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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Page 99
... difference of latitude and the departure are given . As diff . lat . departure :: rad . : tang . of bearing . Rad . sec . of bearing :: diff . lat . : distance . When the distance and difference of latitude are given . As Diff . lat ...
... difference of latitude and the departure are given . As diff . lat . departure :: rad . : tang . of bearing . Rad . sec . of bearing :: diff . lat . : distance . When the distance and difference of latitude are given . As Diff . lat ...
Page 100
... difference of latitude . Ans . Dist . 20.40 ch .; diff . lat . 17.20 S. 3. Given the distance of a line , running between the north and east , 44 ch . and its difference of latitude 34.43 ch .; to find the bearing and departure . Ans ...
... difference of latitude . Ans . Dist . 20.40 ch .; diff . lat . 17.20 S. 3. Given the distance of a line , running between the north and east , 44 ch . and its difference of latitude 34.43 ch .; to find the bearing and departure . Ans ...
Page 101
... difference of latitude and departure , corresponding to the given bearing and to each of those parts ; the sums of these will be the dif- ference of latitude and departure required . When the distance is expressed by chains or perches ...
... difference of latitude and departure , corresponding to the given bearing and to each of those parts ; the sums of these will be the dif- ference of latitude and departure required . When the distance is expressed by chains or perches ...
Page 102
... difference of lati- tude and departure thus found , must have the decimal point in each , removed one figure to the left hand . EXAMPLES . 1. Given the bearing of a line S. 35 ° E. , dist . 79 ch .; required the difference of latitude ...
... difference of lati- tude and departure thus found , must have the decimal point in each , removed one figure to the left hand . EXAMPLES . 1. Given the bearing of a line S. 35 ° E. , dist . 79 ch .; required the difference of latitude ...
Page 103
... difference of latitude and de- parture . Ans . Diff . lat . 11.72 N. , and dep . 9.67 W. 6. The bearing and distance of a line are N. 46 ° E. , 27.25 ch .; required its difference of latitude and de- parture . Ans . Diff . lat . 18.93 N ...
... difference of latitude and de- parture . Ans . Diff . lat . 11.72 N. , and dep . 9.67 W. 6. The bearing and distance of a line are N. 46 ° E. , 27.25 ch .; required its difference of latitude and de- parture . Ans . Diff . lat . 18.93 N ...
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Common terms and phrases
ABCD acres adjacent angles axis bearings and distances centre changed bearing Co-secant Secant Co-sine Co-tang decimal diff difference of latitude difference of level dist divide division line draw equal EXAMPLES feet figures find the angles find the area fourth term given angle given area given number given side Given the bearings half height horizontal hypothenuse instrument last problem LatDegDegDeg LatDegDegDegDeg Distance latitude and departure length line FE line of collimation line of level logarithm M.
M. Sine measured meridian multiplier natural number off-sets parallel parallelogram parture perches perpendicular pole star prob quotient radius ratio Required the area right angles right line right-angled triangle RULE screws side AC square root stake stationary lines stations straight line subtract surface of level survey Tangent theodolite tract of land trapezium triangle ABC trigonometry upper telescope vane vernier plate
Popular passages
Page 31 - 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 40 - 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 75 - 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 21 - 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 116 - PROBLEM I. To find the area of a parallelogram; whether it be a square, a rectangle, a rhombus, or a rhomboides. RULE.* Multiply the length by the perpendicular height, and the product will be the area.
Page 123 - 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 24 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Page 32 - 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 22 - Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet.
Page 14 - BY LOGARITHMS. RULE. From the logarithm of the dividend subtract the logarithm of the divisor, and the number answering to the remainder will be the quotient required.