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DESIGNED FOR
SCHOOLS, ACADEMIES AND COLLEGES.

BY CHARLES DAVIES.
PUBLISHED BY A. S. BARNES & CO.

HARTFORD.

It has lieen the intention, in this course, to unite the analytical methods of ihe French, with the prac. tical methods of the English School. These works enybrace the entire course of Mathematics ) ursued at the United States Military Academy. They have also been adopted by many of the Colleges as regular Text Books, and are likewise extensively used in Select cliools and Academies. Numerous testimonials in favor of hese works have been received from professional men, in all parts of the United States. They are respectfully recommended to the attention of Instruciers and all others interested in education.

DAVIES' MENTAL AND PRACTICAL ARITHMETIC, It is the object of this work to explain in a brief and clear manner, the properties of numbers, and the hest rules for their various applications. The subjects are arranged throughout in a natural and scientific order, each depending on those which bave gone before it. All the terms, or technical worde, are defined. In each subject the most elementary idea is first presented, generally under the form of a question, then follow illustrations or examples, and lastly the general rule.

KEY to Davies' Mental and Practical Arithmetic, for the use of Teachers only.

This work has each sum in the Arithmetic carefully and fully wrought out. It a so contains additional examples in each rule, which are not found in the Arithmetic--so that the Teacher will be enabled to excrcise bis pupils, if he wishes, by questions which are not in their books.

Davies' First Lessons in Algebra-Being an Introduction to the Science. It has been the intention, in this work, to form a connecting link between Arithmetic and Algebra, 10 nnite and blend, as far as possible, the reasoning in numbers, with the more abstruse method of Analysis. It is designed to follow the Mental and Practical Aritinetic, and to serve as an introduction to Bourdou's Algebra. This work is an abridgemeut of the work of M. Bourdon, with the ad

dition of practical Examples. 'l he i rcatise on Algebra, by Bourdon, is a work of singular excellence and merit. In France, it is one of the leading text books, and shortly after its publication bad passed through several editions. It This lieen translated, in part by Professor De Morgan, of the London University, and it is vow used in the Iniversity of Cambridge. Davies' Legendre's Geometry and Trigonometry. Being an abridgment of the work of

M. Legendre, with the addilion of a Treatise on Mensuration of Planes and Solids, and a

Table of Logarithms and Logarithmic Sines. This work has passed through several editions since its publication in 1834, and is becoming a general text book in the institutions of the country, Davies' Surveying ; with a description, and Plates of the Theodolite, Compass, Plane-Table and

Level ; also, Maps of the Topographical Signs adopted by the Engineer Department, and an

explanation of the method of Surveying the public lands. It has been the intention in this work to begin with the very elements of the subject, and to combine those elements in the simplest manner, so as to render the bigher branches of plane surveying comparatively easy. All the instruments needed for plotting have been carefully described ; and ihe uses of those repared for the measurement of angles are fully explained. Daries' analytical Geometry ;-Embracing the equations of the point and straight line, a

system of Conic Sections ;--the Equations of the line and plane in Space- also, the discus

sion of the general Equation of the Second degree, and of surfaces of the Second order. For about sixteen years the subject of Analytical Geometry has made a part of the course of Mathematics pursued at the Military Academy, and the methods which have adopted in the present work, are those which hve been taught with the greatest success.

Davies' Descriptive Geometry-With its application to Spherical Projections. The intimate connection which this subject has with civil engineering and architecture, renders its acquisition desirable lo those who devote themselves to these pursuits. Dar es' Differe is and Integral Calculus-Embracing the Rectification and Quadrature

of Curves, the Mensuration of Surfaces, and the Cubature of Solids. This branch is justly considered the most difficult of the pure Mathematics ; it has been the intention however to render the subject as plain as the nature of it would admit, but still, it cannot be mastered without patience and severe study

Davies' Shades and Shadows and Linear Perspective. The subjects treated of in this work are certainly usefu – to the Architect and Draftsman a knowledge of them is indispensable.

The above works are for sale by booksellera generally throughout the United States.

