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
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Página 9
... areas of triangles ... area by dividing it into triangles and trapeziums , - SECT . II . Containing three different rules for finding the areas of right - lined figures generally , when the bearings and distances of the boundaries are given ...
... areas of triangles ... area by dividing it into triangles and trapeziums , - SECT . II . Containing three different rules for finding the areas of right - lined figures generally , when the bearings and distances of the boundaries are given ...
Página 88
... area of a field , in the form of a rhom- boides , whose length AB is 42.5 perches , and perpendi- cular breadth CD ... given . RULE . Multiply the base by the perpendicular height , and half the product will be the area ...
... area of a field , in the form of a rhom- boides , whose length AB is 42.5 perches , and perpendi- cular breadth CD ... given . RULE . Multiply the base by the perpendicular height , and half the product will be the area ...
Página 90
... area of a triangle when two sides and their included angle are given . As radius , RULE . Is to the sine of the included angle ; So is the rectangle of the given sides , To double the area . * EXAMPLES . 1. In a triangular lot of ground ...
... area of a triangle when two sides and their included angle are given . As radius , RULE . Is to the sine of the included angle ; So is the rectangle of the given sides , To double the area . * EXAMPLES . 1. In a triangular lot of ground ...
Página 91
... area of a triangle two sides of which measure 15.36 chains and 11.46 chains respectively , and their included angle ... given . RULE . Subtract the sum of the two given angles from 180 ° , the remainder will be the angle opposite the ...
... area of a triangle two sides of which measure 15.36 chains and 11.46 chains respectively , and their included angle ... given . RULE . Subtract the sum of the two given angles from 180 ° , the remainder will be the angle opposite the ...
Página 92
... area . Fig . 47 . The angle ACB = 180 ° and B , = 70 ° . the sum of the angles A As rad . x sin . C , rad . Ar . Co ... given . RULE . From half the sum of the three sides subtract each mainders continually together , and the square root ...
... area . Fig . 47 . The angle ACB = 180 ° and B , = 70 ° . the sum of the angles A As rad . x sin . C , rad . Ar . Co ... given . RULE . From half the sum of the three sides subtract each mainders continually together , and the square root ...
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