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FRANCIS HODGSON,

89 FARRINGDON STREET, E.C.

THE HAMILTONIAN SYSTEM ;

OR, A SHORT AND EASY METHOD OF LEARNING A FOREIGN LANGUAGE

BY A CLOSE INTERLINEAR TRANSLATION.

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“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.

Westminster Review.

8. d.

Latin and English.

French and English.

8. d. Gospel of St. John 2 6 Gospel of St. John...

2 6 Cæsar's Commentaries, Bk. I. 2 0 Télémaque

3 6 do. Bks. 1-VI. 4 6 Florian's Fables...

2 0 Virgil's Æneid, Books I.-IV. 3 6 Perrin's Fables

2 6 Sallust, Catiline and Jugurtha 4 6 Petit Jack

2 6 Or separately, Catiline 2 0 Recueil Choisi

3 6 Jugurtha... 3 0 French Verbs ....

1 6 Ovid's Metamorphoses........ 4 6 French Grammar ............ 2 0 Phædrus' Fables

2 6 Eutropius.....

2 6

German and English. Æsop's Fables.

26 Cornelius Nepos....

Gospel of St. John

2 6 3 6

Robinson der Jüngere, 2 vols. 5 6 Cicero in Catilinam

2 6 Selectæ è Profanis Historiæ ... 5 6

Or separately,
Text

26 Or separately, Vol. I. 2 6

Translation

3 6 Vol. II....... 3 6 Edward in Scotland

2 6 Epitome Historiæ Sacræ......... 2 6 Aurelius Victor

2 6 Latin Verbs ......

Italian and English.

1 6 Medical Student's Guide..... 3 6 Gospel of St. John ............ 2 6 Gregory's Conspectus, 2 yols. 6 Raccolta di Favole

3 0 Or separately, each vol. ... 3 6 Silvio Pellico

2 6 Novelle Morali

2 6 Greek and English. Notti Romane..

3 6 Gospel of St. John.........

3 0

Tasso's Jerusalem Delivered... 30 Analecta Græca Minora.........

Verbs ......... 0

1 6 Xenophon's Memorabilia 3 0 Homer's Iliad....

Spanish and English.

3 6 Aphorisms of Hippocrates...... 26 Gospel of St. John

2 6 Each book contains the Text as well as the analytical, interlineal,

and literal Translation,

6

3

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.

CONTENTS.
No. 1. Straight Lines and their No. 7. Trees.
Combinations, &c.

No. 8. The Human Figure.
No. 2. Rectilineal Figures.

No. 9. Animals and Rustic Figures. No. 3. Curves.

No. 10. Ornament. No. 4. Outlines of Fainiliar Objects. No. 11. Flowers. No. 5. Shaded Figures.

No. 12. Maps. No. 6. Introduction to Perspective.

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.

;

Ninth Edition, 12mo, cloth, price 2s.; or, with the Answers, 2s.6d.

OGICAL ARITHMETIC; being a Text-Book for portional 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.

Third Edition, cloth lettered, 12mo, price 3s. EXAMPLES in ALGEBRA for SENIOR CLASSES.

Containing Examples in Fractions, Surds, Equations, Progressions, &c.,

and Problems of a higher range. THE KEY; containing complete Solutions to the Questions in the

“Examples in Algebra for Senior Classes,” to Quadratics inclusive. 12mo, cloth, price 3s. 6d.

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Eighth Edition. Small crown 8vo, cloth lettered, price 2s. 6d.

AN INTRODUCTORY COURSE OF

PLANE TRIGONOMETRY AND LOGARITHMS.

66

By JOHN WALMSLEY, B.A. “ This book is carefully done; has full extent of matter, and good store of examples.”-Atheneum.

This is a carefully worked-out treatise, with a very large collection of well-chosen and well-arranged examples.”Papers for the Schoolmaster.

“This is an excellent work. The proofs of the several propositions are distinct, the explanations clear and concise, and the general plan of arrangement accurate and methodical."--The Museum and English Journal of Education.

“The explanations of logarithms are remarkably full and clear.... The several parts of the subject are, throughout the work, treated according to the most recent and approved methods..... It is, in fact, a book for beginners, and by far the simplest and most satisfactory work of the kind we have met with.”- Educational Times.

Price Five Shillings, And will be supplied to Teachers and Private Students only, on application

to the Publisher, enclosing the FULL price; KEY to the above, containing Solutions of all the Examples therein.

By the same Author.
Fcap. 8vo, cloth, price 5s.

PLANE TRIGONOMETRY AND LOGARITHMS.

.

FOR SCHOOLS AND COLLEGES.
Comprising the higher branches of the subject not treated in the

elementary work.

DEMONSTRATIVE STATICS.

Suitable for Students preparing for the University Local and similar

Examinations.

In the press.
AN INTRODUCTORY COURSE OF

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

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
Academy, Woolwich.

Royal 8vo, price 7s. 6d.

ON THE ELEMENTS OF APPLIED

MECHANICS. Comprising (1) Stability of Structures; (2) Strength of Materials. By MORGAN W. CROFTON, F.R.S., Professor of Mathematics and Mechanics at the Royal Military Academy, Woolwich.

Demy 8vo, price 7s. 6d. Second Edition.

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.

Extra fcap. 8vo, price 4s. 6d. Second Edition.

ELEM

LEMENTARY

MANUAL

OF

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

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

A 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.

Part II. Section VIII., Differential Calculus, 2s.; IX. Integral Calculus, 3s. 6d.; Sections X.-XIII, in the Press.

The work is designed for the use of University and other Candidates who may be reading for examination. It forms a digest of the contents of ordinary treatises, and is arranged so as to enable the student rapidly to revise his subjects. To this end, all the important propositions in each branch of Mathematics are presented within the compass of a few pages. This has been accomplished, firstly, by the omission of all extraneous matter and redundant explanations, and secondly, by carefully compressing the demonstrations in such a manner as to place only the leading steps of each prominently before the reader. The whole is intended to form, when completed, a permanent work of reference for mathematical readers generally.

Demy 8vo, price 5s. each.

TRACTS relating to the MODERN HIGHER

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