# Surveying and Navigation, with a Preliminary Treatise on Trigonometry and Mensuration

Van Antwerp, Braggs & Company, 1864 - Measurement - 490 pages

### Contents

 INTRODUCTION 9 Multiplication by Logarithms 18 Trigonometrical Functions 27 Table of Natural Functions 41 Right Triangles 47 Oblique Triangles 55 Application to Heights and Distances 69 Applications 108
 Dividing Land 318 Leveling 340 Surveying Railroads 351 Topographical Surveying 369 Barometric Heights 375 108 377 NAVIGATION 381 Parallel Sailing 389

 Oblique Triangles 124 Mensuration 150 Supplying Omissions 308
 Current Sailing 398 185 3

### Popular passages

Page 110 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts.
Page 258 - All the corners marked in the surveys, returned by the surveyor general, or by the surveyor of the lands south of the state of Tennessee, respectively, shall be established as the proper corners of sections, or subdivisions of sections, which they were intended to designate ; and the corners of half and quarter sections, not marked on said surveys, shall be placed as nearly as possible equidistant from those two corners which stand on the same line.
Page 22 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 34 - If two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equal.
Page 10 - The integral part of a logarithm is called the characteristic and the decimal part is called the mantissa.
Page 207 - Then carefully turn the arm half way over, until it rests upon the adjuster by the opposite faces of the rectangular blocks, and again observe the position of the sun's image. If it remains between the lines as before, the...
Page 164 - ... the diameter of a circle whose area is equal to that of the grain.
Page 19 - To Divide One Number by Another, Subtract the logarithm of the divisor from the logarithm of the dividend, and obtain the antilogarithm of the difference.
Page 22 - Divide the logarithm of the given number by the index of the root ; and the quotient will be the logarithm of the required root (Art.
Page 208 - Then remove the clamp-screw, and raise the latitude arc until the polar axis is by estimation very nearly horizontal, and if. necessary, tighten the screws on the pivots of the arc, so as to retain it in this position. Fix the vernier of the declination arc at zero, and direct the equatorial sights to some distant and well marked object, and observe the same through the compass sights.