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 160
... running pa- rallel to one of the sides . RULE . As the given area of the triangle , Is to the area of the triangle to be cut off ; So is the square of the given base , The square root of which will be the base of To the square of the ...
... running pa- rallel to one of the sides . RULE . As the given area of the triangle , Is to the area of the triangle to be cut off ; So is the square of the given base , The square root of which will be the base of To the square of the ...
Página 161
... running parallel to the side BC . As the triangle ABC 500 : the triangle ADG 120 Ar . Co. 7.30103 2.07918 :: AB2 SAB 40 1.60206 AB 40 1.60206 : . AD2 2 ) 2.58433 1.29216 AD 19.6 per . 2. Given the area of a triangle ABC , 10 acres , and ...
... running parallel to the side BC . As the triangle ABC 500 : the triangle ADG 120 Ar . Co. 7.30103 2.07918 :: AB2 SAB 40 1.60206 AB 40 1.60206 : . AD2 2 ) 2.58433 1.29216 AD 19.6 per . 2. Given the area of a triangle ABC , 10 acres , and ...
Página 162
... running a given course . RULE . From the given bearings of the lines , find the angles A , B , and C ; then , As the rectangle of the sines of the angles A and B , Is to the rectangle of radius and sine of the angle C ; So is twice the ...
... running a given course . RULE . From the given bearings of the lines , find the angles A , B , and C ; then , As the rectangle of the sines of the angles A and B , Is to the rectangle of radius and sine of the angle C ; So is twice the ...
Página 163
... running N. 4 ° 00 ' W .; required the distance on the first side . Ans . 9.76 ch . PROBLEM X. The bearings of three adjacent sides , EA , AB , BF , Figs . 93 , 94 , of a tract of land , and the length of the middle side AB , being given ...
... running N. 4 ° 00 ' W .; required the distance on the first side . Ans . 9.76 ch . PROBLEM X. The bearings of three adjacent sides , EA , AB , BF , Figs . 93 , 94 , of a tract of land , and the length of the middle side AB , being given ...
Página 165
... running parallel to AB . EG , N 90 ° 00'W GE , N 90 ° 00'E FG , S 58 ° 30'W AB , N 10 00 E GF , N 58 30 E BA , S 10 00 W Ang . GAB 100 00 As sin . G 51 ° 30 ' : sin . B 48 30 :: AB 15 : GA 21.5012 · G 31 30 ABG 48 30 Ar . Co. 0.28191 ...
... running parallel to AB . EG , N 90 ° 00'W GE , N 90 ° 00'E FG , S 58 ° 30'W AB , N 10 00 E GF , N 58 30 E BA , S 10 00 W Ang . GAB 100 00 As sin . G 51 ° 30 ' : sin . B 48 30 :: AB 15 : GA 21.5012 · G 31 30 ABG 48 30 Ar . Co. 0.28191 ...
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