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 51
... Calculation . 3 As AB , 60 · 1.77815 Is to BC , 95.12 So is sine C , 33 ° 21 ' 1.97827 9.74017 11.71844 To sine of A S 60 ° 38 ' acute 2119 22 obtuse 9.94029 The sum of the angles C and A subtracted from 180 ° leaves the angle B = 86 ...
... Calculation . 3 As AB , 60 · 1.77815 Is to BC , 95.12 So is sine C , 33 ° 21 ' 1.97827 9.74017 11.71844 To sine of A S 60 ° 38 ' acute 2119 22 obtuse 9.94029 The sum of the angles C and A subtracted from 180 ° leaves the angle B = 86 ...
Página 54
... Calculation . AB 128 180 ° 0 ' AC 90 Angle A 48 12 Sum 218 Difference 38 Half sum Sum of the angles B and C 131 do . 48 65 54 2.33846 - 1.57978 As the sum of the sides AB , AC , 218 - Is to their difference , 38 - So is the tang . of ...
... Calculation . AB 128 180 ° 0 ' AC 90 Angle A 48 12 Sum 218 Difference 38 Half sum Sum of the angles B and C 131 do . 48 65 54 2.33846 - 1.57978 As the sum of the sides AB , AC , 218 - Is to their difference , 38 - So is the tang . of ...
Página 57
... required . The angles measured by a scale of chords , will be A = 32 ° 39 ' , B = 58 ° 56 ′ and C = 88 ° 25 ' . By Calculation . AC - BC 365 - 230 Sum 595 Difference - 135 H As the base AB . Is to the sum of PLANE TRIGONOMETRY . 57.
... required . The angles measured by a scale of chords , will be A = 32 ° 39 ' , B = 58 ° 56 ′ and C = 88 ° 25 ' . By Calculation . AC - BC 365 - 230 Sum 595 Difference - 135 H As the base AB . Is to the sum of PLANE TRIGONOMETRY . 57.
Página 60
... Calculation . BC 230 AC 365 Ar . Co. 7.43771 AB 426 Ar . Co. 7.37059 2 ) 1021 Half sum 510.5 log . 2.70800 Difference 280.5 log . 2.44793 2 ) 19.96423 Cos . A. 16 ° 20 ' 2 9.98211 Angle A. 32 40 Because EH is equal and parallel to BC ...
... Calculation . BC 230 AC 365 Ar . Co. 7.43771 AB 426 Ar . Co. 7.37059 2 ) 1021 Half sum 510.5 log . 2.70800 Difference 280.5 log . 2.44793 2 ) 19.96423 Cos . A. 16 ° 20 ' 2 9.98211 Angle A. 32 40 Because EH is equal and parallel to BC ...
Página 63
... Calculation . The hypothenuse AC being radius . As the sine of C , 54 ° 44 ' · Is to radius So is AB 208 9.91194 10.00000 2.31806 12.31806 To AC 254.8 2.40612 As the sine of C , 54 ° 44 ′ Is to the sine of A , 35 16 · So is AB , D To BC ...
... Calculation . The hypothenuse AC being radius . As the sine of C , 54 ° 44 ' · Is to radius So is AB 208 9.91194 10.00000 2.31806 12.31806 To AC 254.8 2.40612 As the sine of C , 54 ° 44 ′ Is to the sine of A , 35 16 · So is AB , D To BC ...
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