MATHEMATICS.

Arithmetic, Book-keeping, Algebra, Euclid and Pure Geometry, Geometrical Drawing, Mensuration, Trigonometry, Analytical Geometry (Plane and Solid), Problems and Questions in Mathematics, Higher Pure Mathematics, Mechanics (Statics, Dynamics, Hydrostatics, Hydrodynamics: see also Physics), Physics (Sound, Light, Heat, Electricity, Elasticity, Attractions, &c.), Astronomy, Historical.

ARITHMETIC.

*ALDIS.-THE GREAT GIANT ARITHMOS.

A most Elementary Arithmetic

for Children. By MARY STEADMAN ALDIS. Illustrated. Gl. 8vo. 2s. 6d. ARMY PRELIMINARY EXAMINATION, SPECIMENS OF PAPERS SET AT THE, 1882-89.-With Answers to the Mathematical Questions. Subjects: Arithmetic, Algebra, Euclid, Geometrical Drawing, Geography, French, English Dictation. Cr. 8vo. 3s. 6d.

*BRADSHAW.-A COURSE OF EASY ARITHMETICAL EXAMPLES FOR BEGINNERS. By J. G. BRADSHAW, B.A., Assistant Master at Clifton College. Gl. 8vo. 28. With Answers, 2s. 6d. *BROOKSMITH.-ARITHMETIC IN THEORY AND PRACTICE. By J. BROOK. SMITH, M.A. Cr. 8vo. 4s. 6d. KEY. Crown 8vo. 10s. 6d. *BROOKSMITH.-ARITHMETIC FOR BEGINNERS. By J. and E. J. BROOK. SMITH. Gl. 8vo. 1s. 6d.

CANDLER.-HELP TO ARITHMETIC. Designed for the use of Schools. By H. CANDLER, Mathematical Master of Uppingham School. 2d Ed. Ex. fcap. 8vo. 2s. 6d. *DALTON.-RULES AND EXAMPLES IN ARITHMETIC. By the Rev. T. DALTON, M.A., Assistant Master at Eton. New Ed., with Answers. 18mo. 2s. 6d. *GOYEN.-HIGHER ARITHMETIC AND ELEMENTARY MENSURATION. By P. GOYEN, Inspector of Schools, Dunedin, New Zealand. Cr. 8vo. 5s. *HALL and KNIGHT.-ARITHMETICAL EXERCISES AND EXAMINATION PAPERS. With an Appendix containing Questions in LOGARITHMS and MENSURATION. By H. S. HALL, M.A., Master of the Military and Engineering Side, Clifton College, and S. R. KNIGHT, B.A. Gl. 8vo. 2s. 6d.

LOCK.-Works by Rev. J. B. Lock, M.A., Senior Fellow and Bursar of Gonville and Caius College, Cambridge.

4s. 6d.

Part II.

Or in Two Parts:-
With 1000 additional

*ARITHMETIC FOR SCHOOLS. With Answers and 1000 additional Examples for Exercise. 3d Ed., revised. Gl. 8vo. Part I. Up to and including Practice. 2s. Examples for Exercise. 3s. KEY. Cr. 8vo. 10s. 6d. *ARITHMETIC FOR BEGINNERS. A School Class-Book of Commercial Arithmetic. Gl. 8vo. 2s. 6d. KEY. Cr. 8vo. 8s. 6d.

*A SHILLING BOOK OF ARITHMETIC, FOR ELEMENTARY SCHOOLS. 18mo. 1s. With Answers. 1s. 6d.

Containing 5s.

*PEDLEY.-EXERCISES IN ARITHMETIC for the Use of Schools. more than 7000 original Examples. By SAMUEL PEDLEY. Cr. 8vo. Also in Two Parts, 2s. 6d. each. SMITH.-Works by Rev. BARNARD SMITH, M.A., late Fellow and Senior Bursar of St. Peter's College, Cambridge.

ARITHMETIC AND ALGEBRA, in their Principles and Application; with numerous systematically arranged Examples taken from the Cambridge Examination Papers, with especial reference to the Ordinary Examination for the B. A. Degree. New Ed., carefully revised. Cr. 8vo. 10s. 6d.

BOOK-KEEPING- -ALGEBRA

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*ARITHMETIC FOR SCHOOLS. Cr. 8vo. 4s. 6d. KEY. Cr. 8vo. 4s. 6d. EXERCISES IN ARITHMETIC. Cr. 8vo. 2s. With Answers, 2s. 6d. Answers separately, 6d.

