NEW ELEMENTARY ALGEBRA : AN EASY ANALYTIC COURSE OF THEORETICAL & PRACTICAL ALGEBRA, COMBINING THE MOST APPROVED MODERN METHODS, PROGRESSIVELY DEVEL- Sixth Electrotype Edition, Just Essued. ፡፡፡ 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. During the few months that this work has been published, it has been adopted as a Textbook in many of the best schools in various parts of New England and the Middle States, and has received the highest commendations from the most eminent educators, a few of which are subjoined : LONSDALE, R. I., December 31, 1862. I have taken some pains to examine Greenleaf's New Elementary Algebra, recently published. I am glad to find the Author has attained to what seems to have been the prominent object, viz. : Simplification. I am much pleased with the book, not only in the treatment of the subjects gen erally, but in some new ones introduced, as well as the superior mechanical execution of the book. The work is now the text-book in my school. Yours respectfully, JOSEPH M. ROSS, Principal Lonsdale High School. WEST CAMBRIDGE, MASS, December 6, 1862. I have examined "Greenleaf's New Elementary Algebra," a copy of which you so kindly furnished me for examination. I like the work very much, and shall introduce it into my class the next term. It seems to me to embrace all of the principles of Algebra needed for classes in our High Schools and Academies. Our mathematical course now includes Greenleaf's Common School Arithmetic, Elementary Algebra, Geometry and Trigonometry; and, with the single exception of Colburn's Intellectual Arithmetic, these are the only text-books in these branches Very respectfully yours, we use. EDWARD P. BATES, Principal Cotting Academy. RUSSELL'S COLLEGIATE HOME INSTITUTE, NEW HAVEN, November 18, 1862. I have carefully examined Greenleaf's New Elementary Algebra," and am so well pleased with it that I have adopted it as a text-book for beginners. It gives me pleasure to state, that we use Greenleaf's entire Series of Mathematics, and that as a series, I consider them unsurpassed by any now in use. J. B. CHASE, Instructor in Mathematics. KEENE, N. H., January 20, 1863. BENJAMIN GREENLEAF, ESQ.,-SIR: I have examined your "New Elementary Álgebra," also, your "Geometry and Trigonometry." The New Elementary Algebra is a work of transcendent merit, and is admirably calculated to supply the wants of our Common Schools and Academies. The Treatise on Geometry and Trigonometry opens an inexhaustible mine of wealth on these topics, the most important, in their practical results, of the whole range of Mathematics. It is, decidedly, the most complete, elaborate and comprehensive text-book on these subjects, that has come under my notice. It cannot fail to meet the requisitions of the High School, the Academy and the College. JOSEPH PERRY. GREENLEAF'S MATHEMATICAL SERIES Is so generally used in the best Schools of every State in the Union, as to have become NEW PRIMARY ARITHMETIC, NATIONAL ARITHMETIC, ELEMENTS OF GEOMETRY AND TRIGONOMETRY. All interested are respectfully invited to correspond with us. Published by ROBERT 8. DAVIS & CO., Boston. THE HOME CIRCLE. A volume of 216 pages, contains 25 Marches and Quicksteps, 47 Waltzes, 31 Polkas, 6 Schottisches, 4 Redowas, 4 Mazurkas and Polka Mazurkas. 2 Varsoviennes, Í Gorlitza, 4 Galopades, 14 Cotillons and Quadrilles, and 44 Dances, Hornpipes, &c., arranged for the Piano. The Silver Cord. A Companion to the "Home Circle," containing a collection of Favorite Songs, Ballads, Duets and Quartettes, with Accompaniments for the Piano-forte. The Shower of Pearls. Containing the most beautiful Duets for Two Sopranos, Soprano Alto, Soprano and Tenor, Soprano and Bass, and Tenor and Bass. Arranged with an Accompaniment for the Piano-forte. The large amount and great variety of Piano and Vocal Music comprised in the above Collections, have rendered them immensely popular, and much sought after by Players and Singers. They furnish the most suitable pieces for every time and occasion, and are adapted to every grade of performance. Each volume is a complete library in itself of Choice Music, and no one will fail to recognize in one and all a great desideratum for every Piano. Price of each, in cloth, $2.25; in plain binding, $2.00. 4-PART SONGS FOR MALE VOICES. Mendelsshon's Four Part Songs. For Male Voices, two Tenors and two Basses. English and German Words. Price 75c. A collection of Four-Part ment. In five books, plete, 5 volumes, $3. Piano Score, $1.50. ARION: Songs for Male Voices, mainly to be sung without Accompanicomprising separate Vocal parts and Piano Score. Price, comVocal parts, 4 volumes, $2.25. Single Vocal part, 75 cents. For the Sabbath School & the Children at Home. 'THE GOLDEN HARP." Containing FIVE HUNDRED HYMNS, CHORUSES and SELECT PIECES for the Sabbath School, Social Gathering, Picnic and Home Circle. This has been unreservedly recommended to the special attention of all interested in the religious and móral culture of the young, by leading men of all denominations, and contains, in addition to familiar tunes and old favorites, a large number of original pieces prepared expressly for its pages. Price, in boards, 25 cents; $2.50 per dozen. Paper, 20 cents; $1.80 per doz. CONCERTINA & DULCIMER & DULCIMER BOOKS. Concertina Without a Master; Containing Elements of Music, Complete Instructions for the English Concertina, Songs, Marches, Waltzes, Polkas, Dances, &c. Compiled from works of Case, Sedgwick and Ruttinger. 