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
... 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 . * AC X BF ...
... 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 . * AC X BF ...
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 . 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 . Note . When ...
Página 97
... trapezium . * Calculation . The angle E = 180 ° the sum of the angles BCD , ADC23 ° 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 ; hence it is ...
... trapezium . * Calculation . The angle E = 180 ° the sum of the angles BCD , ADC23 ° 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 ; hence it is ...
Página 98
... trapezium ABCD , the angles are , A = 65o , B = 81o , 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 = 65o , B = 81o , 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 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
Información bibliográfica
| Título | 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 Schools |
| Autor | John Gummere |
| Edición | 3 |
| Editor | Kimber and Sharpless, no. 93, Market Street, and John Richardson, no. 244, Market Street., 1820 |
| Procedencia del original | Biblioteca Pública de Nueva York |
| Digitalizado | 12 Abr. 2011 |
| Largo | 206 páginas |
| Exportar cita | BiBTeX EndNote RefMan |