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 |
Dentro del libro
Resultados 1-5 de 11
Página 94
... trapezium , when one of the diagonals and the two perpendiculars let fall on it from the oppo- site angles , are given . RULE . Multiply the sum of the perpendiculars by the diago- nal , and half the product will be the area . * ५ AC X ...
... trapezium , when one of the diagonals and the two perpendiculars let fall on it from the oppo- site angles , are given . RULE . Multiply the sum of the perpendiculars by the diago- nal , and half the product will be the area . * ५ AC X ...
Página 95
... 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 trapezium , 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 trapezium , the ...
Página 96
... trapezium is 24Ch . and the per- pendiculars are 8.27 Ch . and 12.43 Ch .; what is the area ? Ans . 24A . 3R . 14P . PROBLEM VII . To find the area of a trapezium , when all the angles and two opposite sides are given . 1 Note . When ...
... trapezium is 24Ch . and the per- pendiculars are 8.27 Ch . and 12.43 Ch .; what is the area ? Ans . 24A . 3R . 14P . PROBLEM VII . To find the area of a trapezium , when all the angles and two opposite sides are given . 1 Note . When ...
Página 97
... trapezium . * : Calculation . The angle E = 180 ° - the sum of the angles BCD , ADC = 23 ° 20 ′ . * DEMONSTRATION . By construction FC is parallel to AD and CD to AF , therefore ( 34.1 . ) CD = AF and ( 29.1 . ) the angle ADC = EAF ...
... trapezium . * : Calculation . The angle E = 180 ° - the sum of the angles BCD , ADC = 23 ° 20 ′ . * DEMONSTRATION . By construction FC is parallel to AD and CD to AF , therefore ( 34.1 . ) CD = AF and ( 29.1 . ) the angle ADC = EAF ...
Página 98
... trapezium ABCD , the angles are , A = 65 ° , B = 81 ° , C = 120 ° , and consequently D = 94 ° ; also the side AB = 20 Ch . and CD = 11 Ch .: required the area . Ans . 22A . 2R . 27P . 3. Required the area of a four - sided piece of land ...
... trapezium ABCD , the angles are , A = 65 ° , B = 81 ° , C = 120 ° , and consequently D = 94 ° ; also the side AB = 20 Ch . and CD = 11 Ch .: required the area . Ans . 22A . 2R . 27P . 3. Required the area of a four - sided piece of land ...
Términos y frases comunes
ABCD ABFD acres adjacent adjacent angles angle ABC angle opposite angled triangle azimuth base bearing and distance breadth Calculation centre Co-secant Secant Co-sine Co-tang column decimal degrees 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 ratio given side John Gummere Lat Dep latitude and departure length logarithm measured meridian distance natural number off-sets parallel parallelogram perches perpendicular perpendicular BC quired quotient radius rectangle remainder Required the area right angle right line right-angled triangle RULE semiperimeter side AB side AC sine square root station stationary line subtract tance Tang Tangent tract of land trapezium trapezoid triangle ABC trigonometry