SCHOOL CLASS-BOOK OF ARITHMETIC. 18mo. 3s. Or separately, in Three Parts, 1s. each. KEYS. Parts I., II., and III., 2s. 6d. each. SHILLING BOOK OF ARITHMETIC. 18mo. Or separately, Part I., 2d.; Part II., 3d.; Part III., 7d. Answers, 6d. KEY. 18mo. 4s. 6d.

*THE SAME, with Answers. 18mo, cloth. 1s. 6d. EXAMINATION PAPERS IN ARITHMETIC.

18mo. 1s. 6d. The Same,

with Answers. 18mo. 2s. Answers, 6d. KEY. 18mo. 4s. 6d.

THE METRIC SYSTEM OF ARITHMETIC, ITS PRINCIPLES AND APPLICATIONS, with Numerous Examples. 18mo. 3d.

A CHART OF THE METRIC SYSTEM, on a Sheet, size 42 in. by 34 in. on Roller. 3s. 6d. Also a Small Chart on a Card. Price 1d.

EASY LESSONS IN ARITHMETIC, combining Exercises in Reading, Writing, Spelling, and Dictation. Part I. Cr. 8vo. 9d.

EXAMINATION CARDS IN ARITHMETIC. With Answers and Hints. Standards I. and II., in box, 1s. Standards III., IV., and V., in boxes, 1s. each. Standard VI. in Two Parts, in boxes, 1s. 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.

BOOK-KEEPING.

*THORNTON.-FIRST LESSONS IN BOOK-KEEPING. By J. THORNTON. Cr. 8vo. 2s. 6d. KEY. Oblong 4to. 10s. 6d.

*PRIMER OF BOOK-KEEPING. 18mo. 1s. KEY. Demy 8vo. 2s. 6d.

ALGEBRA.

*DALTON.-RULES AND EXAMPLES IN ALGEBRA.

By Rev. T. DALTON,

Assistant Master at Eton. Part I. 18mo. 2s. KEY. Cr. 8vo. 7s. 6d. Part II. 18mo. 2s. 6d. HALL and KNIGHT.-Works by H. S. HALL, M.A., Master of the Military and Engineering Side, Clifton College, and S. R. KNIGHT, B.A. *ELEMENTARY ALGEBRA FOR SCHOOLS. 6th Ed., revised and corrected. Gl. 8vo, bound in maroon coloured cloth, 3s. 6d.; with Answers, bound in green coloured cloth, 4s. 6d. KEY. 8s. 6d.

To accom

*ALGEBRAICAL EXERCISES AND EXAMINATION PAPERS. pany ELEMENTARY ALGEBRA. 2d Ed., revised. Gl. 8vo. 2s. 6d. *HIGHER ALGEBRA. 3d Ed. Cr. 8vo. 7s. 6d. KEY. Cr. 8vo. 10s. 6d. *JONES and CHEYNE.-ALGEBRAICAL EXERCISES. Progressively Arranged. By Rev. C. A. JONES and C. H. CHEYNE, M.A., late Mathematical Masters at Westminster School. 18mo. 2s. 6d.

KEY. By Rev. W. FAILES, M.A., Mathematical Master at Westminster School. Cr. 8vo. 7s. 6d.

SMITH.—ARITHMETIC AND ALGEBRA, in their Principles and Application; with numerous systematically arranged Examples taken from the Cambridge Examination Papers, with especial reference to the Ordinary Examination for the B.A. Degree. By Rev. BARNARD SMITH, M.A. New Edition, carefully revised. Cr. 8vo. 10s. 6d.

SMITH.-Works by CHARLES

Cambridge.

SMITH, M.A., Master of Sidney Sussex College,

*ELEMENTARY ALGEBRA. 2d Ed., revised. Gl. 8vo. 4s. 6d.

*A TREATISE ON ALGEBRA. 2d Ed. Cr. 8vo. 7s. 6d. KEY. Cr. 8vo. 10s. 6d.

TODHUNTER.-Works by ISAAC TODHUNTER, F.R.S.
*ALGEBRA FOR BEGINNERS. 18mo. 2s. 6d. KEY.
*ALGEBRA FOR COLLEGES AND SCHOOLS.
8vo. 10s. 6d.

Cr. 8vo.

Cr. 8vo.

7s. 6d.

6s. 6d. KEY. Cr.

EUCLID AND PURE GEOMETRY.

