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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Results 1-5 of 18
Page 25
... middle letter shows the angular point , and the other two the lines that form the angle ; thus , CBD or DBC significs the angle formed by the lines CB and DB . 8. The magnitude of an angle depends on the inclina- D 25.
... middle letter shows the angular point , and the other two the lines that form the angle ; thus , CBD or DBC significs the angle formed by the lines CB and DB . 8. The magnitude of an angle depends on the inclina- D 25.
Page 41
... middle of the scale ; the numbers then go on 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , which stands at the right hand end of the scale . These two equal parts of the scale are similarly divided , the distances between the first 1 , and the ...
... middle of the scale ; the numbers then go on 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , which stands at the right hand end of the scale . These two equal parts of the scale are similarly divided , the distances between the first 1 , and the ...
Page 42
... middle 1 will be 100 , the second 2 , 3 , 4 , & c . will stand for 200 , 300 , 400 , & c . and the 10 at the right hand for 1000 . 3 If the first 1 be considered as of a unit , the 2 , 3 , 4 , & c . following will be fo , 1 , 1 , & c ...
... middle 1 will be 100 , the second 2 , 3 , 4 , & c . will stand for 200 , 300 , 400 , & c . and the 10 at the right hand for 1000 . 3 If the first 1 be considered as of a unit , the 2 , 3 , 4 , & c . following will be fo , 1 , 1 , & c ...
Page 119
... middle as the true boundary ; and the off - sets must be measured accordingly . When tide water is the boundary , the land is considered as extending to the line of low water mark . If the bearings of all the corners of a tract of land ...
... middle as the true boundary ; and the off - sets must be measured accordingly . When tide water is the boundary , the land is considered as extending to the line of low water mark . If the bearings of all the corners of a tract of land ...
Page 174
... middle side AB , being given , to cut off a trapezoid ABCD , con- taining a given area , by a line DC , parallel to AB . RULE . From the given bearings find the angles A and B ; add these together , and take the difference between their ...
... middle side AB , being given , to cut off a trapezoid ABCD , con- taining a given area , by a line DC , parallel to AB . RULE . From the given bearings find the angles A and B ; add these together , and take the difference between their ...
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Common terms and phrases
100 Distance AB² ABCD acres adjacent angles axis bearings and distances centre changed bearing Co-secant Secant Co-sine Co-tang compass decimal Degrees DEMONSTRATION diff difference of latitude difference of level dist divide division line draw equal EXAMPLES feet find the angles find the area fourth term given angle given area given side Given the bearings half height Hence horizontal hypothenuse instrument last problem latitude and departure length line FE line of collimation line of level logarithm measured meridian multiplier natural number off-sets parallel parallelogram parture perches perpendicular pole star prob quired quotient radius Required the area right angles right line right-angled triangle RULE screws side AC Sine square root stake station stationary lines straight line subtract survey take the difference Tangent theodolite tract of land trapezium triangle ABC trigonometry upper telescope vane vernier plate
Popular passages
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 27 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
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.
Page 54 - To find a side. Call any one of the sides radius, and write upon it the word