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 ′ 11.92916 - • 9.59070 Half sum of the angles B and C - - 65 ° 54 ' Add and subtract half their difference 21 17 Angle C - - - 87 11 To ...
... tang . of half sum of angles B & C , 65 ° 54 ′ 10.34938 To tang . of half their difference , 21 ° 17 ′ 11.92916 - • 9.59070 Half sum of the angles B and C - - 65 ° 54 ' Add and subtract half their difference 21 17 Angle C - - - 87 11 To ...
Página 70
... tang . - : tang . 2 2 1575 105 62 ° 10 ' 7 ° 12 ' САВ + СВА САВ - СВА To and from = 62 ° 10 ' , add and subtract- 2 2 7 ° 12 ′ and we shall have CAB = 69 ° 22 ′ , and CBA = 54 ° 58 ′ . Then , S. ABC : S. ACB :: AC : AB 54 ° 58 ′ 55 ° 40 ...
... tang . - : tang . 2 2 1575 105 62 ° 10 ' 7 ° 12 ' САВ + СВА САВ - СВА To and from = 62 ° 10 ' , add and subtract- 2 2 7 ° 12 ′ and we shall have CAB = 69 ° 22 ′ , and CBA = 54 ° 58 ′ . Then , S. ABC : S. ACB :: AC : AB 54 ° 58 ′ 55 ° 40 ...
Página 129
... tang . of DCE , or bearing of CE , N. 10 ° 47 ′ Ε . 9.27999 Consequently the bearing of EC is S. 10 ° 47 ′ W. As rad . Is to sec . of DCE 10 ° 47 ' So is the diff . of lat . CD = 27.92 To the dist . EC 28.42 - 10.00000 - 10.00774 ...
... tang . of DCE , or bearing of CE , N. 10 ° 47 ′ Ε . 9.27999 Consequently the bearing of EC is S. 10 ° 47 ′ W. As rad . Is to sec . of DCE 10 ° 47 ' So is the diff . of lat . CD = 27.92 To the dist . EC 28.42 - 10.00000 - 10.00774 ...
Página 132
... tang . of bearing S. 60 ° 8 ′ W. 10.24090 To find the distance . As rad . Is to sec . of bearing 60 ° 8 ' So is diff . of lat . 6.11 . - 10.00000 10.30279 0.78604 11.08883 1.08883 To the distance 12.27 The bearing and distance of the ...
... tang . of bearing S. 60 ° 8 ′ W. 10.24090 To find the distance . As rad . Is to sec . of bearing 60 ° 8 ' So is diff . of lat . 6.11 . - 10.00000 10.30279 0.78604 11.08883 1.08883 To the distance 12.27 The bearing and distance of the ...
Página 134
... tang . of the bearing of LB , S. 78 ° 49 ′ W. 10.70410 As rad . - 10.00000 Is to sec . of the bearing of LB 78 ° 49 10.71231 So is diff . of lat . do . 5. 73 0.75815 11.47046 Now , having the bearings of the lines AB , To length of LB ...
... tang . of the bearing of LB , S. 78 ° 49 ′ W. 10.70410 As rad . - 10.00000 Is to sec . of the bearing of LB 78 ° 49 10.71231 So is diff . of lat . do . 5. 73 0.75815 11.47046 Now , having the bearings of the lines AB , To length of LB ...
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