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ELEMENTARY SERIES OF

MATHEMATICAL WORKS,

FOR THE

USE OF SCHOOLS AND ACADEMIES;

(IN COURSE OF PREPARATION ;)

By JEREMIAH DAY, LL.D., President of Yale College,
And JAMES B. THOMSON, A. M.

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The series is designed to embrace the following works :

1. ELEMENTS OF ARITHMETIC, uniting the inductive and synthetic modes of instruction; commencing with the simplest com bination of numbers, and extending to the highest departments of this science.

II. ELEMENTS OF ALGEBRA; (already published ;) being an Abridgment of Day's Algebra, adapted to the capacities of youth, and the improved modes of instruction in Schools and Academies. This work is designed as an easy and lucid transition from the study of Arithmetic to the other branches of Mathematics, comprehending all the more important practical rules and principles of the science, and is especially adapted to the purposes of a thorough academical education.

III. KEY TO THE ELEMENTS OF ALGEBRA; (already

published ;) containing a statement and solution of the more difficult problems, with many explanations, and the answers to all the examples.

IV. ELEMENTS OF GEOMETRY, on the basis of Dr. Brewster's Legendre's Geometry. (Already published.) This work contains all the important principles of elementary geometry, is accurate and rigorous in its demonstrations, and yet is so simplified and divested of abstract speculations, that this useful and interesting science is brought within the comprehension of every class of learners.

V. MENSURATION; containing the application of the principles of Geometry to the measurement of surfaces and solids.

VI. ELEMENTS OF PLANE TRIGONOMETRY AND

LOGARITHMS.

VII. ELEMENTS OF SURVEYING; adapted both to the wants of the learner and the practical surveyor.

N. B. It is the design of the authors to make each work of the above series, complete in itself, and to have it contain the greatest amount of practical instruction which the nature of their limits will admit. To this end it is a cardinal point with them, never to use one principle in the explanation of another, until it has itself been demonstrated or explained; and it is their earnest endeavor to express and illustrate all the elementary principles of mathematics, in a manner so simple and lucid, that every child of ordinary capacity, may understand and apply them. While they would avoid extending the series unnecessarily, or beyond the means of the humblest youth; it is their object, on the other hand, to have each part of the course embrace a range of subjects sufficiently extensive for a finished and thorough education, and to qualify either sex to fill any department of life, whether domestic, mercantile or literary.

New Haven, June, 1844.

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ELEMENTS OF GEOMETRY:

(Being one of the Series of Day and Thomson's Elementary Course of Mathematics for Schools and Academies.)

The subscribers have just published a new edition of LEGENDRE'S GEOMETRY; adapted to Schools and Academies,

BY JAMES B. THOMSON, A. M.

The merits of LEGENDRE'S GEOMETRY are too well known to require comment. The author is acknowledged to be the "greatest geometer" of modern Europe. Nor is it necessary to say that teachers and pupils have long felt the need of an elementary work on geometry, accurate and rigorous in its demonstrations, yet less severe and difficult than many parts of Euclid, and less extensive and cheaper than the former editions of Legendre.

While the more difficult propositions have been simplified, and the work compressed somewhat, in order to bring it within the capacity and means of every scholar, at the same time the spirit and character of the original have been faithfully preserved. It is believed that these objects have been accomplished in a skilful and most satisfactory manner, and that teachers and pupils will find the present edition, in all respects, adapted to their wants.

JUNE, 1844.

DURRIE & PECK, New Haven,
SMITH & PECK, Philadelphia.

In addition to the above, the subscribers are publishers of the following valuable School Books, viz:

EASY READER, or INTRODUCTION TO THE NATIONAL PRECEPTOR. By J. Olney, A. M., Author of a System of Geography; History of the United States, &c. THE SCHOOL READER, consisting of instructive and progressive lessons in prose and poetry, for the use of schools. By the same Author,

A HISTORY OF THE UNITED STATES, on a new plan. By the same Author.

BASCOM'S SYSTEM OF PENMANSHIP, in four parts.

LESSONS IN GREEK PARSING; being an introduction to the study of Greek. By Professor C. A. Goodrich, Yale College.

LESSONS IN LATIN PARSING; being an introduction to the study of Latin. By the same Author.

COLTON'S GREEK READER, used in the examination of Students for admission into Yale College, and adapted to Sophocles' Greek Grammar.

SALLUST'S HISTORY OF THE WAR AGAINST JUGURTHA, &c. By Professor E. A. Andrews, Author of Latin Grammer, Exercises, &c. and designed as one of the series of Andrews' Latin Books.

BERQUIN'S FIRESIDE BOOK, in French, with engravings. For the use of Schools. Edited by John Frost, A. M.

BRIDGE'S CONIC SECTIONS used as a text Book in Yale College.

IN PRESS,

THE YOUNG SPEAKER:

AN INTRODUCTION TO THE

UNITED STATES SPEAKER:

Designed to furnish Exercises in both Reading and Speaking, for Pupils between the ages of Six and Fourteen. Comprising Selections in Prose, Poetry and Dialogue, and a variety of Figures illustrating the principles of Position and Gesture :

BY JOHN E. LOVELL,

Formerly Instructor of ELOCUTION in the Mount Pleasant Classical Institution, Amherst, Mass., and author of the "U. S. SPEAKER," the "YOUNG PUPIL'S FIRST BOOK," and "YOUNG PUPIL'S SECOND BOOK" in Reading.

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