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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acres adjustment angle base bearings and distances Calculation called centre chains changed Co-secant Co-sine Co-tang column compass Construction contained corner correction corresponding decimal DEMONSTRATION departure describe diff difference difference of latitude direction dist divide division line draw east equal EXAMPLES feet field figure give given greater ground half hand height Hence horizontal indicated join length less logarithm manner measured meeting meridian middle multiplier Note object observed obtained opposite parallel passing perches perpendicular plate position PROBLEM radius ratio remainder right angles right line RULE running screws Secant side Sine square stake stand station straight subtract surface survey taken Tangent telescope tract of land triangle triangle ABC vernier
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 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.