# A Treatise on Surveying, Containing the Theory and Practice: to which is Prefixed a Perspicuous System of Plane Trigonometry

Thomas, Cowperthwait & Company, 1846 - Surveying - 260 pages

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### Contents

 PAOE Logarithms 9 Geometrical Definitions 25 Plane Trigonometry 35 Application of Plane Trigonometry to the Mensuration of Distances 68 Practical Questions 78 Supplying Omissions in the Dimensions of a Survey 107 Problems for finding the Content of Land 118
 Laying out and Dividing Land 163 Variation of the Compass 202 Miscellaneous Questions 213 Levelling 237 Topography 254 difference between two quantities 265

### Popular passages

Page 35 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Page 44 - The angle at the centre of a circle is double of the angle at the circumference upon the same base, that is, upon the same part of the circumference.
Page 79 - A maypole, whose top was broken off by a blast of wind, struck the ground at 15 feet distance from the foot of the pole: what was the height of the whole maypole, supposing the broken piece to measure 39 feet in length ? Ans.
Page 127 - From half the sum of the three sides, subtract each side severally; multiply the half sum, and the three remainders together, and the square root of the product will be the area required. Example. — Required the area of a triangle, whose sides are 50, 40, and 30 feet. 50 + 40+30 ; — 60, half the sum of the three sides.
Page 28 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Page 36 - Sine, or Right Sine, of an arc, is the line drawn from one extremity of the arc, perpendicular to the diameter which passes through the other extremity. Thus, BF is the sine of the arc AB, or of the supplemental arc BDE.
Page 26 - Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet.
Page 25 - A plane superficies is that in which any two points being taken, the straight line between them lies wholly in that superficies. 8. A plane angle is the inclination of two lines to one another in a plane, which meet together, but are not in the same direction.
Page 126 - If one side and the angles are given ; then As the product of radius and the sine of the angle opposite the given side, To the product of the sines of the two other angles ; So is the square of the given side, To twice the area of the triangle. If PC (Fig.
Page 62 - Call the word written upon each side the name of each side: then say, " As the name of the given side, " Is to the given side ; " So is the name of the required side,