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 7
... calculations . * In order to understand the principles of surveying , a pre- vious knowledge of Geometry is absolutely ... calculation is introduced , as being quite different from that given by Jess ; whereas it is well known to be the ...
... calculations . * In order to understand the principles of surveying , a pre- vious knowledge of Geometry is absolutely ... calculation is introduced , as being quite different from that given by Jess ; whereas it is well known to be the ...
Página 45
... another 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.
... another 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 46
... Calculation . As sine of the angle C 33 ° 21 ' - Is to sine of the angle B 114 ° 24'- So is AB 98 9.74017 - 9.95937 1.99123 11.95060 9.74017 To AC 162.3 2.21043 As sine of C 33 ° 21 ' 9.74017 Is to sine of A 32o 15 ' 9.72723 So is AB 98 ...
... Calculation . As sine of the angle C 33 ° 21 ' - Is to sine of the angle B 114 ° 24'- So is AB 98 9.74017 - 9.95937 1.99123 11.95060 9.74017 To AC 162.3 2.21043 As sine of C 33 ° 21 ' 9.74017 Is to sine of A 32o 15 ' 9.72723 So is AB 98 ...
Página 47
... Calculation . As sine of B 90 ° Is to sine of A 53 ° 8 ' · 10.00000 9.90311 So is AC 480 2.68124 12.58435 To BC 384 2.58435 As sine of B 90 ° 10.00000 Is to sine of C 36 ° 52 ' 9.77812 So is AC 480 2.68124 12.45936 + By Gunter's Scale ...
... Calculation . As sine of B 90 ° Is to sine of A 53 ° 8 ' · 10.00000 9.90311 So is AC 480 2.68124 12.58435 To BC 384 2.58435 As sine of B 90 ° 10.00000 Is to sine of C 36 ° 52 ' 9.77812 So is AC 480 2.68124 12.45936 + By Gunter's Scale ...
Página 50
... Calculation . As AB , .98 -1.99123 Is to BC , .7912 · 1.89829 So is sine of C , 63 ° 21 ′ 9.74017 9.63846 To sine of A , 26 ° 21 ' 9.64723 To the angle C = 33 ° 21 ' add the angle A = 26 ° 21 ' , and the sum is 59 ° 42 ′ which ...
... Calculation . As AB , .98 -1.99123 Is to BC , .7912 · 1.89829 So is sine of C , 63 ° 21 ′ 9.74017 9.63846 To sine of A , 26 ° 21 ' 9.64723 To the angle C = 33 ° 21 ' add the angle A = 26 ° 21 ' , and the sum is 59 ° 42 ′ which ...
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