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SMITH Continued

KEY TO EXAMINATION PAPERS IN ARITH-
METIC. 18mo. 4s. 6d.

THE METRIC SYSTEM OF ARITHMETIC, ITS
PRINCIPLES AND APPLICATIONS, with numerous
Examples, written expressly for Standard V. in National
Schools. Third Edition. 18mo. cloth, sewed. 3d.

A CHART OF THE METRIC SYSTEM, on a Sheet,
size 42 in. by 34 in. on Roller, mounted and varnished price
3s. 6d. Third Edition.

"We do not remember that ever we have seen teaching by a chart more happily carried out."-SCHOOL BOARD CHRONICLE.

Also a Small Chart on a Card, price Id.

EASY LESSONS IN ARITHMETIC, combining Exercises in Reading, Writing, Spelling, and Dictation. Part I. for Standard I. in National Schools. Crown 8vo. 9d.

"We should strongly advise every one to study carefully Mr. Barnard Smith's Lessons in Arithmetic, Writing, and Spelling. A more excellent little work for a first introduction to knowledge cannot well be written. Mr. Smith's larger Text-books on Arithmetic and Algebra are already most favourably known, and he has proved now that the difficulty of writing a text-book which begins ab ovo is really surmountable; but we shall be much mistaken if this little book has not cost its author more thought and mental labour than any of his more elaborate text-books. The plan to combine arithmetical lessons with those in reading and spelling is perfectly novel, and it is worked out in accordance with the aims of our National Schools; and we are convinced that its general introduction in all elementary schools throughout the country will produce great educational advantages."-WESTMINSTER REVIEW.

EXAMINATION CARDS IN ARITHMETIC. (Dedicated to Lord Sandon.) With Answers and Hints.

Standards I. and II. in box, Is. Standards III., IV. and V., in boxes, Is. each. Standard VI. in Two Parts, in boxes, Is. each.

A and B papers, of nearly the same difficulty, are given so as to prevent copying, and the Colours of the A and B papers differ in each Standard, and from those of every other Standard, so that a master or mistress can see at a glance whether the children have the proper papers.

SNOWBALL

THE

ELEMENTS

OF PLANE AND SPHERICAL TRIGONOMETRY; with the Construction and Use of Tables of Logarithms. By J. C. SNOWBALL, M.A. Eleventh Edition. Crown 8vo. 7s. 6d.

SYLLABUS OF PLANE GEOMETRY (corresponding to Euclid, Books I.-VI.). Prepared by the Association for the Improvement of Geometrical Teaching. Third Edition. Crown 8vo. IS.

TAIT and STEELE-A TREATISE ON DYNAMICS OF A PARTICLE. With numerous Examples. By Professor TAIT and MR. STEELE. Fourth Edition, revised. Crown 8vo.

125.

TEBAY-ELEMENTARY MENSURATION FOR SCHOOLS. With numerous Examples. By SEPTIMUS TEBAY, B.A., Head Master of Queen Elizabeth's Grammar School, Rivington, Extra fcap. 8vo. 3s. 6d.

TODHUNTER-Works by I. TODhunter, M.A., F.R.S., of St. John's College, Cambridge.

"Mr. Todhunter is chiefly known to students of Mathematics as the author of a series of admirable mathematical text-books, which possess the rare qualities of being clear in style and absolutely free from mistakes, typographical or other."-SATURDAY REVIEW.

THE ELEMENTS OF EUCLID. For the Use of Colleges
and Schools. New Edition. 18mo. 3s. 6d.

MENSURATION FOR BEGINNERS. With numerous
Examples. New Edition. 18mo.

2s. 6d.

ALGEBRA FOR BEGINNERS. With numerous Examples.
New Edition.
2s. 6d.

18mo.

KEY TO ALGEBRA FOR BEGINNERS. Crown 8vo. 6s. 6d.

TRIGONOMETRY FOR BEGINNERS. With numerous

Examples. New Edition. 18mo. 2s. 6d.

KEY TO TRIGONOMETRY FOR
Crown 8vo. 8s. 6d.

BEGINNERS.

b

TODHUNTER Continued

MECHANICS FOR

BEGINNERS. With numerous

Examples. New Edition. 18mo. 4s. 6d.

ALGEBRA. For the Use of Colleges and Schools. Seventh
Edition. Crown 8vo. 7s. 6d.

KEY TO ALGEBRA FOR THE USE OF COLLEGES
AND SCHOOLS. Crown 8vo. IOS. 6d.

AN ELEMENTARY TREATISE ON THE THEORY
OF EQUATIONS. Third Edition, revised. Crown 8vo.

