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 and Sharpless, no. 93, Market Street, and John Richardson, no. 244, Market Street., 1820 - 206 páginas |
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Página 69
... station and the object . Calculation . The sum of the angles CAB and CBA is 123 ° 37 ' , which subtracted from 180 ° leaves the angle ACB = 56 ° 23 ' . Then by Case 1 ; S. ACB : S. CBA :: AB : AC 56 ° 23 ' 49 ° 23 ' * 500 455.8 and S ...
... station and the object . Calculation . The sum of the angles CAB and CBA is 123 ° 37 ' , which subtracted from 180 ° leaves the angle ACB = 56 ° 23 ' . Then by Case 1 ; S. ACB : S. CBA :: AB : AC 56 ° 23 ' 49 ° 23 ' * 500 455.8 and S ...
Página 71
... station D , in a straight line with the objects A and C , being nearer the former , and found the angle ADB = 17 ° 47 ' . Required my distance from each of the objects . Construction . With the three given distances , describe the ...
... station D , in a straight line with the objects A and C , being nearer the former , and found the angle ADB = 17 ° 47 ' . Required my distance from each of the objects . Construction . With the three given distances , describe the ...
Página 75
... station D which appeared to be on a level with the bottom of the tree , I took the angle of elevation BDC = 51 ° 30 ' ; I then measured DA = 75 feet in a direct line from the tree , and at A , took the angle of elevation BAC26 ° 30 ...
... station D which appeared to be on a level with the bottom of the tree , I took the angle of elevation BDC = 51 ° 30 ' ; I then measured DA = 75 feet in a direct line from the tree , and at A , took the angle of elevation BAC26 ° 30 ...
Página 79
... station . Ans . 135.9 yards from one , and 154.2 from the other . 3. Wishing to know the distance between two trees C and D , standing in a bog , I measured a base line AB = 339 feet ; at A the angle BAD was 100 ° and BAC 36 ° 30 ' ; at ...
... station . Ans . 135.9 yards from one , and 154.2 from the other . 3. Wishing to know the distance between two trees C and D , standing in a bog , I measured a base line AB = 339 feet ; at A the angle BAD was 100 ° and BAC 36 ° 30 ' ; at ...
Página 91
... station the other ad- jacent side bears N. 78 ° 30 E. distance 13.84 chains : required the area . Ans . 11A . 2R . 11P . 4. Required the area of a triangular piece of ground , one side of which bears N. 82o 30'W . dist . 19.74 chains ...
... station the other ad- jacent side bears N. 78 ° 30 E. distance 13.84 chains : required the area . Ans . 11A . 2R . 11P . 4. Required the area of a triangular piece of ground , one side of which bears N. 82o 30'W . dist . 19.74 chains ...
Términos y frases comunes
ABCD ABFD acres adjacent adjacent angles angle ABC angle opposite angled triangle base bearing and distance breadth Calculation centre Co-secant Secant Co-sine Co-tang column cube root decimal DEMONSTRATION departure corresponding diff difference of latitude Dist divide division line draw equal EXAMPLES feet figures find the angle find the area four-pole chains fourth term given angle given area given bearing given number given ratio given side John Gummere Lat Dep latitude and departure length logarithm M.
M. Sine measured meridian distance natural number off-sets parallel parallelogram perches perpendicular quired quotient radius rectangle remainder Required the area right angle right line right-angled triangle RULE semiperimeter side AB side AC square root station stationary line subtract survey tance Tang tangent tract of land trapezium trapezoid triangle ABC trigonometry