COCKSHOTT and WALTERS.-A TREATISE ON GEOMETRICAL CONICS.
In accordance with the Syllabus of the Association for the Improvement of
Geometrical Teaching. By A. COCKSHOTT, M.A., Assistant Master at Eton,
and Rev. F. B. WALTERS, M.A., Principal of King William's College, Isle of
Man. Cr. 8vo. 5s.
CONSTABLE.-GEOMETRICAL EXERCISES FOR BEGINNERS. BY SAMUEL
Cr. 8vo. 3s. 6d.

CONSTABLE.

CUTHBERTSON.-EUCLIDIAN GEOMETRY. BY FRANCIS CUTHBERTSON, M.A., LL.D. Ex. fcap. 8vo. 4s. 6d.

DAY.-PROPERTIES OF CONIC SECTIONS PROVED GEOMETRICALLY. By Rev. H. G. DAY, M.A. Part I. The Ellipse, with an ample collection of Problems. Cr. 8vo. 3s. 6d.

DODGSON.-Works by CHARLES L. DODGSON, M.A., Student and late Mathematical Lecturer, Christ Church, Oxford.

EUCLID, BOOKS I. AND II. 6th Ed., with words substituted for the Algebraical Symbols used in the 1st Ed. Cr. 8vo. 2s.

EUCLID AND HIS MODERN RIVALS. 2d Ed. Cr. 8vo. 6s.

CURIOSA MATHEMATICA. Part I. A New Theory of Parallels. 3d Ed. Cr. 8vo. 2s.

In

DREW.-GEOMETRICAL TREATISE ON CONIC SECTIONS. By W. H. DREW, M.A. New Ed., enlarged. Cr. 8vo. 5s. DUPUIS.-ELEMENTARY SYNTHETIC GEOMETRY OF THE POINT, LINE AND CIRCLE IN THE PLANE. By N. F. DUPUIS, M.A., Professor of Pure Mathematics in the University of Queen's College, Kingston, Canada. Gl. 8vo. 4s. 6d. *HALL and STEVENS.-A TEXT-BOOK OF EUCLID'S ELEMENTS. cluding Alternative Proofs, together with additional Theorems and Exercises, classified and arranged. By H. S. HALL, M.A., and F. H. STEVENS, M.A., Masters of the Military and Engineering Side, Clifton College. Gl. 8vo. Book I., 1s.; Books I. and II., 1s. 6d.; Books I.-IV., 3s.; Books III.-IV., 2s.; Books V.-VI. and XI., 2s. 6d.; Books I.-VI. and XI., 4s. 6d.; Book XI., is. [KEY. In preparation. HALSTED. THE ELEMENTS OF GEOMETRY. By G. B. HALSTED, Professor of Pure and Applied Mathematics in the University of Texas. 8vo. 12s. 6d. HAYWARD. THE ELEMENTS OF SOLID GEOMETRY. By R. B. HAYWARD, M.A., F.R.S. Gl. 8vo. LOCK.-EUCLID FOR BEGINNERS. Being an Introduction to existing TextBooks. By Rev. J. B. LOCK, M.A. [In preparation. The Parabola. By 2s.

3s.

MILNE and DAVIS.-GEOMETRICAL CONICS. Part I. Rev. J. J. MILNE, M.A., and R. F. DAVIS, M.A. Cr. 8vo. RICHARDSON. THE PROGRESSIVE EUCLID. Books I. and II. With Notes, Exercises, and Deductions. Edited by A. T. RICHARDSON, M.A., Senior Mathematical Master at the Isle of Wight College. Illustrated. Gl. 8vo. [In the Press. SYLLABUS OF PLANE GEOMETRY (corresponding to Euclid, Books I.-VI.) Prepared by the Association for the Improvement of Geometrical Teaching. Cr. 8vo. 1s. SYLLABUS OF MODERN PLANE GEOMETRY.-Prepared by the Association for the Improvement of Geometrical Teaching. Cr. 8vo. Sewed. 1s. *TODHUNTER.-THE ELEMENTS OF EUCLID. By I. TODHUNTER, F.R.S. 18mo. 3s. 6d. Books I. and II. 1s. KEY. Cr. 8vo. 6s. 6d. WILSON.-Works by Rev. J. M. WILSON, M.A., formerly Headmaster of Clifton College. ELEMENTARY GEOMETRY. BOOKS I.-V. Containing the Subjects of Euclid's first Six Books. Following the Syllabus of the Geometrical Associa tion. Ex. fcap. 8vo. 4s. 6d.

