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PLANE TRIGONOMETRY 93237 .

ADAPTEN TO THE METHOD OF INSTRUCTION IN

THE AMERICAN COLLEGES.

BY JEREMIAH DAY, D.D. LL.D.

President of Yale College.

THE SECOND EDITION,

WITH ADDITIONS AND ALTERATIONS.

NEW HAVEN:

PUBLISHED BY HOWE & SPALDING

S. CONVERSE, Printer.

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BY JEREMIAH DAY, D.D. LL.D.

President of Yale College.

THE SECOND EDITION,

WITH ADDITIONS AND ALTERATIONS.

NEW-HAVEN:
PUBLISHED BY HOWE & SPALDING.

S. CONVERSE, Printer.

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,

DISTRICT OF CONNECTICUT, $s.

BE IT REMEMBERED, That on the twenty.ninth day of July, in the forty-ninth year of the Independence of the Unihath deposited in this Oifice the title of a Book, the right

whereof he claims as Author, in the words followingto wit:

“ A treatise of Plane Trigonometry; to which is prefixed a summary "view of the nature and use of Logarithms : being the second part of a « course of Mathematics, adapted to the method of instruction in the Ameri. "can Colleges. By Jeremiah Day, D.D. LL.D., President of Yale College. « The second edition, with additions and alterations."

In conformity to the Act of ine Congress of the United States, entitled “ An
Act for the encouragement of learning, by securing the copies of Maps,
Charts, and Books, to the Autors and Proprietors of such copies, during the
times therein mentioned."

CHAS. A. INGERSOLL, Clerk of the District of Connecticut.
A true copy of Record, examined and sealed by me,

CHAS. A. INGERSOLL, Clerk of the District of Conneclicut.

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THE plan upon which this work was originally commen

ced, is continued in this second part of the course. As the single object is to provide for a class in college, such matter as is not embraced by this design is excluded. The mode of treating the subjects, for the reasons mentioned in the preface to Algebra, is, in a considerable degree, diffuse. It was thought better to err on this extreme, than on the other, especially in the early part of the course.

The section on right angled triangles will probably be considered as needlessly minute. The solutions might, in all cases, be effected by the theorems which are given for oblique angled triangles. But the applications of rectangular trigonometry are so numerous, in navigation, surveying, astronomy, &c. that it was deemed important, to render familiar the various methods of stating the relations of the sides and angles; and especially to bring distinctly into view the principle on which most trigonometrical calculations are founded, the proportion between the parts of the given triangle, and a similar one formed from the sines, tangents, &c. in the tables.

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