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 61
... tangent of the arc BF , or of the angle A , and the hypothenuse AC the secant of it . 2. In like manner , if the leg BC , Fig . 51 , be made radius ; then the other leg AB will represent the tangent , of the arc BG , or angle C , and ...
... tangent of the arc BF , or of the angle A , and the hypothenuse AC the secant of it . 2. In like manner , if the leg BC , Fig . 51 , be made radius ; then the other leg AB will represent the tangent , of the arc BG , or angle C , and ...
Página 62
... tangent , and AC the secant of the angle A , to the radius AB . Let AD represent the radius of the tables , and draw DE perpendicular to AD meeting AC produced in E ; then DE is the tangent , and AE the secant of the angle A , to the ...
... tangent , and AC the secant of the angle A , to the radius AB . Let AD represent the radius of the tables , and draw DE perpendicular to AD meeting AC produced in E ; then DE is the tangent , and AE the secant of the angle A , to the ...
Página 64
... tangent of A , 35 ° 16 ' 9.84952 So is AB , 208 2.31806 12.16758 To BC , 147.1 . - 2.16758 The perpendicular BC being radius . As tangent of C , 54 ° 44 ′ · - 10.15048 Is to secant of C , 54 44 10.23854 So is AB , 208 2.31806 To AC ...
... tangent of A , 35 ° 16 ' 9.84952 So is AB , 208 2.31806 12.16758 To BC , 147.1 . - 2.16758 The perpendicular BC being radius . As tangent of C , 54 ° 44 ′ · - 10.15048 Is to secant of C , 54 44 10.23854 So is AB , 208 2.31806 To AC ...
Página 65
... ° 28 ' 2.36549 2.43457 10.00000 12.43457 10.06908 As radius . - · Is to tangent of A 31 ° 28 ' · So is AB 232 · 10.00000 9.78675 2.36549 12.15224 I = 3. In a right - angled triangle , are To BC 2.15224 142 PLANE TRIGONOMETRY . 65.
... ° 28 ' 2.36549 2.43457 10.00000 12.43457 10.06908 As radius . - · Is to tangent of A 31 ° 28 ' · So is AB 232 · 10.00000 9.78675 2.36549 12.15224 I = 3. In a right - angled triangle , are To BC 2.15224 142 PLANE TRIGONOMETRY . 65.
Página 198
... tangent of the azimuth ; So is the distance between the stakes in feet , To a fourth term in feet . Lay off the number of feet contained in this fourth term from the northerly stake , and perpendicular to a line joining the two stakes ...
... tangent of the azimuth ; So is the distance between the stakes in feet , To a fourth term in feet . Lay off the number of feet contained in this fourth term from the northerly stake , and perpendicular to a line joining the two stakes ...
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