. It is safe to say that a student will learn more of the science from this book in one year than he can learn from the old-fashioned translations of a certain ancient Greek treatise in two years. Every mathematical master should study this book in order to learn the logical method of presenting the subject to beginners." - Canada Educational Journal.

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Master of Sidney Sussex College, Cambridge.

A TREATISE ON ALGEBRA. $2.60.

12mo. $1.90. KEY,

"Your Smith's Treatise on Algebra' was used in our University Classes last session, and with very great satisfaction. .. The general adoption of these texts would mark an epoch in mathematical teaching." - Prof. W. B. SMITH, University of Missouri.

"Its style is clear and neat, it gives alternative proofs of most of the fundamental theorems, and abounds in practical hints, among which we may notice those on the resolution of expressions into factors and the recognition of a series as a binomial expansion." - Oxford Review.

AN ELEMENTARY TREATISE ON CONIC SECTIONS. New Edition. 12mo. $1.60. KEY, $2.60.

"We can hardly recall any mathematical text-book which in neatness, lucidity, and judgment displayed alike in choice of subjects and of the methods of working, can compare with this. We have no hesitation in recommending it as the book to be put in the hands of the beginner." - Journal of Education.

"The best elementary work on these curves that has come under our notice." Academy.

"A thoroughly excellent elementary treatise."— Nature.

AN ELEMENTARY TREATISE ON SOLID GEOMETRY. New Edition. 12mo. $2.50.

"The best we can say for this text-book is that it is a worthy successor to the Conics' previously noticed by us. . . . 6 Much credit is due for the freshness of exposition and the skill with which the results are laid before the student." - Academy.

"This book is calculated to supply a long-felt want. The plan of the book is one which will recommend itself to most. The chapter on surfaces of the Second Degree falls rather earlier than is usual, but the care which has been bestowed upon it and the clear explanations given remove any difficulties which might otherwise beset the comparatively unprepared student in the study of the subject. The examples are numerous and well selected."- Educational Times.

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By CHARLES SMITH, M.A., Master of Sidney Sussex College, Cambridge. Second edition, revised and enlarged. pp. viii, 404. 16mo. $1.10.

FROM THE AUTHOR'S PREFACE.

"The whole book has been thoroughly revised, and the early chapters remodelled and simplified; the number of examples has been very greatly increased; and chapters on Logarithms and Scales of Notation have been added. It is hoped that the changes which have been made will increase the usefulness of the work."

From Prof. J. P. NAYLOR, of Indiana University.

"I consider it, without exception, the best Elementary Algebra that I have seen."

PRESS NOTICES.

"The examples are numerous, well selected, and carefully arranged. The volume has many good features in its pages, and beginners will find the subject thoroughly placed before them, and the road through the science made easy in no small degree."- Schoolmaster.

"There is a logical clearness about his expositions and the order of his chapters for which schoolboys and schoolmasters should be, and will be, very grateful."- Educational Times.

"It is scientific in exposition, and is always very precise and sound. Great pains have been taken with every detail of the work by a perfect master of the subject."- School Board Chronicle.

"This Elementary Algebra treats the subject up to the binomial theorem for a positive integral exponent, and so far as it goes deserves the highest commendation." - Athenæum.

"One could hardly desire a better beginning on the subject which it treats than Mr. Charles Smith's 'Elementary Algebra.'... The author certainly has acquired unless it 'growed' - the knack of writing text-books which are not only easily understood by the junior student, but which also commend themselves to the admiration of more matured ones."-Saturday Review.

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HALL, M.A., and S. R. KNIGHT, B.A. 16mo. Cloth. swers, 90 cents. With answers, $1.10.

Without an

NOTICES OF THE PRESS.

66

We confidently recommend it to mathematical teachers, who, we feel sure, will find it the best book of its kind for teaching purposes." Nature.

"We will not say that this is the best Elementary Algebra for school use that we have come across, but we can say that we do not remember to have seen a better. . . . It is the outcome of a long experience of school teaching, and so is a thoroughly practical book.... Buy or borrow the book for yourselves and judge, or write a better.. A higher text-book is on its way. This occupies sufficient ground for the generality of boys."- Academy.

HIGHER ALGEBRA. A Sequel to Elementary Algebra for Schools. By H. S. HALL, M.A., and S. R. KNIGHT, B.A. Fourth edition, containing a collection of three hundred Miscellaneous Examples which will be found useful for advanced students. 12mo. $1.90.

OPINIONS OF THE PRESS.

"The Elementary Algebra' by the same authors, which has already reached a sixth edition, is a work of such exceptional merit that those acquainted with it will form high expectations of the sequel to it now issued. Nor will they be disappointed. Of the authors'' Higher Algebra,' as of their 'Elementary Algebra,' we unhesitatingly assert that it is by far the best work of its kind with which we are acquainted. It supplies a want much felt by teachers."- The Athenæum.

“... Is as admirably adapted for college students as its predecessor was for schools. . . . The book is almost indispensable and will be found to improve upon acquaintance." The Academy.

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"... The authors have certainly added to their already high reputation as writers of mathematical text-books by the work now under notice, which is remarkable for clearness, accuracy, and thoroughAlthough we have referred to it on many points, in no single instance have we found it wanting." — The School Guardian.

ness.

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