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
Required the distance between each 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 ...
Required the distance between each 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 ...
Página 71
apart I knew to be , AB = 3 miles , AC = 2 , and BC = 1.8 , I took a 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 ...
apart I knew to be , AB = 3 miles , AC = 2 , and BC = 1.8 , I took a 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 ...
Página 75
Wishing to know the height of a tree situated in a bog , at a 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 ...
Wishing to know the height of a tree situated in a bog , at a 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 ...
Página 79
the angle of position of the object and the other end , and found the one to be 90 ° , and the other 61 ° 45 ' ; required the distance of the object from each station . Ans . 135.9 yards from one , and 154.2 from the other . 3.
the angle of position of the object and the other end , and found the one to be 90 ° , and the other 61 ° 45 ' ; required the distance of the object from each station . Ans . 135.9 yards from one , and 154.2 from the other . 3.
Página 91
One side of a triangular field bears N. 12 ° E. distanice 18.23 chains , and at the same station the other adjacent side bears N. 78 ° 30. E. distance 13.84 chains : required the area . Ans . 11A . 2R . 11P . 4.
One side of a triangular field bears N. 12 ° E. distanice 18.23 chains , and at the same station the other adjacent side bears N. 78 ° 30. E. distance 13.84 chains : required the area . Ans . 11A . 2R . 11P . 4.
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Términos y frases comunes
ABCD according acres adjacent angle base bearing bearing and distance Calculation called centre circle Co-secant Co-sine Co-tang column Construction contained corresponding Courses decimal Deg Dist DEMONSTRATION describe difference distance divide division draw east equal EXAMPLES feet figures find the area given given angle given area given side greater half hand height hypothenuse join latitude and departure length less logarithm measured meeting meridian distance Note off-sets opposite parallel perches perpendicular preceding PROBLEM quotient radius ratio rectangle remainder Required the area right angle right line root RULE running scale Secant side side AC sine square station subtract survey taken Tang Tangent triangle ABC twice