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 54
... tang . of half sum of angles B & C , 65 ° 54 ' 10.34938 To tang . of half their difference , 21 ° 17 ′ Half sum of the angles B and C - Add and subtract half their difference Angle C · 11.92916 - 9.59070 · 65 ° 54 ' 21 17 87 11 To find ...
... tang . of half sum of angles B & C , 65 ° 54 ' 10.34938 To tang . of half their difference , 21 ° 17 ′ Half sum of the angles B and C - Add and subtract half their difference Angle C · 11.92916 - 9.59070 · 65 ° 54 ' 21 17 87 11 To find ...
Página 69
... ° 20 ′ ; the half of which is 62 ° 10 ′ . Then by Case 3 . * The angles may be taken with a common surveyor's compass ; or BC + AC : BC AC : tang . - more accurately with an instrument called a theodolite . PLANE TRIGONOMETRY . 69.
... ° 20 ′ ; the half of which is 62 ° 10 ′ . Then by Case 3 . * The angles may be taken with a common surveyor's compass ; or BC + AC : BC AC : tang . - more accurately with an instrument called a theodolite . PLANE TRIGONOMETRY . 69.
Página 70
... tang . - CAB + CBA 2 CAB - CBA - : tang . 2 1575 105 62 ° 10 ' To and from CAB + CBA 2 7 ° 12 ' CAB - CBA = 62 ° 10 ′ , add and subtract- 2 7 ° 12 ′ and we shall have CAB = 69 ° 22 ′ , and CBA = 54 ° 58 ′ . Then , S. ABC S. ACB :: AC ...
... tang . - CAB + CBA 2 CAB - CBA - : tang . 2 1575 105 62 ° 10 ' To and from CAB + CBA 2 7 ° 12 ' CAB - CBA = 62 ° 10 ′ , add and subtract- 2 7 ° 12 ′ and we shall have CAB = 69 ° 22 ′ , and CBA = 54 ° 58 ′ . Then , S. ABC S. ACB :: AC ...
Página 129
... tang . of DCE , or bearing of CE , N. 10 ° 47 ′ E. · 9.27999 Consequently the bearing of EC is S. 10 ° 47 ' W. As rad . 10.00000 Is to sec . of DCE 10 ° 47 ′ 10.00774 So is the diff . of lat . CD = 27.92 1.44592 11.45366 To the dist ...
... tang . of DCE , or bearing of CE , N. 10 ° 47 ′ E. · 9.27999 Consequently the bearing of EC is S. 10 ° 47 ' W. As rad . 10.00000 Is to sec . of DCE 10 ° 47 ′ 10.00774 So is the diff . of lat . CD = 27.92 1.44592 11.45366 To the dist ...
Página 132
... tang . of bearing S. 60 ° 8 ' W. 10.24090 To find the distance . As rad . 10.00000 Is to sec . of bearing 60 ° 8 ′ 10.30279 So is diff . of lat . 6.11 0.78604 11.08883 To the distance 12.27 1.08883 The bearing and distance of the last ...
... tang . of bearing S. 60 ° 8 ' W. 10.24090 To find the distance . As rad . 10.00000 Is to sec . of bearing 60 ° 8 ′ 10.30279 So is diff . of lat . 6.11 0.78604 11.08883 To the distance 12.27 1.08883 The bearing and distance of the last ...
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