# Elements of Surveying and Navigation: With Descriptions of the Instruments and the Necessary Tables

A.S. Barnes & Company, 1866 - Navigation - 393 pages
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### Contents

 Of Logarithms 9 Multiplication by Logarithms 15 Geometrical Constructions 25 Gunters Scale 32 Plane Trigonometry 38 Theorems 44 PLANE SURVEYING 64 Verniers 75
 Levelling Staves 151 Levelling for Section 157 Field Notes 166 GEODESIC TRIGONOMETRIC AND MARITIME 172 Solutior of Triangles 173 Triangulation 178 To Measure a Horizontal Angle 185 Plotting the Triangulation 192

 Surveying Cross 81 Of Laying out Land 96 Surveying with the Compass Definitions etc 102 Of Balancing the Work 109 Of Finding the Area 124 SECTION IV 131 Method of Ascertaining the Variations 140 LEVELLING AND TOPOGRAPHICAL SURVEYING 145
 SECTION I 201 Solution of RightAngled Triangles 206 SECTION III 207 SECTION V 214 Mercators Chart 221 41 12 102 95

### Popular passages

Page 22 - In a Right-angled Triangle, the side opposite the right angle is called the Hypothenuse ; and the other two sides are called the Legs, and sometimes the Base and Perpendicular.
Page 21 - ... 20. An EQUILATERAL polygon is one which has all its sides equal ; an equiangular polygon, is one which has all . its angles equal. 21. Two polygons are mutually equilateral, when they have their sides equal each to each, and placed in the same order : that is to say, when following their...
Page 45 - In any triangle, the sum of the two sides containing either angle, is to their difference, as the tangent of half the sum of the two other angles, to the tangent of half their difference.
Page 9 - THE LOGARITHM: of a number is the exponent of the power to which it is necessary to raise a fixed number, to produce the given number.
Page 138 - ... the intersection of the vertical plane passing through it and ,the place, with the surface of the earth, would be the true meridian. But, the star being at a distance from the pole, equal to 1� 30...
Page 44 - CB : CA : : sin A : sin B. For, with A as a centre, and AD equal to the less side...
Page 61 - Being on a horizontal plane, and wanting to ascertain the height of a tower standing on the top of an inaccessible hill, there were measured, the angle of elevation of the top of the hill 40�, and of the top of the tower 51� ; then measuring in a direct line 180 feet farther from the hill, the angle of elevation of the top of the tower was 33� 45' : required the height of the tower.
Page 38 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, etc.
Page 39 - The secant of an arc is the line drawn from the centre of the circle through one extremity of the arc, and limited by the tangent passing through the other extremity. Thus, . 00 is the secant of the arc AB.
Page 21 - If the lines are straight, the space they enclose is called a rectilineal figure, or polygon, and the lines themselves, taken together, form the contour, or perimeter of the polygon. 14. The polygon of three sides, the simplest of all, is called a triangle ; that of four sides, a quadrilateral; that of five, a pentagon; that of six, a hexagon; that of seven, a heptagon; that of eight, an octagon ; that of nine, a nonagon; that of ten, a decagon ; and that of twelve, a dodecagon.