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Wentworth's Trigonometries.

THE

HE aim has been to furnish just so much of Trigonometry as is actually taught in our best schools and colleges. The principles have been unfolded with the utmost brevity consistent with simplicity and clearness, and interesting problems have been selected with a view to awaken a real love for the study. Much time and labor have been spent in devising the simplest proofs for the propositions, and in exhibiting the best methods of arranging the logarithmic work. Answers are included.

Plane and Solid Geometry, and Plane Trigonometry.

12mo. Half morocco. 490 pages. Mailing Price, $1.55; Introduction, $1.40; Allowance for old book, 40 cents.

Plane Trigonometry.

12mo. Paper. 80 pages. Mailing Price, 35 cents; Introduction, 30 cents.

Plane Trigonometry Formulas.

Two charts (30 x 40 inches each) for hanging on the walls of the classroom. Introduction Price, $1.00 per set.

Plane Trigonometry and Logarithms.

8vo. Paper. 160 pages. Mailing Price, 65 cents; Introduction, 60 cents.

Plane and Spherical Trigonometry.

12mo. Half morocco. introduction, 75 cents.

iv + 151 pages. Mailing Price, 80 cents; for

Wentworth's Plane and Spherical Trigonometry,

and Surveying.

With Tables. 8vo. Half morocco. 307 pages. Mailing Price, $1.40; Introduction, $1.25; Allowance for old book, 40 cents.

Surveying.

8vo. 80 pages. Paper. Mailing Price, 35 cents; for introduction, 30

cents.

Wentworth's Plane and Spherical Trigonometry,

Surveying, and Navigation.

12mo. Half morocco. 330 pages. Mailing Price, $1.25; Introduction, $1.12; Allowance for old book, 40 cents.

THE

HE object of the work on Surveying and Navigation is to present these subjects in a clear and intelligible way, according to the best methods in actual use; and also to present them in so small a compass, that students in general may find the time to acquire a competent knowledge of these very interesting and important studies. Answers are included.

S. J. Kirkwood, Prof. of Mathematics, University of Wooster, O.: Wentworth's Algebra, Geometry, and Trigonometry are excellent textbooks. (Dec. 15, 1883.)

Otis H. Robinson, Prof. of Mathematics, University of Rochester: I think Wentworth's Surveying an admirable introduction to the study of the subject. (May 28, 1883.)

Wentworth & Hill's Five-Place Logarithmic and Trigonometric Tables.

By G. A. WENTWORTH, A.M., and G. A. HILL, A.M.

Seven Tables (for Trigonometry and Surveying): Cloth. 8vo. 79 pages. Mailing Price, 55 cents; Introduction, 50 cents.

Complete (for Trigonometry, Surveying, and Navigation): Half morocco. Svo. 158 pages. Mailing Price, $1.10; Introduction, $1.00.

THESE
HESE Tables have been prepared mainly from Gauss's Tables,

and are designed for the use of schools and colleges. They are preceded by an introduction, in which the nature and use of logarithms are explained, and all necessary instruction given for using the tables. They are printed in large type with very open spacing. Compactness, simple arrangement, and figures large enough not to strain the eyes, are among the points in their favor.

Wentworth & Hill's Exercises in Arithmetic.

I. Exercise Manual. 12mo. Boards: vi+ 282 pages. Mailing Price, 55 cents; for introduction, 50 cents. II. Examination Manual. 12mo. Boards. 148 pages. Mailing Price, 40 cents; Introduction Price, 35 cents. Both in one volume, 80 cents. Answers to both parts together, 10 cents.

THE

HIE first part (Exercise Manual) contains 3869 examples and problems for daily practice, classified and arranged in the common order; and the second part (Examination Manual) contains 300 examination-papers, progressive in character.

Wentworth & Hill's Exercises in Algebra.

I. Exercise Manual. 12mo. Boards. 232 pages. Mailing Price, 40 cents; Introduction Price, 35 cents. II. Examination Manual. 12mo. Boards. 159 pages. Mailing Price, 40 cents; Introduction Price, 35 cents. Both in one volume, 70 cents. Answers to both parts together, 25 cents.

THE

HE first part (Exercise Manual) contains about 4500 problems classified and arranged according to the usual order of textbooks in Algebra; and the second part (Examination Manual) contains nearly 300 examination-papers, progressive in charac、 ter, and well adapted to cultivate skill and rapidity in solving problems.

British Mail: All engaged in the much precious time and labor, and practical work of education will to give his students the benefit of appreciate these Manuals, as they progressive and carefully thoughtare calculated to save the master out exercises.

Wentworth & Hill's Exercises in Geometry.

12mo. Cloth. 255 pages. Mailing Price, 80 cents; Introduction Price, 70 cents.

