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THE HAMILTONIAN SYSTEM;

OR, A SHORT AND EASY METHOD OF LEARNING A FOREIGN LANGUAGE BY A CLOSE INTERLINEAR TRANSLATION.

"The Hamiltonian System teaches an unknown tongue by the closest interlinear translation, instead of leaving the pupil to explore his way by the lexicon or dictionary. In fine, we are strongly persuaded that, the time being given, this system will make better scholars; and, the degree of Scholarship being given, a much shorter time will be needed. If there is any truth in this, it will make Mr. Hamilton one of the most useful men of his age." Edinburgh Review.

"The Hamiltonian Method is excellent as a system."-Quarterly Review. "The Hamiltonian System is the most extraordinary improvement in the method of instruction which the ingenuity of the human mind has hitherto devised. We ascribe to the Author of the Hamiltonian System exclusively the great merit of introducing translations made in invariable accordance with the principle of a strictly verbal analysis, and it is this peculiarity which renders them such invaluable instruments to the learner.

Latin and English.

Westminster Review.

Gospel of St. John

2 6

Gospel of St. John.........
Télémaque

Florian's Fables..

20

4 6

2 0

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Ovid's Metamorphoses.......

***Each book contains the Text as well as the analytical, interlineal,

and literal Translation.

Verbs

1 6

Gospel of St. John

2 6

In Twelve Numbers, interleaved with tissue paper, price 1s. each.

First Lessons in Drawing and Design;

OR, PENCILLED COPIES AND EASY EXAMPLES. For the use of Schools and Families, and intended as a Preparation for the Drawing Master.

BY GEORGE CARPENTER,

Principal Drawing Master in the Stationers' Company's Grammar School.

The Series embraces a complete course of Elementary Drawing, consisting of appropriate and carefully graduated Copies, advancing from the simple stroke to the most difficult outline, printed in pencil-coloured ink, to be first drawn over, and then imitated. The Exercises have been so simplified as to render the art of Drawing as easy of attainment as that of Writing. As soon as children are able to write, they are also able to draw. And for the purpose of early training, in order that their ideas of Form may become correct, and the eye and hand acquire the habit of working in unison without effort, it is confidently believed that no Series of Drawing Books exists which can compare with the present.

WORKS BY J. WHARTON, M.A.

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LOGICAL ARITHMETIC; being a Text-Book for

Class Teaching; and comprising a Course of Fractional and Proportional Arithmetic, an Introduction to Logarithms, and Selections from the Civil Service, College of Preceptors, and Oxford Examination Papers.

ANSWERS to the QUESTIONS in the LOGICAL ARITHMETIC. 12mo, price 6d.

Thirteenth Edition, 12mo, cloth, price 1s. EXAMPLES in ALGEBRA for JUNIOR CLASSES. Adapted to all Text-Books; and arranged to assist both the Tutor and the Pupil.

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AN INTRODUCTORY COURSE OF

PLANE TRIGONOMETRY AND LOGARITHMS.

By JOHN WALMSLEY, B.A.

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KEY to the above, containing Solutions of all the Examples therein.

By the same Author.

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PLANE TRIGONOMETRY AND LOGARITHMS.

FOR SCHOOLS AND COLLEGES.

Comprising the higher branches of the subject not treated in the elementary work.

Suitable for Students preparing for the University Local and similar
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In the press.

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text.

AN INTRODUCTORY COURSE OF

EMONSTRATIVE STATICS. With numerous
Examples, many of which are fully worked out in illustration of the

A series of papers is appended which are composed for the most part of questions taken from modern examination papers, such as the University Local, College of Preceptors, London University, Woolwich, &c. These will be found suitable either for revision purposes or as test-papers.

In the preparation of the text, the best authorities have been consulted, including Thomson and Tait, Clerk Maxwell, Rankine, Todhunter, Minchin, Poinsot, &c.; and endeavour has been made to cope with every difficulty which fairly lies within the scope of such a work.

Whatever order may be taken by teachers with the treatment of Experimental Dynamics ("Mechanics" or "Natural Philosophy"), or in the higher study of Demonstrative ("Rational") Dynamics, the writer believes that it is still found most convenient to enter upon the methods of the latter branch of the subject by taking those of Statics first. Various syllabuses, which have come under his notice, of Courses of Lectures delivered by eminent professors, some of whom may be described as "advanced" in their opinions on the point, appear to confirm this view.

Accordingly, the needs of a beginner have been considered in giving the details both of exposition and worked examples, and in constructing and graduating the Exercises. At the same time, by means of two short appendices, it has been rendered indifferent whether the entire work be taken before or after the study of Kinetics.

Text-books used in the Royal Military

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LECTURES ON THE ELEMENTS OF APPLIED

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TRACTS ON MECHANICS. In Three Parts

Parts 1 and 2, On the Theory of Work, and Graphical Solution of Statical Problems; by MORGAN W. CROFTON, F. R.S., Professor of Mathematics and Mechanics at the Royal Military Academy. Part 3, Artillery Machines; by Major EDGAR KENSINGTON, R.A., Professor of Mathematics and Artillery at the Royal Military College of Canada.

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LEMENTARY

GEOMETRY AND CONIC SECTIONS. By Rev. J. WHITE, M.A., Head Master of the Royal Naval School, New Cross.

A

Part I. now ready, 280 pp., Royal 8vo, price 12s.

SYNOPSIS of PURE and APPLIED MATH

MATICS. By G. S. CARR, M.A., late Prizeman and Scholar of Gonville and Caius College, Cambridge.

The work may also be had in Sections, separately, as follows:-Section I., Mathematical Tables, 2s.; II., Algebra, 2s. 6d. ; III. Theory of Equations and Determinants, 2s. ; IV. & V. together, Plane and Spherical Trigonometry, 2s.; VI., Elementary Geometry, 2s. 6d.; VII., Geometrical Conics, 2s.

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TRACTS relating to the MODERN HIGHER

MATHEMATICS. By the Rev. W, J. WRIGHT, M.A.

TRACT No. 1.-DETERMINANTS.

د,

No. 2.-TRILINEAR COORDINATES.