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GEOMETRY AND TRIGONOMETRY,

WITH A

TREATISE ON SURVEYING;

COMPRISING VARIOUS METHODS OF TAKING THE SURVEY OF A FIELD, WITH DIRECTIONS FOR PROTRACTING

AND FINDING AREAS:

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BY WHICH AREAS MAY BE ACCURATELY CALCULATED WITH

OUT PLOTTING, ARE FULLY EXPLAINED :

WITH A COMPLETE SERIES OF

MATHEMATICAL TABLES,

AND THE NECESSARY EXPLANATIONS.

BY ABEL FLINT, A. M.

WITH IMPROVEMENTS

BY GEORGE GILLET,

SURVEYOR GENERAL OF CONNECTICUT.

SIXTH EDITION,
REVISED AND ENLARGED, BY THE ADDITION OF COPIOUS

NOTES AND ILLUSTRATIONS, AND A CONCISE

TREATISE ON LOGARITHMS,

BY FREDERIC A. P. BARNARD, A. B.
INSTRUCTOB IN MATHEMATICS IN THE HARTFORD GRAMMAR SCHOOL,

AND AUTHOR OF A TREATISE ON ARITHMETIC.

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HARTFORD:

PUBLISHED BY COOKE & CO.
FOR SALE BY THE PRINCIPAL BOOKSELLERS IN THE V. STATES.

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GEOMETRY AND TRIGONOMETRY,

WITE A

TREATISE ON SURVEYING;

COMPRISING VARIOUS METHODS OF TAKING THE SURVEY OF A FIELD, WITH DIRECTIONS FOR PROTRACTING

AND FINDING AREAS :

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BY WHICH AREAS MAY BE ACCURATELY CALCULATED WITH

OUT PLOTTING, ARE FULLY EXPLAINED :

WITH A COMPLETE SERIES OF

MATHEMATICAL TABLES,
AND THE NECESSARY EXPLANATIONS.

BY ABEL FLINT, A. M.

WITH IMPROVEMENTS
BY GEORGE GILLET,
SURVEYOR GENERAL OF CONNECTICUT.

SIXTE EDITION,
REVISED AND ENLARGED, BY THE ADDITION OF COPIOUS

NOTES AND ILLUSTRATIONS, AND A CONCISE

TREATISE ON LOGARITHMS,

BY FREDERIC A. P. BARNARD, A, B.
INSTRUCTOR IN MATHEMATICS IN THE HARTFORD GRAMMAR SCHOOL,

AND AUTHOR OF A TREATISE ON ARITHMETIC.

HARTFORD:

PUBLISHED BY COOKE & CO.
FOR SALE BY THE PRINCIPAL BOOKSELLERS IN THE 0. STATES.

1

DISTRICT OF CONNECTICUT, ss.

Be it REMEMBERED, That on the second day of August, in L. S. the fifty-fifth year of the Independence of the United States

of America, Oliver D. Cooke of the said District, hath deposited in this Office, the title of a book, the right whereof he claims as proprietor, in the words following to wit: “A system of Geometry and Trigonometry, with a Treatise on Surveying ; comprising various methods of taking the survey of a field, with directions for protracting and finding areas ; in which, also, the principles of Rectangular Surveying, by which Areas may be accurately calculated without plotting, are fully explained : with a complete series of Mathematical Tables, and the necessary explanations. By Abel Flint, A. M. With improvements by George Gillet, Surveyor General of Connecticut. Sixth edition, revised and enlarged, by the addition of copious notes and ilustrations, and a concise Treatise on Logarithms, by Frederic A. P. Barnard, A. B. instructor in Mathematics in the Hartford Grammar School, and Author of a Treatise on Arithmetic.” In conformity to the act of Congress of the United States, entitled, “ An act for the encouragement of learning, by securing the copies of Maps, Charts, and Books, to the authors and proprietors of such copies, during the times therein mentioned.” And also to the act entitled, “An act supplementary to anact, entitled, “An act for the encouragement of learning, by securing the copies of Maps, Charts, and Books, to the authors and proprietors of such copies, during the times therein mentioned,'” and extending the benefits thereof to the arts of designing, engraving, and etching historical, and other prints.

CHARLES A. ÎNGERSOLL,

Clerk of the District of Connecticut.
A true copy of record, examined and sealed by me,

CHARLES A. INGERSOLL,

Clerk of the District of Connecticut.

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ADVERTISEMENT

TO THE SIXTH EDITION.

The original compiler of the following work designed, in preparing it, to furnish a plain and concise system of PRACTICAL SURVEYING, for the use of practical men. That he did not fail of success, has been sufficiently proved, by the high estimation in which this treatise has been, and is, at the present time, held by surveyors, and by the continued and increasing demand for it, from the public.

In the present edition, the publishers have used every exertion to render it still more worthy of patronage. The valuable articles furnished to the fifth edition of the work, last published, by GEORGE GILLET, Esq., Surveyor General of the state of Connecticut, are retained in this. They will be found to contain a system of useful instructions for the practical surveyor, which cannot be elsewhere found. Additional matter has likewise been inserted in the

present edition. These additions, when entirely independent of any thing previously contained in the book, or when substituted as an improvement for something omitted or altered, are inclosed in brackets, or are inserted in the form of a note at the foot of the page. Omissions, and alterations from the original work, however, are very few, and have only been made, where they were demanded by obvious necessity.

Alterations in phraseology, will be found more numerous, and these have been made, wherever it was believed that they would either render the meaning more clear, or the language more concise. In this respect, the present edition

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