ANDREWS AND STODDARD'S LATIN GRAMMAR has long since been introduced into the LATIN SCHOOL OF THE CITY OF BOSTON, and into most of the other principal Classical Schools in this country. It is adopted by all the Colleges in New England, viz., HarvardD, YALE, DARTMOUTH, AMHERST, WILLIAMS, BOWDOIN, WATERVILLE, MIDDLEBURY, BURLINGTON, BROWN UNIVERSITY at Providence, WESLEYAN UNIVERSITY at Middletown, and WASHINGTON COLLEGE at Hartford; also at HAMILTON COLLEGE, New York, NEW YORK UNIVERSITY, city of New York, CINCINNATI COLLEGE and MARIETTA COLLEGE, Ohio, RANDOLPH MACON College, Virginia, MOUNT HOPE COLLEGE, near Baltimore, MARYLAND INSTITUTE OF INSTRUCTION and ST. MARY'S COLLEGE, Baltimore, and the UNIVERSITIES OF MICHIGAN and ALABAMA; and has been highly recommended by Professors Kingsley, Woolsey, Olmstead, and Gibbs, of Yale College; Professor Beck, of Harvard College; President Penney and Professor North, of Hamilton College; Professor Packard, of Bowdoin College; Professor Holland, of Washington College; Professor Fisk, of Amherst College, and by Professor Hackett, of Brown University; also by Messrs. Dillaway and Gardner, of the Boston Latin School; Rev. Lyman Colman, of the English High School, Andover; Hon. John Hall, Principal of the Ellington School, Conn.; Mr. Shaler, Principal of the Connecticut Literary Institution, at Suffield; Simeon Hart, Esq., Farmington, Conn.; Professor Cogswell, of Round Hill School, Northampton; President Shan non, of Louisiana College, and by various periodicals.

As a specimen of the communications received from the above sources, the following extracts are given :—

It gives me great pleasure to bear my testimony to the superior merits of the Latin Grammar lately edited by Professor Andrews and Mr. Stoddard. I express most cheerfully, unhesitatingly, and decidedly, my preference of this Grammar to that of Adam, which has, for so long a time, kept almost undisputed sway in our schools. - Dr. C. Beck, Professor of Latin in Harvard University.

I know of no grammar published in this country, which promises to answer so well the purposes of elementary classical instruction, and shall be glad to see it introduced into our best schools. Mr. Charles K. Dillaway, Master of the Public Latin School, Boston.

Your new Latin Grammar appears to me much better suited to the use of students than any other grammar I am acquainted with. — Professor William M. Holland, Washington College, Hartford, Conn.

I can with much pleasure say that your Grammar seems to me much better adapted to the present condition and wants of our schools than any one with which I am acquainted, and to supply that which has long been wanted -a good Latin grammar for common use. Mr. F. Gardner, one of the Masters Boston Lat. Sch. The Latin Grammar of Andrews and Stoddard is deserving, in my opinion, of the approbation which so many of our ablest teachers have bestowed upon it. It is believed that, of all the grammars at present before the public, this has greatly the advantage, in regard both to the excellence of its arrangement, and the accuracy and copiousness of its information; and it is earnestly hoped that its merits will procure for it that general favor and use to which it is entitled. H. B. Hackett, Professor of Biblical Literature in Newton Theol. Sem. The universal favor with which this Grammar is received was not unexpected. It will bear a thorough and discriminating examination. In the use of wellgefined and expressive terms, especially in the syntax, we know of no Latin or Greek grammar which is to be compared to this. Amer. Quarterly Register. The Latin Grammar of Andrews and Stoddard I consider a work of great merit. I have found in it several principles of the Latin language correctly explained which I had myself learned from a twenty years' study of that language, I but had never seen illustrated in any grammar. Andrews's First Lessons I con

sider a valuable work for beginners, and in the sphere which it is designed to occupy, I know not that I have met its equal. — Rev. James Shannon, President of College of Louisiana.

These works will furnish a series of elementary publications for the study of Latin altogether in advance of any thing which has hitherto appeared, either in this country or in England. - American Biblical Repository.

We have made Andrews and Stoddard's Latin Grammar the subject both of reference and recitation daily for several months, and I cheerfully and decidedly bear testimony to its superior excellence to any manual of the kind with which I am acquainted. Every part bears the impress of a careful compiler. The principles of syntax are happily developed in the rules, whilst those relating to the moods and tenses supply an important deficiency in our former grammars. The rules of prosody are also clearly and fully exhibited. Rev. Lyman Coleman, Principal of Burr Seminary, Manchester, Vt.

I have examined Andrews and Stoddard's Latin Grammar, and regard it as superior to any thing of the kind now in use. It is what has long been needed, and will undoubtedly be welcomed by every one interested in the philology of the Latin language. We shall hereafter use it as a text-book in this institution Mr. Wm. H. Shaler, Principal of the Connecticut Lit. Institution at Suffield. This work bears evident marks of great care and skill, and ripe and accurate scholarship in the authors. It excels most grammars in this particular, that, while by its plainness it is suited to the necessities of most beginners, by its fulness and detail it will satisfy the inquiries of the advanced scholar, and will be a suitable companion at all stages of his progress. We cordially commend it to the student and teacher. Biblical Repository.

