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 |
Dentro del libro
Página 45
... as the sines of their opposite angles . * This 98 may express so many feet , or yards , & c . , and the other By Calculation . As sine of the angle C 33 sides will be of the same denomination as the given . PLANE TRIGONOMETRY . 45.
... as the sines of their opposite angles . * This 98 may express so many feet , or yards , & c . , and the other By Calculation . As sine of the angle C 33 sides will be of the same denomination as the given . PLANE TRIGONOMETRY . 45.
Página 48
... opposite one of them being given , to find the other angles and side . RULE . As the side opposite the given angle , Is to the other given side , So is the sine of the angle opposite the former , To the sine of the angle opposite the ...
... opposite one of them being given , to find the other angles and side . RULE . As the side opposite the given angle , Is to the other given side , So is the sine of the angle opposite the former , To the sine of the angle opposite the ...
Página 49
... opposite the given angle is equal to , or greater than the other given side , then the angle opposite that other given side is always acute ; but when this is not the case , that angle may be either acute or obtuse , and is consequently ...
... opposite the given angle is equal to , or greater than the other given side , then the angle opposite that other given side is always acute ; but when this is not the case , that angle may be either acute or obtuse , and is consequently ...
Página 53
... opposite the greater * DEMONSTRATION . Let ABC , Fig . 45 , be the proposed triangle , having the two given sides AB , AC , including the given angle A. About A as a centre , with AC the greater of the given sides ,, for a distance ...
... opposite the greater * DEMONSTRATION . Let ABC , Fig . 45 , be the proposed triangle , having the two given sides AB , AC , including the given angle A. About A as a centre , with AC the greater of the given sides ,, for a distance ...
Página 54
... opposite the less given side . After finding the angles , the other side may be found by Case 1 . EXAMPLES . 1. In the triangle ABC , there are given AB = 128 , AC 90 , and the angle A = 48 ° 12 ' , to find the angles B and C , and the ...
... opposite the less given side . After finding the angles , the other side may be found by Case 1 . EXAMPLES . 1. In the triangle ABC , there are given AB = 128 , AC 90 , and the angle A = 48 ° 12 ' , to find the angles B and C , and the ...
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