## A Treatise on Surveying, Containing the Theory and Practice: To which is Prefixed a Perspicuous System of Plane Trigonometry. The Whole Clearly Demonstrated and Illustrated by a Large Number of Appropriate Examples, Particularly Adapted to the Use of Schools |

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### Common terms and phrases

ABCD acres adjacent adjacent angles axis bearings and distances centre changed bearing Co-secant Secant Co-sine Co-tang column compass decimal degrees Demonstration diff difference of latitude difference of level dist divide division line draw equal EXAMPLES feet find the angles find the area fourth term given angle given area given side Given the bearings half height Hence horizontal hypothenuse instrument last problem latitude and departure length line FE line of collimation line of level logarithm measured meridian multiplier natural number off-sets parallel parallelogram parture perches perpendicular pole star prob quired quotient radius ratio Required the area right angles right line right-angled triangle rule screws semiperimeter side AC sine square root stake station stationary lines subtract survey take the difference Tangent theodolite tract of land trapezium triangle ABC trigonometry upper telescope vane vernier plate

### Popular passages

Page 36 - 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 27 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...

Page 71 - 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 17 - A plane rectilineal angle is the inclination of two straight lines to one another, which meet together, but are not in the same straight line.

Page 20 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.

Page 28 - 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 112 - PROBLEM I. To find the area of a parallelogram ; whether it be a square, a rectangle, a rhombus, or a rhomboid**. RULE.* Multiply the length by the perpendicular height, and the product will be the area.

Page 18 - Parallel straight lines are such as are in the same plane, and which, being produced ever so far both ways, do not meet.

Page 119 - 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.

Page 54 - To find a side. Call any one of the sides radius, and write upon it the word