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 6-10 de 21
Página 66
... root of the remainder will be the leg required . * Or by logarithms thus , To the logarithm of the sum of the hypothenuse and given side , add the logarithm of their difference ; half this sum will be the logarithm of the leg required ...
... root of the remainder will be the leg required . * Or by logarithms thus , To the logarithm of the sum of the hypothenuse and given side , add the logarithm of their difference ; half this sum will be the logarithm of the leg required ...
Página 67
... root of the sum will be the hypothenuse . * Or by logarithms thus , From twice the logarithm of the perpendicular , sub- tract the logarithm of the base , and add the corresponding natural number to the base ; then , half the sum of the ...
... root of the sum will be the hypothenuse . * Or by logarithms thus , From twice the logarithm of the perpendicular , sub- tract the logarithm of the base , and add the corresponding natural number to the base ; then , half the sum of the ...
Página 92
... a triangle , when the three sides are given . RULE . From half the sum of the three sides subtract each mainders continually together , and the square root of the side severally ; multiply the half sum and the three re- 92 MEASURING LAND .
... a triangle , when the three sides are given . RULE . From half the sum of the three sides subtract each mainders continually together , and the square root of the side severally ; multiply the half sum and the three re- 92 MEASURING LAND .
Página 93
... root of the last product will be the area . * * DEMONSTRATION . Let ABC , Fig . 69 , be the triangle . Bisect two of the angles , BAC , ABC , by the straight lines AG , BG , meet- ing in G ; let fall on the three sides of the triangle ...
... root of the last product will be the area . * * DEMONSTRATION . Let ABC , Fig . 69 , be the triangle . Bisect two of the angles , BAC , ABC , by the straight lines AG , BG , meet- ing in G ; let fall on the three sides of the triangle ...
Página 103
... root of the quotient will be the diameter . * If two pins be set upright in a plane , and a thread , the length of which is greater than twice the distance between the pins , having the ends tied together be put about the pins ; and if ...
... root of the quotient will be the diameter . * If two pins be set upright in a plane , and a thread , the length of which is greater than twice the distance between the pins , having the ends tied together be put about the pins ; and if ...
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