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 94
... area of a triangular tract of land , whose three sides are 49.00 , 50.25 and 25.69 chains . 49.00 50.25 25.69 Sum ... given . RULE . Multiply the sum of the perpendiculars by the diago- nal , and half the product will be the area . * AC ...
... area of a triangular tract of land , whose three sides are 49.00 , 50.25 and 25.69 chains . 49.00 50.25 25.69 Sum ... given . RULE . Multiply the sum of the perpendiculars by the diago- nal , and half the product will be the area . * AC ...
Página 95
... given , the trapezium will be divided into two trian- gles , the area of each of which may be found by the last problem . The sum of these areas will be the area of the trapezium . EXAMPLES . 1. In a field ABCD in the form of a ...
... given , the trapezium will be divided into two trian- gles , the area of each of which may be found by the last problem . The sum of these areas will be the area of the trapezium . EXAMPLES . 1. In a field ABCD in the form of a ...
Página 96
... area ? Ans . 24A . 3R . 14P . PROBLEM VII . To find the area of a trapezium , when all the angles and two opposite sides are given . Note . When three of the angles are given the fourth may be found by subtracting their sum from 360 ...
... area ? Ans . 24A . 3R . 14P . PROBLEM VII . To find the area of a trapezium , when all the angles and two opposite sides are given . Note . When three of the angles are given the fourth may be found by subtracting their sum from 360 ...
Página 100
... given AD = 23.32 Ch . , AB = 25.70 Ch . , and BC 15.84 Ch . , the angle DAB = 64 ° and ABC = 82 ° : required the area . As rad . - Ar . Co. 0.00000 : sin . DAB , 64 ° : : AD × AB , 9.95366 SAD 23.32 AB 25.70 first quantity 538.66 As rad ...
... given AD = 23.32 Ch . , AB = 25.70 Ch . , and BC 15.84 Ch . , the angle DAB = 64 ° and ABC = 82 ° : required the area . As rad . - Ar . Co. 0.00000 : sin . DAB , 64 ° : : AD × AB , 9.95366 SAD 23.32 AB 25.70 first quantity 538.66 As rad ...
Página 101
... area ? Ans . 21A . 3R . 2P . Note . As in triangles any three parts , except the three angles , being given , the area may be found , so in trape- ziums , unless two sides are parallel , any five parts except the four angles and one ...
... area ? Ans . 21A . 3R . 2P . Note . As in triangles any three parts , except the three angles , being given , the area may be found , so in trape- ziums , unless two sides are parallel , any five parts except the four angles and one ...
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