50 cent. GERMAN CONCERTINA INSTRUCTIONS; Containing a complete Course of Study and Exercises, with a collection of Choice Music. By Williams and Coule. 50 cents. THE DULCIMER INSTRUCTOR. Instructions for the Dulcimer, together with Airs, Marches, Waltzes, Schottiches, Hornpipes, and Directions for Tuning. By J. Low. 40 cents. mlt Any of the above mailed, post-paid, on receipt of price. OLIVER DITSON & CO., Publishers, 277 Washington St., Boston. Adapted to the Wants of Schools and Academies. BOOK I. A PRIMARY GEOGRAPHY On the Basis of the Object-Method of Instruction ; Illustrated with numerous Engravings and Pictorial Maps. By FORDYCE A. ALLEN, Principal of the Chester County Normal School, West Chester, Pa. Quarto, 56 pp. Printed in Oil Colors. Retail price, 40 cents. Sent for examination, post-paid, to any teacher, on receipt of 25 cents. THE CLEVELAND (0.) TESTIMONIAL: To the Board of Education of Cleveland: GENTLEMEN :- We the undersigned, teachers in the public schools of Cleveland, having examined ALLEN'S PRIMARY GEOGRAPHY on the object-method of instruction, most respectfully ask that you may introduce that work into our schools. DR. THOMAS STERLING. Principal High School. W. W. CUSHING, Principal West St. Clair Grammar School. C. F. DUTTON, Principal Hicks Street Grammar School. One of the best evidences of the approval of the work here, is found in the fact that the Board of AN INTERMEDIATE OR COMMON SCHOOL GEOGRAPHY, On the basis of the "Object-Method of Instruction, embracing Physical, Political and Mathematical Geography, and so far as expedient. Ancient and Modern History: philosophically prepared and arranged for Common Schools. By FORDYCE A. ALLEN. (In preparation.) BOOK III. SMITH'S NEW GEOGRAPHY, Containing a concise Text and Explanatory Notes. Based on a combination of the Analytical, Synthetical and Comparative Systems. With more than one hundred Maps, of Religion, Government, Civilization, Races, Countries, Roman Empire, Vicinities, Rain, Wind, Seasons, Isothermals, Solar System, etc., etc., and combining, with much new and valuable matter, many features not found in any other work of its class. By ROSWELL C. SMITH, A. M. Retail price, $1.00. Sent to teachers for examination on receipt of 50 cents. A COMPLETE PRONOUNGING GAZETTEER, Or Geographical Dictionary of the World; a Teacher's and Pupil's Reference book, containing a notice and the Pronunciation of the names of nearly one hundred thousand places, with the most authentic information respecting the Countries, Cities, Towns, Mountains, Islands, Rivers, etc., in every portion of the Globe; and a complete Etymological Vocabulary of Geographical Names. By J. THOMAS, M. D., and T. BALDWIN. Price, $6.00. The Gazetteer, being the basis of the other books of the series, and an invaluable aid to the teacher, will be furnished, for the use of teachers and schools in connection with the Geographies, at a very low price. PUBLISHED BY J. B. Lippincott & Co., Philadelphia. FROM DR. LOWELL MASON. "Mason & Hamlin's School-Harmoniums are the very thing needed for school purposes. Most valuable are they to train the ear to tone-relations and to pitch, and also to sustain the chorus of song. They are to music in school much as is a dictionary to language, or a map to geography, or a blackboard to everything. Surely no school-roon can be completely furnished without one. LOWELL MASON." "ORANGE, N. J., September, 1862." A NEW MUSICAL INSTRUMENT, FOR PUBLIC AND PRIVATE SCHOOLS, Sabbath Schools, Village Churches, Parlors and Vestries. MASON & HAMLIN. VALUABLE IMPROVEMENTS. MASON & HAMLIN'S HARMONIUMS CONTAINING THE NEW AUTOMATIC SWELL, KNEE TOP, &c., are now considered greatly superior to Melodeons, both for Churches and Parlors. The $80 Harmonium has more power of tone than any $150 Melodeon. They combine sweetness, power, durability, cheapness. Prices: $60, $75, $80, $100, $125, $200, $250. $300, and $400. Send for a circular to MASON & HAMLIN, Boston. Mass., or MASON BROTHERS, Agents, New York City. MASON & HAMLIN are Agents for and keep constantly on hand all the School Book and other Publications OF MASON BROTHERS, NEW YORK, which they supply to the trade, or for introduction into schools, at the publishers' lowest prices. Among others, the following Standard School Text-Books may be specified: Webster's Primary Dictionary, Webster's Common School Dictionary, Webster's High School Dictionary, Webster's Academic Dictionary, Webster's Counting House Dic- Webster's Pocket Dictionary, Pinney and Arnoult's French F. S. Williams's English into Pinney's Easy Lessons in Pinney's First Book in French, Pinney's Progressive French Pinney and Barculo's Spanish Mattison's High School As COMMERCIAL COLLEGE, 81 Westminster Street, Providence, R. I. A. G. SCHOFIELD, PRINCIPAL. FOUNDED BY A. G. S., A. D. 1346, Writing, Book-Keeping, Commercial Law, Common and Higher NAVIGATION, MECHANICAL AND PERSPECTIVE DRAWING. NO-CLASS SYSTEM,-SPECIAL INSTRUCTION AND PRIVATE RECITATIONS. In the Book-Keeping Department NO TEXT-BOOKS ARE USED in prosecuting the study of the science of Book-Keeping, while the plan adopted renders the instruction most thorough and practical. Students may enter for instruction at any time. Circulars and Catalogues containing particulars may be had by application through the Post-Office, or by application at the College. mhtf |