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A TREATISE ON SPHERICAL TRIGONOMETRY.
Third Edition, enlarged. Crown 8vo. 4s. 6d.

PLANE CO-ORDINATE GEOMETRY, as applied to the
Straight Line and the Conic Sections. With numerous
Examples. Fifth Edition, revised and enlarged. Crown 8vo.
7s. 6d.

A TREATISE ON THE DIFFERENTIAL CALCULUS.
With numerous Examples. Seventh Edition. Crown 8vo.
IOS. 6d.

A TREATISE ON THE INTEGRAL CALCULUS AND
ITS APPLICATIONS. With numerous Examples.
Edition, revised and enlarged. Crown 8vo.

IOS. 6d.

Fourth

EXAMPLES OF ANALYTICAL GEOMETRY OF THREE DIMENSIONS. Third Edition, revised. Crown 8vo. 4s.

A TREATISE ON ANALYTICAL STATICS. With numerous Examples.

Crown 8vo. IOS. 6d.

Fourth Edition, revised and enlarged.

TODHUNTER Continued

A HISTORY OF THE MATHEMATICAL THEORY
OF PROBABILITY, from the time of Pascal to that of
Laplace. 8vo. 18s.

RESEARCHES IN THE CALCULUS OF VARIA-
TIONS, principally on the Theory of Discontinuous Solutions:
an Essay to which the Adams Prize was awarded in the
University of Cambridge in 1871. 8vo. 6s.

A HISTORY OF THE MATHEMATICAL THEORIES
OF ATTRACTION, AND THE FIGURE OF THE
EARTH, from the time of Newton to that of Laplace. 2 vols.
8vo. 24s.

AN ELEMENTARY TREATISE ON LAPLACE'S,
LAME'S, AND BESSEL'S FUNCTIONS. Crown 8vo.
IOS. 6d.

WILSON (J. M.)-ELEMENTARY GEOMETRY. Books I. II. III. Containing the Subjects of Euclid's first Four Books. Following the Syllabus of the Geometrical Association. By J. M. WILSON, M.A., late Fellow of St. John's College Cambridge, and Mathematical Master of Rugby School. New Edition. Extra fcap. 8vo. 3s. 6d.

SOLID GEOMETRY AND CONIC SECTIONS. With
Appendices on Transversals and Harmonic Division. For the
Use of Schools. By J. M. WILSON, M.A. Third Edition.
Extra fcap. 8vo. 3s. 6d.

By

WILSON (W. P.)-A TREATISE ON DYNAMICS.
W. P. WILSON, M. A., Fellow of St. John's College, Cam-
bridge, and Professor of Mathematics in Queen's College,
Belfast. 8vo. 9s. 6d.

WOLSTENHOLME-A BOOK OF MATHEMATICAL PROBLEMS, on Subjects included in the Cambridge Course. By JOSEPH WOLSTENHOLME, Fellow of Christ's College, sometime Fellow of St. John's College, and lately Lecturer in Mathematics at Christ's College. Crown 8vo. 8s. 6d.

"Judicious, symmetrical, and well arranged."-GUARDIAN.

SCIENCE.

ELEMENTARY CLASS-BOOKS,

ASTRONOMY, by the Astronomer Royal,
POPULAR ASTRONOMY. With Illustrations.

By Sir G. B. AIRY, K.C.B., Astronomer Royal. New Edition, 18mo. 4s. 6d.

Six lectures, intended "to explain to intelligent persons the principles on which the instruments of an Observatory are constructed, and the principles on which the observations made with these instruments are treated for deduction of the distances and weights of the bodies of the Solar System."

ASTRONOMY.

With

ELEMENTARY LESSONS IN ASTRONOMY.
Coloured Diagram of the Spectra of the Sun, Stars, and
Nebulæ, and numerous Illustrations. By J. NORMan Lockyer,
F.R.S. New Edition. 18mo. 5s. 6d.

"Full, clear, sound, and worthy of attention, not only as a popular exposition, but as a scientific 'Index.'"-ATHENÆUM.

QUESTIONS ON LOCKYER'S ELEMENTARY LES-
SONS IN ASTRONOMY. For the Use of Schools. By
JOHN FORBES-ROBERTSON. 18mo. cloth limp. Is. 6d.

PHYSIOLOGY.

LESSONS IN ELEMENTARY PHYSIOLOGY. With numerous Illustrations. By T. H. HUXLEY, F. R.S., Professor of Natural History in the Royal School of Mines. New Edition. 18mo. 4s. 6d.

"Pure gold throughout."-GUARDIAN.

Unquestionably the clearest and most complete elementary treatise on this subject that we possess in any language."-WEST Minster ReviEW.

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