GEOMETRICAL DRAWING- -TRIGONOMETRY

WILSON.-Works by Rev. J. M. WILSON-continued. SOLID GEOMETRY AND CONIC SECTIONS. versals and Harmonic Division. Ex. fcap. 8vo.

25

With Appendices on Trans3s. 6d.

GEOMETRICAL DRAWING.

EAGLES.-CONSTRUCTIVE GEOMETRY OF PLANE CURVES. By T. H. EAGLES, M.A., Instructor in Geometrical Drawing and Lecturer in Architecture at the Royal Indian Engineering College, Cooper's Hill. Cr. 8vo. 12s. EDGAR and PRITCHARD. NOTE BOOK ON PRACTICAL SOLID OR DESCRIPTIVE GEOMETRY. Containing Problems with help for Solutions. By J. H. EDGAR and G. S. PRITCHARD. 4th Ed., revised by A. MEEZE. Gl. 8vo. 4s. 6d.

*KITCHENER.-A GEOMETRICAL NOTE-BOOK. Containing Easy Problems in Geometrical Drawing preparatory to the Study of Geometry. For the Use of Schools. By F. E. KITCHENER, M.A., Headmaster of the Newcastle-underLyme High School. 4to. 2s. MILLAR.-ELEMENTS OF DESCRIPTIVE GEOMETRY. By J. B. MILLAR, Civil Engineer, Lecturer on Engineering in the Victoria University, Manchester. 2d Ed. Cr. 8vo.

6s.

PLANT.-PRACTICAL PLANE AND DESCRIPTIVE GEOMETRY. By E. C. PLANT. Globe 8vo. [In preparation.

MENSURATION.

STEVENS.-ELEMENTARY MENSURATION. With Exercises on the Mensuration of Plane and Solid Figures. By F. H. STEVENS, M.A. Gl. 8vo.

3s. 6d.

[In preparation. By S. TEBAY. By ISAAC TODHUNTER,

TEBAY.-ELEMENTARY MENSURATION FOR SCHOOLS.
Ex. fcap. 8vo.
*TODHUNTER.-MENSURATION FOR BEGINNERS.

F.R.S. 18mo. 2s. 6d. KEY. By Rev. FR. L. MCCARTHY. Cr. 8vo. 7s. 6d.

TRIGONOMETRY.

BEASLEY.-AN ELEMENTARY TREATISE ON PLANE TRIGONOMETRY. With Examples. By R. D. BEASLEY, M.A. 9th Ed., revised and enlarged. Cr. 8vo. 3s. 6d. BOTTOMLEY.-FOUR-FIGURE MATHEMATICAL TABLES. Comprising Logarithmic and Trigonometrical Tables, and Tables of Squares, Square Roots, and Reciprocals. By J. T. BOTTOMLEY, M.A., Lecturer in Natural Philosophy in the University of Glasgow. 8vo. 2s. 6d. HAYWARD.-THE ALGEBRA OF CO-PLANAR VECTORS AND TRIGONOMETRY. By R. B. HAYWARD, M.A., F.R.S., Assistant Master at Harrow. [In preparation. JOHNSON.-A TREATISE ON TRIGONOMETRY. By W. E. JOHNSON, M.A., late Scholar and Assistant Mathematical Lecturer at King's College, Cambridge. Cr. 8vo.

8s. 6d.

LEVETT and DAVISON.-ELEMENTS OF TRIGONOMETRY. By RAWDON LEVETT and CHARLES DAVISON, Assistant Masters at King Edward's School, Birmingham. [In the Press. LOCK.-Works by Rev. J. B. Lock, M.A., Senior Fellow and Bursar of Gonville and Caius College, Cambridge. *TRIGONOMETRY FOR BEGINNERS, as far as the Solution of Triangles. 3d Ed. Gl. 8vo. 2s. 6d. KEY. Cr. 8vo. 6s. 6d. *ELEMENTARY TRIGONOMETRY. 6th Ed. (in this logarithms has been carefully revised). Gl. 8vo. 4s. 6d. HIGHER TRIGONOMETRY. 5th Ed. Gl. 8vo. 4s. 6d. in One Volume. Gl. 8vo. 7s. 6d.

TRIGONOMETRY OF ONE ANGLE. Gl. 8vo.

edition the chapter on KEY. Cr. 8vo. 8s. 6d.

Both Parts complete

[January 1891.

