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
Página 17
... difference be- tween the sums of the affirmative and negative ones , and prefix the sign of the greater . Note . - When the index is affirmative , it is not ne- cessary to place any sign before it ; but when it is nega- tive , the sign ...
... difference be- tween the sums of the affirmative and negative ones , and prefix the sign of the greater . Note . - When the index is affirmative , it is not ne- cessary to place any sign before it ; but when it is nega- tive , the sign ...
Página 20
... difference of the indices and prefix the sign of the greater . EXAMPLES . 1. Required the quotient of .7591 divided by 32.147 . Logarithm of .7591 .7591 is -1.88030 Do. 32.147 is 1.50714 Quotient .02361 Remain . -2.37316 In this example ...
... difference of the indices and prefix the sign of the greater . EXAMPLES . 1. Required the quotient of .7591 divided by 32.147 . Logarithm of .7591 .7591 is -1.88030 Do. 32.147 is 1.50714 Quotient .02361 Remain . -2.37316 In this example ...
Página 53
... difference . * This half difference of the two unknown angles , added to their half sum , will give the angle opposite the greater * DEMONSTRATION . Let ABC , Fig . 45 , be the proposed triangle , having the two given sides AB , AC ...
... difference . * This half difference of the two unknown angles , added to their half sum , will give the angle opposite the greater * DEMONSTRATION . Let ABC , Fig . 45 , be the proposed triangle , having the two given sides AB , AC ...
Página 54
... difference , 21 ° 17 ′ Half sum of the angles B and C - Add and subtract half their difference Angle C · 11.92916 - 9.59070 · 65 ° 54 ' 21 17 87 11 To find the side BC . As sine of B Angle B 44 37 · 54 PLANE TRIGONOMETRY .
... difference , 21 ° 17 ′ Half sum of the angles B and C - Add and subtract half their difference Angle C · 11.92916 - 9.59070 · 65 ° 54 ' 21 17 87 11 To find the side BC . As sine of B Angle B 44 37 · 54 PLANE TRIGONOMETRY .
Página 55
... difference , on the line of numbers , and apply this extent to the line of tangents from 45 ° to the left hand ; then keeping the left leg of the compasses fixed , move the other leg to 65 ° 54 ′ the half sum of the angles ; that ...
... difference , on the line of numbers , and apply this extent to the line of tangents from 45 ° to the left hand ; then keeping the left leg of the compasses fixed , move the other leg to 65 ° 54 ′ the half sum of the angles ; that ...
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