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GEOGRAPHY.

THE

NATIONAL GEOGRAPHICAL SYSTEM.

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I. Monteith's First Lessons in Geography, $ 35 II. Monteith's Introduction to the Manual, 65 III. Monteith's New Manual of Geography, 1 00 IV. Monteith's Physical & Intermediate Geog. 1 75 V. McNally's System of Geography,

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The only complete course of geographical instruction. Its circulation is almost universal-its merits patent. A few of the elements of its popularity are found in the following points of excellence.

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1. PRACTICAL OBJECT TEACHING. The infant scholar is first introduced to a picture whence he may derive notions of the shape of the earth, the phenomena of day and night, the distribution of land and water, and the great natural divisions, which mere words would fail entirely to convey to the untutored mind. Other pictures follow on the same plan, and the child's mind is called upon to grasp no idea without the aid of a pictorial illustration. Carried on to the higher books, this system culminates in No. 4, where such matters as climates, ocean currents, the winds, peculiarities of the earth's crust, clouds and rain, are pictorially explained and rendered apparent to the most obtuse. The illustrations used for this purpose belong to the Lighest grade of art.

2. CLEAR, BEAUTIFUL, AND CORRECT MAPS. In the lower numbers the maps avoid unnecessary detail, while respectively progressive, and affording the pupil new matter for acquisition each time he approaches in the constantly enlarging circle the point of coincidence with previous lessons in the more elementary books. In No. 4, the maps embrace many new and striking features. One of the most effective of these is the new plan for displaying on each map the relative sizes of countries not represented, thus obviating much confusion which has arisen from the necessity of presenting maps in the same atlas drawn on different scales. The maps of No. 5 have long been celebrated for their superior beauty and completeness. This is the only school-book in which the attempt to make a complete atlas also clear and distinct, has been successful. The map coloring throughout the series is also noticeable. Delicate and subdued tints take the place of the startling glare of inharmonious colors which too frequently in such treatises dazzle the eyes, distract the attention, and serve to overwhelm the names of towns and the natural features of the landscape.

GEOGRAPHY-Continued.

3. THE VARIETY OF MAP EXERCISE. Starting each time from a different basis, the pupil in many instances approaches the same fact no less than six times, thus indelibly impressing it upon his memory. At the same time this system is not allowed to become wearisome-the extent of exercise on each subject being graduated by its relative importance or difficulty of acquisition.

4. THE CHARACTER AND ARRANGEMENT OF THE DESCRIPTIVE TEXT. The cream of the science has been carefully culled, unimportant matter rejected, elaboration avoided, and a brief and concise manner of presentation cultivated. The orderly consideration of topics has contributed greatly to simplicity. Due attention is paid to the facts in history and astronomy which are inseparably connected with, and important to the proper understanding of geography-and such only are admitted on any terms. In a word, the National System tcaches geography as a science, pure, simple, and exhaustive.

5. ALWAYS UP TO THE TIMES. The authors of these books, editorially. speaking, never sleep. No change occurs in the boundaries of countries, or of counties, no new discovery is made, or railroad built, that is not at once noted and recorded, and the next edition of each volume carries to every school-room the new order of things.

6. SUPERIOR GRADATION. This is the only series which furnishes an available volume for every possible class in graded schools. It is not contemplated that a pupil must necessarily go through every volume in succession to attain proficiency. On the contrary, two will suffice, but three are advised; and if the course will admit, the whole series should be pursued. At all events, the books are at hand for selection, and every teacher, of every grade, can find among them one exactly suited to his class. The best combination for those who wish to abridge the course consists of Nos. 1, 3, and 5, or where children are somewhat advanced in other studies when they commence geography, Nos. 2, 3, and 5. Where but two books are admissible, Nos. 2 and 4, or Nos. 3 and 5, are recommended.

7. FORM OF THE VOLUMES AND MECHANICAL EXECUTION. The maps and text are no longer unnaturally divorced in accordance with the time-honored practice of making text-books on this subject as inconvenient and expensive as possible On the contrary, all map questions are to be found on the page opposite.the map itself, and each book is complete in one volume. The mechanical execution is unrivalled Paper and printing are everything that could be desired, and the binding is-A. S. Barnes and Company's.

Ripley's Map Drawing

This system adopts the circle as its basis, abandoning the processes by triangulation, the square, parallels, and meridians, &c., which have been proved not feasible or natural in the development of this science. Success seems to indicate that the circle" has it."

National Outline Maps

For the school-room walls. In preparation,

$1 25

9

MATHEMATICS.

DAVIES' NATIONAL COURSE,

ARITHMETIC.

1. Davies' Primary Arithmetic

2. Davies' Intellectual Arithmetic

3. Davies' Elements of Written Arithmetic

4. Davies' Practical Arithmetic

Key to Practical Arithmetic

5. Davies' University Arithmetic.

Key to University Arithmetic

ALGEBRA.

I. Davies' New Elementary Algebra .
Key to Elementary Algebra

2. Davies' University Algebra

Key to University Algebra

3. Davies' Bourdon's Algebra

Key to Bourdon's Algebra

GEOMETRY.

