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New Elementary Algebra:

AN EASY ANALYTIC COURSE

OF

THEORETICAL AND PRACTICAL ALGEBRA,

COMBINING THE

MOST APPROVED MODERN METHODS, PROGRESSIVELY DEVELOPED AND SIMPLIFIED.

THIS book is not a revised edition of the "TREATISE," a work which has largely shared public favor, but entirely a NEW WORK, of a more elementary character; simple and easy, yet comprehensive, and designed to meet the growing wants of classes in Common Schools, which finish arithmetic at a comparative early age.

The subject has been treated analytically throughout, and every effort has been made to combine logical clearness and exhaustive thoroughness with terseness and elegant conciseness.

DISCUSSION OF PROBLEMS, RATIONALIZATION, RADICAL EQUATIONS, and several other topics, have been included, to give completeness to the book, but all treated in a manner to be readily comprehended by beginners.

In short, no labor or expense has been spared to make this work the BEST of its kind ever published in any country.

The completion of GREENLEAF'S SERIES now, by the addition of the NEW EleMENTARY ALGEBRA, offers an inducement, it is believed, for a systematic effort to bring about in States an entire uniformity, both in Common Schools and Academies, upon

GREENLEAF'S WELL-TRIED BOOKS, which, as has been truly said, by a distinguished Professor of Mathematics, "IN POPULARITY HAVE NO PARALLEL IN EITHER HEMISPHERE."

GREENLEAF'S NEW ELEMENTARY ALGEBRA will be published in September, 1862. Specimen copies will be furnished to Teachers and Committees, on application to the Publishers. 12mo, 324 pp. Wait and get the Latest and Best!

GREENLEAF'S MATHEMATICAL SERIES

Is so generally used in the best Schools of every State in the Union, as to have become A NATIONAL STANDARD.

TERMS OF INTRODUCTION.

New Primary Arithmetic, exchanged for the old book and.............

$0.06

Dozen prices. $0.09

Intellectual Arithmetic,
Common School Arithmetic,

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National Arithmetic,

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Geometry and Trigonometry,

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All interested are respectfully invited to correspond with us.

Published by ROBERT S. DAVIS & CO., Boston.

Sept. 62. tf.

CIRCULAR TO TEACHERS

Of Massachusetts and New England.

Having recently issued the following educational works, including Prof. Davies' revised editions, we desire to call your attention to their merits, with reference to their introduction into your schools, and propose to furnish you with a specimen copy of each, for your examination, at one-half the retail prices annexed:

PROF. DAVIES' NEW EDITIONS.

I. Primary Arithmetic. Designed for beginners, being adapted to the capacities and wants of very young children. Price 15 cents. (Just Published.)

II. New Intellectual Arithmetic; or, an Analysis of the Science of Numbers, with special reference to mental training and development. Price 25 cents. (Just published.) III. Elements of Written Arithmetic. Designed as a practical introduction to the study of the Arithmetic. Price 25 cents. (Ready in November.)

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VII. Dictation and Pronunciation. Containing a large number of the most difficult words in the language, including nearly three hundred Military and War Terms, together with a variety of useful lessons. By CHARLES NORTHEND, A. M. Price 50 cents.

VIII. The Boy Soldier, or Infantry
Tactics. For Schools. Explained and illus-
trated for the use of Teachers and Scholars.
By the author of School Amusements. Price
50 cents.

IX. Natural Philosophy. Edited from
"GANOT's Popular Physics." By WM. G. PECK,
Professor of Mathematics, Columbia College,
New York. Price $1.

X. French Class Book. Embracing
Grammar, Literature, with Commercial Cor-
respondence, and an adequate Dictionary. By
LOUIS PUJOL and Rev. D. C. VAN NORMAN.
Price $150.

XI. Hand-Book of Universal Literature. From the best and latest authorities. By A. C. LYNCH BOTTS. Price $1 25.

XII. Zachos' Analytic Elocution. An Analysis of the powers of the voice, for the purpose of expression in speaking. Illustrated by copious examples, and marked by a system of notation. Price $1.

XIII. Berard's History of England.
Designed to combine a History of the Social
Life of the English people, with that of the
Civil and Military Transactions of the Realm.
Price $1.

XIV. Mansfield's Political Manual. Being a complete view of the Theory and Practice of the General and State Governments of the United States. Price 75 cents.

