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
Kimber & Sharpless, 1828 - 216 σελίδες
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ABCD acres adjacent angles ABC base bearings and distances centre changed bearing Co-secant Co-sine Co-tang column compass decimal Degrees DEMONSTRATION Dep Lat describe the arc difference of latitude dist divide division line draw east equal EXAMPLES find the angles find the area fourth term Ģ Ģ Ģ given angle given area given bearing given number given side Given the bearings hypothenuse Jāns John Gummere Lat Dep latitude and departure length line FE logarithm measured meridian multiplier natural number º º off-sets ºil parallelogram perches perpendicular pole star prob quired quotient radius rectangle Required the area right line right-angled triangle Secant side Ac Sine ſº square root station stationary lines subtract survey take the difference tance Tangent tract of land trapezium triangle ABC trigonometry two-pole chains
Σελίδα 33 - 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.
Σελίδα 73 - 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.
Σελίδα 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.
Σελίδα 26 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Σελίδα 34 - 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.
Σελίδα 24 - Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet.
Σελίδα 121 - 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.
Σελίδα 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.
Σελίδα 120 - 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.