I, Davies' Elementary Geometry and Trigonometry 2. Davies' Legendre's Geometry

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3. Davies' Analytical Geometry and Calculus 4. Davies' Descriptive Geometry

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MENSURATION.

I. Davies' Practical Mathematics and Mensuration

2. Davies' Surveying and Navigation

3. Davies' Shades, Shadows, and Perspective .

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Davies' Outlines of Mathematical Science
Davies' Logic and Utility of Mathematics
Davies & Peck's Dictionary of Mathematics

* 50

.*1 00

.*1 50

.*3 75

DAVIES' NATIONAL COURSE of MATHEMATICS.

ITS RECORD.

In claiming for this series the first place among American text-books, of whatever class, the Publishers appeal to the magnificent record which its volumes have earned during the thirty-five years of Dr. Charles Davies' mathematical labors. The unremitting exertions of a life-time have placed the modern series on the same proud eminence among competitors that each of its predecessors has successively enjoyed in a course of constantly improved editions, now rounded to their perfect fruition-for it seems indeed that this science is susceptible of no further demonstration.

During the period alluded to, many authors and editors in this department have started into public notice, and by borrowing ideas and processes original with Dr. Davies, have enjoyed a brief popularity, but are now almost unknown. Many of the series of to-day, built upon a similar basis, and described as "modern books," are destined to a similar fate; while the most far-seeing eye will find it difficult to fix the time, on the basis of any data afforded by their past history, when these books will cease to increase and prosper, and fix a still firmer hold on the affection of every educated American.

One cause of this unparalleled popularity is found in the fact that the enterprise of the author did not cease with the original completion of his books. Always a practical teacher, he has incorporated in his text-books from time to time the advantages of every improvement in methods of teaching, and every advance in science. During all the years in which he has been laboring, he constantly submitted his own theories and those of others to the practical test of the class-room-approving, rejecting, or modifying them as the experience thus obtained might suggest. In this way he has been able to produce an almost perfect series of class-books, in which every depart. ment of mathematics has received minute and exhaustive attention.

Nor has he yet retired from the field. Still in the prime of life, and enjoying a ripe experience which no other living mathematician or teacher can emulate, his pen is ever ready to carry on the good work, as the progress of science may demand. Witness his recent exposition of the "Metric System," which received the official endorsement of Congress, by its Committee on Uniform Weights and Measures.

DAVIES' SYSTEM IS THE ACKNOWLEDGED NATIONAL STANDARD FOR THE UNITED STATES, for the following reasons:

1st. It is the basis of instruction in the great national schools at West Point and Annapolis.

2d. It has received the quasi endorsement of the National Congress.

3d. It is exclusively used in the public schools of the National Capital.

4th. The officials of the Government use it as authority in all cases involving mathematical questions.

5th. Our great soldiers and sailors commanding the national armies and navies were educated in this system. So have been a majority of eminent scientists in this country. All these refer to "Davies" as authority.

6th. A larger number of American citizens have received their education from this than from any other series.

7th. The series has a larger circulation throughout the whole country than any other, being extensively used in every State in the Union.

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MATHEMATICS-Continued.

ARITHMETICAL EXAMPLES.

Reuck's Examples in Denominate Numbers $ 50
Reuck's Examples in Arithmetic...

These volumes differ, from the ordinary arithmetic in their peculiarly
practical character. They are composed mainly of examples, and afford
the most severe and thorough discipline for the mind. While a book
which should contain a complete treatise of theory and practice would be
too cumbersome for every-day use, the insufficiency of practical examples
has been a source of complaint.

HIGHER

MATHEMATICS.

Church's Elements of Calculus

1 00

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4 50

Shadows, and Perspective.

These volumes constitute the "West Point Course" in their several

departments.

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3 00

Hackley's Trigonometry

With applications to navigation and surveying, nautical and practical geometry and geodesy, and logarithmic, trigonometrical, and nautical tables.

THE METRIC SYSTEM.

The International System of Uniform Weights and Measures must hereafter be taught in all common-schools, Professor Charles Davies is the official exponent of the system, as indicated by the following resolutions, adopted by the Committee of the House of Representatives, on a “Uniform System of Coinage, Weights, and Measures," February 2, 1867:

Resolved, That this committee has observed with gratification the efforts made by the editors and publishers of several mathematical works, designed for the use of common-schools and other institutions of learning, to introduce the Metric System of Weights and Measures, as authorized by Congress, into the system of instruction of the youth of the United States, in its various departments; and, in order to extend further the knowledge of its advantages, alike in public education and in general use by the people,

Be it further resolved, That Professor Charles Davies, LL.D., of the State of New York, be requested to confer with superintendents of public instruction, and teachers of schools, and others interested in a reform of the present incongruous system, and, by lectures and addresses, to promote its general introduction and use.

The official version of the Metric System, as prepared by Dr. Davies, may be found In the Written, Practical, and University Arithmetics of the Mathematical Series, and is also published separately, price postpaid, five cents.

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