## 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 SchoolsKimber & Sharpless, 1833 - 368 pages |

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### Common terms and phrases

100 Distance ABē ABCD acres adjacent adjacent angles angle opposite angles ABC base bearings and distances Calculation centre changed bearing Co-secant Secant Co-sine Co-tang column compass decimal degrees DEMONSTRATION diff difference of latitude dist divide division line draw east equal EXAMPLES feet figures find the angles find the area fourth term given angle given area given bearing given number given side Given the bearings Hence hypothenuse John Gummere latitude and departure length line FE logarithm M.
M. Sine measured meridian multiplier off-sets parallelogram parture perches perpendicular place of beginning pole star prob quired quotient radius rectangle Required the area right angle right line right-angled triangle side AC square root station stationary lines subtract take the difference Tangent tract of land trapezium triangle ABC trigonometry two-pole chains

### 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 25 - 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 52 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.

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.