XV. Young Citizen's Catechism. Explaining the Duties of District, Town, County, State, and United States officers, together with rules for Parliamentary and Commercial Business. By ELISHA P. HOWE. Price 50 cents.

XVI. Wood's Class-Book of Botany.
Being outlines of the Structure, Physiology,
and Classification of Plants, with a Flora of the
United States and Canada. Price $2.

XVII. Analysis of the English Sentence. New edition. Designed for advanced in English Grammar. By A. S. WELCH, A. M., Principal of Michigan State Normal School. Price 75 cents.

XVIII. Hanna's Bible History; a Text-
Book for Seminaries, Schools, and Families.
Price $1.

XIX. Norton & Porter's First Book of Science. Two parts in one, $1; or separate, 60 cents each book.

XX. Porter's Chemistry. Principles of Chemistry; embracing the most recent discoveries in the Seience, and the outlines of the applications to agriculture and the arts. By JOHN A. PORTER. Price $1. (Box of chemicals, prepared expressly for this work, $8.)

NEW YORK, July 1st, 1862.

P. S. A. S. BARNES & BURR announce the early issue of a new work on " Graded Schools," and Course of Study, by W. H. WELLS, Superintendent of Schools, Chicago; also, Mr. BATES' late work on Teachers' institutes," and the best methods for conducting them; of which the editor of Illinois Teacher says: "It should be a vade mecum of every conductor of Institutes." These works cannot fail to be valuable additions to the "Teachers' Library."

SEND FOR A. S. BARNES & BURR'S CATALOGUE!

Aug. '62.-2m.

(ESTABLISHED IN 1855.)

A BUREAU OF EDUCATIONAL INFORMATION,

For SCHOOL OFFICERS, PRINCIPALS, and HEADS OF FAMILIES who wish to employ well-qualified TEACHERS;

For TEACHERS who seek suitable appointments;

For giving PARENTS and GUARDIANS particulars of GOOD SCHOOLS;

For selling and renting SCHOOL PROPERTIES;

For supplying Teachers and School Officers with School Books, Globes, Maps, Charts, Diagrams, Philosophical and Chemical Apparatus, Black-Boards, Crayons, Liquid-Slating, School Furniture, Pianos, Sheet Music, Stationery, Artists' Materials - in short, with every possible kind of School Merchandise, at large discounts from regular rates.

From an Address by Rev. Samuel Lockwood, before a Teachers' Association, October, 1860. 66 Perhaps the most remarkable exponent of what method may accomplish, is that system of Educational Tactics as conducted and developed by the AMERICAN SCHOOL INSTITUTE.' Here is a set of gentlemen who keep themselves posted on the entire educational wants of the whole country. Every department of education, high or low, comes within their plan. The apparatus, the literature, the wants and resources of education, are tabled, as in a BUREAU OF EDUCATIONAL STATISTICS.

"And now mark the value of such knowledge. In a time consideration, what saving! Instead of schools being closed, or suffered to decline until the right man turns up, one is provided whose calibre is known. The right man in the right place.'

"The loss of time, misdirection of talent, imposition by unprofessional charlatanry, each in itself no small misfortune to patron or pupil, are happily avoided."

Persons making inquiries by mail, should inclose stamps for answers. details sent when applied for.

Circulars giving G. S. WOODMAN & COMPANY, Agents for Schools and Teachers. 596 BROADWAY, NEW YORK. Branch Office, 25 North Fourth St., Philadelphia. Aug. '62.5t.

STATE NORMAL SCHOOLS.

THE Schools at Framingham and Salem are designed for the education of Female Teachers; those at Bridgewater and Westfield, for the education of Teachers of both sexes. Tuition is free to those who intend to teach in the public schools of Massachusetts, wherever they may have previously resided; and, if needed, pecuniary aid is also given to pupils from Massachusetts. The text-books required are mostly furnished from the libraries of the Schools.

The Terms Commence, in each School, as follows:
AT SALEM,

On the last Wednesday of February, and first Wednesday of September.

AT FRAMINGHAM,

On the first Wednesday of March, and September.

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On the second Wednesday of March and third Wednesday of September.

AT WESTFIELD,

On the fourth Wednesday of March and September.

Candidates for Admission are examined on the first day of each Term; except at Framingham, where the examination takes place on the day preceding. For Circulars, or further information, apply to the Principals of the several schools.

Feb. '61.

