Stations Ang. Chr. Lar Long, DMDDr/ica NE 2-733/4 4.194.17 %02 3.16 W 3 19/4 544 5/5/151/t. W 24 7334 = 4/1 47 125 - 337 +3675 OF SURVEYING, AND NAVIGATION, WITH DESCRIPTIONS OF THE INSTRUMENTS AND THE BY CHARLES DAVIES, LL. D., AUTHOR OF ARITHMETIC, ALGEBRA, PRACTICAL MATHEMATICS FOR PRACTICAL MEN, SPECTIVE, ANALYTICAL GEOMETRY, DIFFERENTIAL AND INTEGRAL CALCULUS. REVISED EDITION. NEW YORK: A. S. BARNES & CO., 111 & 113 WILLIAM STREET, (CORNER OF JOHN STREET.) SOLD BY BOOKSELLERS, GENERALLY, THROUGHOUT THE UNITED STATES. KE 3390 BOLLEGE LIBRARY Dabies' Course of Mathematics. Babies' Primary Arithmetic AND Table-Book-Designed for Beginners; containing the elementary tables of Addition, Subtraction, Multiplication, Division, and Denominate Numbers; with a large number of easy and prac tical questions, both mental and written. Dabies' First Lessons in Arithmetic-Combining the Oral Method with the Method of Teaching the Combinations of Figures by Sight. Babies' Entellectual Arithmetic-An Analysis of the Science of Numbers, with especial reference to Mental Training and Development. Babies' New School Arithmetic-Analytical and Practical. Rey to Babies' New School Arithmetic. Babies' Grammar of Arithmetic-An Analysis of the Language of Numbers and the Science of Figures. Dabies' New University Arithmetic--Embracing the Science of Numbers, and their Applications according to the most Improved Methods of Analysis and Cancellation. Key to Dabies' New University Arithmetic. Dabies' Elementary Algebra-Embracing the First Principles of the Science. Key to Davies' Elementary Algebra. Dabies' Elementary Geometry AND Trigonometry-With Applications in Mensuration. Babies' Practical Mathematics--With Drawing and Mensuration applied to the Mechanic Arts. Babies' University Algebra-Embracing a Logical Development of the Science, with graded examples. Bables' Bourdon's Algebra-Including Sturm's and Horner's Theorems, and practical examples. Dabics' Legendre's Geometry and Trigonometry-Revised and adapted to the course of Mathematical Instruction in the United States. Babies' Elements of Surveying AND Navigation-Containing descriptions of the Instruments and necessary Tables. Babies' Analytical Geometry-Embracing the Equations of the Point, the Straight Line, the Conic Sections, and Surfaces of the first and second order. Davies' Differential AND Entegral Calculus. Davies' Descriptive Geometry-With its application to Spherical Trigonometry, Spherical Projections, and Warped Surfaces. Babies' Shades, Shadows, aND Perspective. Babies' Logic and Utility of Mathematics-With the best methods of Instruction Explained and Illustrated. Davies' and Peck's Mathematical Dictionary and Cyclopedia of Mathematical Science-Comprising Definitions of all the terms employed n Mathematics-an Analysis of each Branch, and of the whole, as forming a single Science. ENTERED according to Act of Congress, in the year one thousand eight hundred and fifty. three, by CHARLES DAVIES, in the Clerk's Office of the District Court of the United States for the Southern District of New York. PREFACE. THE Elements of Surveying, first published in 1830, was designed as a text-book for the pupils of the Military Academy, and in its preparation little regard was had to the supposed wants of other institutions. The work, however, was received by the public with more favor than was anticipated, and soon became a leading text-book in the Colleges, the Academies, and the higher grade of Schools. For the purpose of adapting it, more fully, to the supposed wants of these institutions many changes have been made, since its first publication, and the present edition will be found to differ, in many respects, from those which have preceded. It has been the intention to begin with the very elements of the subject, and to combine those elements in the simplest manner, so as to render the higher branches of plane surveying comparatively easy. All the instruments needed for plotting have been carefully described; and the uses of those required for the measurement of angles are fully explained. The conventional signs adopted by the Topographical Bureau, which are now used by the United States Engineers in all their Charts and Maps, are given in plates 5 and 6. Should these signs be generally adopted in the country, it would give entire uniformity to all maps and delineations of the ground, and would establish a kind of language by which all the peculiarities of soil and surface |