Your Grammar is what I expected it would be an excellent book, and just the thing which was needed. We cannot hesitate a moment in laying aside the books now in use, and introducing this.— Rev. J. Penney, D. D., President of Hamilton College, New York.

Your Grammar bears throughout evidence of original and thorough investigation and sound criticism. I hope, and doubt not, it will be adopted in our schools and colleges, it being, in my apprehension, so far as simplicity is concerned, on the one hand, and philosophical views and sound scholarship on the other, far preferable to other grammars; a work at the same time highly creditable to yourselves and to our country. - Professor A. Packard, Bowdoin College, Maine.

This Grammar appears to me to be accommodated alike to the wants of the new beginner and the experienced scholar, and, as such, well fitted to supply what has long been felt to be a great desideratum in the department of classical learning. Professor S. North, Hamilton College, New York.

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From such an examination of this Grammar as I have been able to give it, I do not hesitate to pronounce it superior to any other with which I am acquainted. I have never seen, any where, a greater amount of valuable matter compressed within limits equally narrow. Hon. John Hall, Prin. of Ellington School, Conn. We have no hesitation in pronouncing this Grammar decidedly superior to any now in use. — Boston Recorder.

I am ready to express my great satisfaction with your Grammar, and do not hesitate to say, that I am better pleased with such portions of the syntax as 1 have perused, than with the corresponding portions in any other grammar with which I am acquainted.— Professor N. W. Fiske, Amherst College, Mass.

I know of no grammar in the Latin language so well adapted to answer the purpose for which it was designed as this. The book of Questions is a valuable attendant of the Grammar. Simeon Hart, Esq., Farmington, Conn.

This Grammar has received the labor of years, and is the result of much re flection and experience, and mature scholarship. As such, it claims the atten tion of all who are interested in the promotion of sound learning. N. Y. Obs. This Grammar is an original work. Its arrangement is philosophical, and its rules clear and precise, beyond those of any other grammar we have seen Portland Christian Mirror.

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ARITHMETIC,

ORAL AND WRITTEN,

PRACTICALLY APPLIED

BY MEANS OF

SUGGESTIVE QUESTIONS.

BY

THOMAS H. PALMER,

AUTHOR OF THE PRIZE ESSAY ON EDUCATION, ENTITLED THE "TEACHER'S MANUAL,"
"THE MORAL INSTRUCTOR," ETC.

Genuine education exercises deeper powers than the memory. That mind only is
truly educated, which can hang up, as it were, a subject before it, view it distinctly in
all its bearings, compare them carefully, weigh them justly, and then form a correct
decision for itself.
PROF. SHEDd.

BOSTON:

PUBLISHED BY CROCKER & BREWSTER,

NO. 47 WASHINGTON STREET.

1854.

Entered according to Act of Congress, in the year 1854, by

CROCKER & BREWSTER,

In the Clerk's Office of the District Court of the District of Massachusetts.

STEREOTYPED BY
HOBART & ROBBINS,

NEW ENGLAND TYPE AND STEREOTYPE FOUNDERY,
BOSTON.

PREFACE.

I HAD three main objects in the preparation of this Treatise, namely, 1. So to simplify the arrangement of the subject as to give a clear general view, to enable the student to grasp the science as a whole; 2. To save his time by the introduction of shorter and more rapid processes; and, 3. To develop his reasoning powers by constant practice.

I. Simplicity of arrangement. The most inattentive observer can hardly have failed to notice the present confused classification of Arithmetic. Who among the brightest of our scholars can tell us the principles on which it is arranged? can, at one view, take a clear and definite survey of the whole ground? In the present work, the science has been analyzed into a few simple principles, traced back, indeed, to one grand element, into which all others can be resolved; being, in fact, nothing more than mere abbreviations, by the omission of steps become superfluous by practice.

II. Rapid computation. The present method of calculating in our schools has been aptly characterized as an awkward mode of spelling figures by taking them singly, in place of reading them in groups. The pupil is so shackled with the multitude of words SUPPOSED to be indispensable, that his progress is necessarily slow and limping. If this work is used agreeably to the directions in p. viii. and elsewhere, these incumbrances will be almost entirely avoided from the outset, and a degree of rapidity quickly attained, which, at first sight, would hardly appear credible. This rapidity of operation, too, is much increased by a very great diminution in the number of figures employed, amounting, in many cases, to more than a half.

III. Intellectual culture. One of the principal objects in the study of the mathematics is the mental culture it affords; and undoubtedly arithmetic cannot be acquired at all without some improvement of the mind. The difference in this respect between the present work and all others is simply this: In the