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 ′ and 500 455.8 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 ′ and 500 455.8 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 BAC = 26 ° 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 BAC = 26 ° 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. 82 ° 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. 82 ° 30′W . dist . 19.74 chains ...
Términos y frases comunes
ABCD ABFD acres adjacent adjacent angles angle ABC angle opposite angled triangle azimuth base bearing and distance breadth Calculation centre Co-secant Secant Co-sine Co-tang column decimal degrees 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 ratio given side John Gummere Lat Dep latitude and departure length logarithm measured meridian distance natural number off-sets parallel parallelogram perches perpendicular perpendicular BC quired quotient radius rectangle remainder Required the area right angle right line right-angled triangle RULE semiperimeter side AB side AC sine square root station stationary line subtract tance Tang Tangent tract of land trapezium trapezoid triangle ABC trigonometry