CROSBY & NICHOLS

PUBLISH

A PREPARATORY LATIN PROSE BOOK:

Containing all the Latin Prose necessary for entering College, with References to Kuhner's and Andrews and Stoddard's Latin Grammars, Notes, critical and explanatory, a Vocabulary, and a Geographical and Historical Index. By J. H. HANSON, A. M., Principal of the High School for Boys, Portland, Me. Fourth edition. 12mo. pp. 775. Price $1.50.

The many advantages combined in this work, which have never before been attempted, claim for it the attention of all interested in the study of the Latin language.

Its preparation was commenced some years since, in the belief that the Latin preparatory course for College, both in the variety and arrangements of the materials composing it and in the materials themselves, could be improved; and that, by comprising in a single volume what is usually obtained from three or four, the expenses of the young student could be very considerably lessened. A desire to awaken a deeper interest in classical studies, as well as to promote thoroughness in their pursuit, and to contribute something towards placing the advantages of a liberal education within the reach of all, is the author's reason for adding another to the already numerous list of school-books.

"I have examined with care the Latin Prose Book which you sent me. I have known Mr. Hanson, the editor, for many years, as a ripe and conscientious scholar, and was prepared to find his work well done; but it certainly exceeded my expectations. The selections are good; the notes terse, scholarly, and admirably put. The whole work shows the presence of the sound scholar and the skillful teacher. It seems to me a book most admirably adapted to the purposes of students preparing for college. I beg leave to recommend the work most heartily to teachers."-Rev. Dr. ANDERSON, Pres. Rochester Univ. ÆSTHETICS; OR, SCIENCE OF BEAUTY:

By JOHN BASCOM, Professor in Williams College. 12mo. Price 80c.

This work was written with a desire to supply the want of an exclusive and compact treatise on the principles of taste, there being no work which gives itself singly to a systematic statement of the nature of beauty, and of its primary and fundamental laws.

NEW WORK ON ANALYSIS:

ENGLISH ANALYSIS; containing forms for the complete analysis of English composition, together with selections for analysis from the best English authors. Designed to accompany the study of English Grammar in High and Grammar Schools By EDWARD P. BATES, A. M., Principal of Cotting Academy, West Cambridge, Mass. 12mo. Half morocco. Price 40 cents.

Payson, Dunton & Scribner's Combined System of Penmanship: Comprising the Common School Series, the Business Series, and the Ladies' Series; with copies at the head of each page, executed in the most beautiful manner and in a style exactly resembling the hand-writing of the authors.

The history of this series of copy-books is unprecedented in the annals of chirography, and its wonderful success is only to be accounted for by its unequalled merit and its peculiar adaptation to the wants of our schools.

Its authors are devoted to their profession; and their combined experience is brought to bear upon the system, improving upon it from time to time, as it is found capable of improvement.

It is the best and most successful system of penmanship before the public, and is in use from Maine to California, throughout the States and Territories, and in the British Provinces

The statistics of schools show that no other series of copy-books, in this or any other country, is so largely in use as Payson, Dunton and Scribner's Penmanship. From its universal introduction into our best schools, and from its use and recommendation by the most competent teachers throughout our country, the publishers feel justified in claiming it to be the National System.

A New Idea – Peculiar to this Series:

PAYSON, DUNTON AND SCRIBNER'S OBLIQUE LINES, for teaching the pupil the proper slope in writing. Specimens furnished on receipt of a one cent stamp. HANAFORD & PAYSON'S SYSTEM OF BOOK-KEEPING Comprised in three books. Adapted to Payson, Dunton and Scribner's Combined System of Penmanship. By L. B. HANAFORD, A. M., and J. W. PAYSON, Principals of the Boston Mer. Academy. SINGLE ENTRY. Common School edition. Half morocco. Price 40c. Blanks for do 25e. DOUBLE AND SINGLE ENTRY. High School edition. Half morocco. Price 75 cents; Blanks for do. 38 cents,

ACADEMIC EDITION. Comprising commercial arithmetic, etc., etc. Cloth sides, half morocco. Price $1.50; Blanks for do. 75 cents.

These works are designed to follow the System of Penmanship, so well known, and so deservedly popular, throughout the United States. They combine instruction in both Book-keeping and Penmanship; the exercises being fac-similes of the beautiful style of writing taught in the copy-books. The Chart, Copy-books, and Book-keeping form a series more full and complete than any ever before published.

Please send for a Descriptive Catalogue of our school and miscellaneous books. CROSBY & NICHOLS, 117 WASHINGTON STREET, BOSTON. June, '62.

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