THE

HE exercises consist of a great number of easy problems for beginners, and enough harder ones for more advanced pupils. The problems of each section are carefully graded, and some of the more difficult sections can be omitted without destroying the unity of the work. The book can be used in connection with any textbook on Geometry as soon as the geometrical processes of reasoning are well understood.

Amelia W. Platter, High School, | select propositions from it to supple Indianapolis, Ind.: I find the sub- ment every stage of our work. ject so carefully graded, that I can

Analytic Geometry.

xii +

By G. A. WENTWORTH. Revised edition. 12mo. Half morocco. 301 pages. Mailing Price, $1.35; for introduction, $1.25; allowance in exchange, 30 cents.

THE aim of this work is to present the elementary parts of the subject in the best form for class-room use.

The connection between a locus and its equation is made perfectly clear in the opening chapter.

The exercises are well graded and designed to secure the best mental training.

By adding a supplement to each chapter provision is made for a shorter or more extended course, as the time given to the subject will permit.

The book is divided into chapters as follows:

PART I. Plane Geometry. I. Loci and their Equations; II. The Straight Line; III. The Circle; IV. Different Systems of Co-ordinates; V. The Parabola; VI. The Ellipse; VII. The Hyperbola; VIII. Loci of the Second Order; IX. Higher Plane Curves. PART II. Solid Geometry. I. The Point; II. The Plane; III. The Straight Line; IV. Surfaces of Revolution.

Dascom Greene, Prof. of Mathe- rangement for which the author's matics and Astronomy, Rensselaer other works are noted, and believe Polytechnic Institute, Troy, N.Y.: it to be especially adapted for adIt appears to be admirably adapted vanced pupils, in high schools and to the use of beginners, and is espe- academies, who wish to know some ́cially rich in examples for practical thing of the mysteries of loci and application of the principles of each conic sections, and who have only a chapter. The full and clear explana- limited time for the work. tion of first principles given in the (Nov. 12, 1886.) opening chapter is a new and highly commendable feature of the work. (Nov. 11, 1886.)

Geo. D. Olds, Prof. of Mathematics, University of Rochester, N.Y.: It is a most admirable little book. The author falls into line with what I believe to be the best modern tendency in text-books, - the avoidance of bulk and complexity. (Nov. 11, 1886.)

J. L. Patterson, Teacher of Mathematics, Lawrenceville School, N.J.: I do not know of any text-book for beginners in this subject which can compare with it for class-room use.

E. A. Paul, Prin. of High School, Washington, D.C.: I think it is to be commended for the same clearness of statement and simplicity of ar

Jos. J. Hardy, Prof. of Mathematics, Lafayette College, Easton, Pa. The professor's experience has taught him what are the points which the boys find obscure, and he has generally been successful in devising a good way of elucidating these points. . . . Teachers will find it a

very helpful manual.
(Jan. 4, 1887.)

E. Miller, Prof. of Mathematics, University of Kansas, Lawrence : As a book for beginners, it is admirable in all its arrangements and features. The great number of problems scattered through it will largely relieve it of that abstract analysis which is so often a terror to students. The book is, like the other works of Professor Wentworth, a good thing. (Nov. 18, 1886.)

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A Treatise on Plane Surveying.

By DANIEL CARHART, C.E., Professor of Civil Engineering in the Western University of Pennsylvania, Allegheny. Illustrated. 8vo. Half leather. xvii +498 pages. Mailing Price, $2.00; for introduction, $1.80.

THIS work covers the whole ground of Plane Surveying. It illustrates and describes the instruments employed, their adjustments and uses; it exemplifies the best methods of solving the ordinary problems occurring in practice, and furnishes solutions for many special cases which not infrequently present themselves. It is the result of twenty years' experience in the field and technical schools, and the aim has been to make it extremely practical, having in mind always that to become a reliable surveyor the student needs frequently to manipulate the various surveying instruments in the field, to solve many examples in the class-room, and to exercise good judgment in all these operations. Not only, therefore, are the different methods of surveying treated, and directions for using the instruments given, but these are supplemented by various field exercises to be performed, by numerous examples to be wrought, and by many queries to be answered.

Chapter I. Chain Surveying.

II. Compass and Transit Surveying.

III. Declination of the Needle.

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VI. Government Surveying.

VII. City Surveying. Including the Principles of Levelling. “VIII. Mine Surveying. Including the Elements of Topography.

The following Tables have been added: Logarithms of numbers; Approximate equation of time; Logarithms of trigonometric functions; For determining with greater accuracy than the preceding; Lengths of degrees of latitude and longitude; Miscellaneous formulas, and equivalents of metres, chains, and feet; Traverse; Natural sines and cosines; Natural tangents and cotangents.

The judicial functions of surveyors, as given by Chief Justice Cooley, are set forth in an appendix.

The work is published just as this Catalogue goes to press, so that full notices cannot be given. Send for the special circular.

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