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GEOMETRY AND TRIGONOMETRY:

WITH A

TREATISE ON SURVEYING,

IN WHICH THE PRINCIPLES OF

RECTANGULAR SURVEYING,

WITHOUT PLOTTING,

ARE EXPLAINED.

BY ABEL FLINT, A.M.

STEREOTYPE EDITION, ENLARGED,

WITH ADDITIONAL TABLES.

BY GEORGE GILLET,

SURVEYOR GENERAL OF CONNECTIOUT.

HARTFORD:

BELKNAP AND HAMERSLEY.

ENTERED, according to the Act of Congress, in the year 1835, by

EDWARD P. COOKE,
in the Clerk's Office of the District Court of

CONNECTICUT.

Stereotyped by
Francis F. Ripley.

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The original compiler of the following work designed, in preparing it, to furnish a plain and concise system of PRACTICAL SURVEYING.

That he did not fail of success, has been 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.

In the present edition, practical matter has been added by GEORGE GILLET, Esq., Surveyor General of the state of Connecticut ; and in addition to all the tables of the best treatises extant, it contains the only table of Natural Tangents ever published in this country.

In the table of logarithms, and of logarithmic sines, &c., the decimals are carried to six figures, and a column of differences is added, for the purpose of finding intermediate numbers. The use of these tables is so familiarly explained and illustrated by examples, that no other instruction upon this subject is necessary.

The articles on distributing estates, locating and surveying roads, and on levelling, cannot fail of being highly useful to the practical surveyor.

The work being now used extensively in schools and academies, it has been the chief object of the publishers to render it acceptable as a text book.

The subscribers have examined, in manuscript, the additions to the seventh edition of Flint's SURVEYING, by George GILLET, Esq., Surveyor General of Connecticut, and find them to embrace a system of correct, useful, and practical matter, judiciously arranged, and clearly explained to the understanding of the learner. Having long acted as Surveyors under public authority, we recommend this work, as containing all the elementary science, and requisite tables, necessary or convenient for the learner and the practitioner. The present is a more full and complete system than any former edition.

MOSES WÅRREN, Dep. Sur. N. London Co.
LEMUEL INGALLS, late Dep.Sur. Windham Co.
DANIEL ST. JOHN, Dep. Sur. Hartford Co.
ASAHEL DEWEY, County Sur., N. London Co.

JONATHAN NICHOLS, Dep. Sur. Windham Co. Connecticut, August, 1832.

Flint's SURVEYING has now been before the public upwards of thirty years. During this period, it has passed through numerous editions, and been enriched, from time to time, by important contributions from the present Surveyor General, George GILLET, Esq. The distinguishing feature of the work, as now published, is its excellent adaptation to the every day wants of the practical surveyor, while it supplies to academies and private students an eminently useful, clear, and well-digested system of elementary instruction, both in the theory and practice of Surveying. I know of no work, in this respect, which equals it.

É. H. BURRITT, Civil Engineer. New Britain, Con., Nov., 1835.

GEOMETRY.

GEOMETRY is a science which treats of the properties of magnitude.

PART I.

GEOMETRICAL DEFINITIONS.

1. A point is a small dot; or, mathematically considered, is that which has no parts, being of itself indivisible.

2. A line has length but no breadth.

3. A superficies or surface, called also area, has length and breadth, but no thickness.

4. A solid has length, breadth, and thickness.

5. A right line is the shortest that can be drawn between two points.

Fig. 1.

А

6. The inclination of two lines meeting one another, or the opening between them, is called an angle. Thus, at B, Fig. 1, is an angle, formed by the meeting of the lines A B and B C.

B4

Fig. 2

D

7. If a right line C D, Fig. 2, fall upon another right line A B, so as to incline to neither side, but make the angles on each side equal, then those angles are called right angles; and the line Ć D is said to be perpendicular to the other line.

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