## 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 angles ABC base bearings and distances Calculation centre changed bearing Co-secant Secant Co-sine Co-tang column compass corresponding decimal DEMONSTRATION diff difference of latitude dist divide division line draw east equal EXAMPLES feet figures find the angle find the area fourth term given angle given area given bearing given number given side Given the bearings hypothenuse John Gummere LatDegDegDegDeg Distance latitude and departure left hand length line FE logarithm measured meridian multiplier natural number off-sets parallelogram perches perpendicular place of beginning pole star prob quotient radius rectangle Required the area right line right-angled triangle ROBERT ADRAIN RULE side AC Sine square root station stationary lines subtract take the difference tance Tangent tract of land trapezium Treatise on Surveying triangle ABC trigonometry two-pole chains вс

### Popular passages

Page 21 - 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 30 - 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 61 - 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 13 - 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 14 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.

Page 22 - 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 12 - Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet.

Page 109 - Sides are given. 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.. fin half sum of the three sides.

Page 13 - 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 108 - 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.