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ARTICLE

PAGE 1. EDUCATION AND EFFORTS FOR EDUCATION IN RUSIA. Increase of Russia in

territory and population-Russian Peasantry-Nobility-Literaturo-Clerose Spiritual Schools-Universities-Prof. Stowe's Report-Minister of Public Instruction-- Teachers' Salaries-M odel School for Teachers--Contributions for

Teachers, - U. PROVIDENTIAL EDOCATION. Human Schemes of Education should imitate the

Economy of Providence-Rewards and Punishments-Emulation-Variely in

the means of human culture, III. flow To PROVIDE COMMON SCHOOL TEACHERS, IV. TAE TRUE PositiON AND USE OF THE SABBATH School. Its dangers-aids

importance effects, . V. WHAT THE TEACHER OUGHT TO KNOW, *. mill . 509 vi. How JOHN' Milton READ AND PROFITED. His own account of his early studies and of their effect on him,

* *

. . . 513 VIL SPARKS THAT MAY KINDLE. No 2. The Scholar's Humility, . . . . 516

MISCELLANIES. St. James' Hall, a Religious School- Professorship of Oriental

Literature in Harvard University-Comrnon Schools in Pennsylvania- The New
Sultan-Female Seminary, Steubenville, Ohio - School Library-What our
Fathers thought,

. . . 518 Notices of Books.' Olney's Arithmetic-Davies' Arithmetic, Truth niade Sim

ple, . . .

on him.

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Lately Published, and for sale by
OTIS, BROADERS AND COMPANY,

. BOSTON, AND COLLINS, KEESE AND CO., NEW YORK ; - THOMAS COWPERTHWAIT

AND €0., PHILADELPHIA, A COMPREHENSIVE GRAMMER, Presenting some new views of the Structure of Language, &c. By W. Felci.

The purposes of the Grammar (if it has any purposes) are
First, io explain the principles of language;
Secondly, to provide for its usages, rules based on the

for its usages, rules based on these principles. What has been called Grammar, nas lallen far short of this first purpose. Of course it has failed op 16 second ;-or has greatly embarrassed the scholar by oth Onable rules, that make up in obesity, what they lack in utility and congruity.

cholar by arbitrary classifications, no meaning definitions, an exce

The above work presents, not only a pew mode of leaching, but to some extent, a new dieory of a guage. The truth of this theory seems not likely to be

kely to be disputed. And if true, the cause of education an science is deeply concerned in its promulgation.

Some of the advantages proposed by Felch's Constructive System of Grammar are as follows: 1. The classification being altogether architective the

ective, the study of Grammar and Composition are made te be one and the same process."

2. The science is so simplified, that the learner advances incomparably faster in both studies United than he could by the old method in one alone.

3. The new System is not only more simple, but much more critical.

4. It interests and satisfies the student's mind. in without the substance; or binding his energies

instead of perplexing him with the shadow of knowledge, wolp the magic chain of words and forms,

And definitions void." 5. It presents farther and clearer views of the structura

Wsol the structure of language. A sentence expresses a proposition. The words which the proposition consists.

as of which the sentence consists, express the ideas of ! The relation between the words depend, therefore, on themes

n the words depend, therefore, on the relations between the ideas.

6. It thus prepares the way to exhibit the connection hasten losopby of intellect.

onnection between the philosophy of Grammar and the phi 7. It connects Grammar more closely with Rhetoric, by showiug that several varieties of varieties of syntactic structure. '

1 Rhetoric, by showiug that several varieties of style arise from Io the “ultimate classification,” every senter verb ;” and as otherwise consisting of supplemental entence is regarded as being based on

atial novo ad

the sceral orders, exercising each a peculiur ipfiuence on the style of composition.

mental or modifying words or phrases, of which there ar

he relation

AMERICAN

ANNALS OF EDUCATION.

NOVEMBER, 1839.

Art I.- EDUCATION AND EFFORTS FOR EDUCATION IN

RUSSIA.

to mies and am basban those of who note

The movements of no nation of Europe are watched with more solicitude, by men who note the progress of public affairs, than those of Russia. England sends armies and am bassadors to arrest or stay her onward march to India ; while all the great powers of Europe are combined by formal pledges, or by the secure bond of a common interest, to withhold for a while, the Turkish Empire from her grasp.

Her stature is truly colossal. She plants one foot on the frozen ocean, and has now a sure and available resting place for the other on the Euxine, while with either arm she reaches from the Baltic far over land to the frontiers of China. Kingdoms of which we are accustomed to think with awe, shrink into littleness in the comparison. Within this circuit, embracing a latitude of thirty degrees, and a longitude of fortyfive, dwell countless tribes, hordes of rude and savage men, whose brute force, guided by one resolute scientific will, may well alarm more cultivated nations.

The history of Russia clearly shows that the fears of her huge bulk and absorbing spirit, however exaggerated, are by no means groundless. The progress of this Empire in territorial aggrandisement and in population, has been steadily onward for three hundred years, from the dato when the Russians threw off the Tartar yoke.

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