26

MATHEMATICS

M'CLELLAND and PRESTON.-A TREATISE ON SPHERICAL TRIGONOMETRY. With applications to Spherical Geometry and numerous Examples. By W. J. M'CLELLAND, M.A., Principal of the Incorporated Society's School, Santry, Dublin, and T. PRESTON, M.A. Cr. 8vo. 8s. 6d., or: Part I. To the End of Solution of Triangles, 4s. 6d. Part II., 5s.

MATTHEWS.—MANUAL OF LOGARITHMS. By G. F. MATTHEWS, B.A. 8vo. 5s. net.

PALMER.-TEXT-BOOK OF PRACTICAL LOGARITHMS AND TRIGONOMETRY. By J. H. PALMER, Headmaster, R.N., H.M.S. Cambridge, Devonport. Gl. 8vo. 4s. 6d.

SNOWBALL.-THE ELEMENTS OF PLANE AND SPHERICAL TRIGONO-
METRY. By J. C. SNOWBALL. 14th Ed. Cr. 8vo. 7s. 6d.
TODHUNTER.-Works by ISAAC TODHUNTER, F.R.S.

TRIGONOMETRY FOR BEGINNERS. 18mo. 2s. 6d. KEY. Cr. 8vo. 8s. 6d.
PLANE TRIGONOMETRY. Cr. 8vo. 5s. KEY. Cr. 8vo. 10s. 6d.

[A New Edition, revised by R. W. HOGG, M.A. In the Press.

A TREATISE ON SPHERICAL TRIGONOMETRY. Cr. 8vo. 4s. 6d. WOLSTENHOLME.-EXAMPLES FOR PRACTICE IN THE USE OF SEVENFIGURE LOGARITHMS. By JOSEPH WOLSTENHOLME, D.Sc., late Professor of Mathematics in the Royal Indian Engineering Coll., Cooper's Hill. 8vo.

58.

ANALYTICAL GEOMETRY (Plane and Solid). DYER.-EXERCISES IN ANALYTICAL GEOMETRY. By J. M. DYER, M.A. Assistant Master at Eton. Illustrated. Cr. 8vo. 4s. 6d.

FERRERS.-AN ELEMENTARY TREATISE ON TRILINEAR CO-ORDINATES, the Method of Reciprocal Polars, and the Theory of Projectors. By the Rev. N. M. FERRERS, D.D., F.R.S., Master of Gonville and Caius College, Cambridge. 4th Ed., revised. Cr. 8vo. 6s. 6d.

FROST.-Works by PERCIVAL FROST, D.Sc., F.R.S., Fellow and Mathematical
Lecturer at King's College, Cambridge.

AN ELEMENTARY TREATISE ON CURVE TRACING. 8vo. 12s.
SOLID GEOMETRY. 3d Ed. Demy 8vo. 16s.

HINTS FOR THE SOLUTION OF PROBLEMS in the Third Edition of SOLID
GEOMETRY. 8vo. 8s. 6d.

JOHNSON.-CURVE TRACING IN CARTESIAN CO-ORDINATES. By W. WOOLSEY JOHNSON, Professor of Mathematics at the U.S. Naval Academy, Annapolis, Maryland. Cr. 8vo. 4s. 6d.

M'CLELLAND.-THE GEOMETRY OF THE CIRCLE. By W. J. M'CLELLAND, M.A. [In the Press. PUCKLE.-AN ELEMENTARY TREATISE ON CONIC SECTIONS AND ALGEBRAIC GEOMETRY. With Numerous Examples and Hints for their Solution. By G. H. PUCKLE, M.A. 5th Ed., revised and enlarged. Cr. 8vo. 7s. 6d.

SMITH.-Works by CHARLES SMITH, M.A., Master of Sidney Sussex College, Cambridge.

CONIC SECTIONS. 7th Ed. Cr. 8vo. 7s. 6d.

SOLUTIONS TO CONIC SECTIONS. Cr. 8vo. 10s. 6d.

AN ELEMENTARY TREATISE ON SOLID GEOMETRY. 2d Ed. Cr. 8vo. 9s. 6d.

TODHUNTER.-Works by ISAAC TODHUNTER, F.R.S.

PLANE CO-ORDINATE GEOMETRY, as applied to the Straight Line and the Conic Sections. Cr. 8vo. 7s. 6d.

KEY. By C. W. BOURNE, M.A., Headmaster of King's College School. Cr. 8vo. 10s. 6d.

EXAMPLES OF ANALYTICAL GEOMETRY OF THREE DIMENSIONS. New Ed., revised. Cr. 8vo. 4s.