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 14
... quired . Observing , that when the index of the given lo- garithm is affirmative , the integers in the number found must be one more than the number expressed by the in- dex ; but when the index of the given logarithm is nega tive , the ...
... quired . Observing , that when the index of the given lo- garithm is affirmative , the integers in the number found must be one more than the number expressed by the in- dex ; but when the index of the given logarithm is nega tive , the ...
Página 15
... quired natural number is 345.93 . Again let it be required to find the natural number corresponding to the logarithm 4.59859 , true to six fi- gures ; then , Given logarithm Next less - · .59859 59857 , the natural number an- swering to ...
... quired natural number is 345.93 . Again let it be required to find the natural number corresponding to the logarithm 4.59859 , true to six fi- gures ; then , Given logarithm Next less - · .59859 59857 , the natural number an- swering to ...
Página 16
... quired natural number is 39681.8 . EXAMPLES . 1. Required the natural number answering to the lo- garithm 1.88030 . Ans . 75.91 . 2. Required the natural number answering to the lo- garithm 5.37081 . Ans . 234861 . 3. Required the ...
... quired natural number is 39681.8 . EXAMPLES . 1. Required the natural number answering to the lo- garithm 1.88030 . Ans . 75.91 . 2. Required the natural number answering to the lo- garithm 5.37081 . Ans . 234861 . 3. Required the ...
Página 40
... quired . Note . The sine of an angle and of its supplement being the same , if the given number of degrees be above . 90. subtract them from 180 ° , and find the sine of the remainder . EXAMPLES . 1. Required the sine of 2. Required the ...
... quired . Note . The sine of an angle and of its supplement being the same , if the given number of degrees be above . 90. subtract them from 180 ° , and find the sine of the remainder . EXAMPLES . 1. Required the sine of 2. Required the ...
Página 48
... quired AC and AB . Ans . AC = 103.4 , and AB = 91.87 . * 4. In a right - angled triangle , there are given the an- gle A 56 ° 48 ' , and the base AB = 53.66 , to find the perpendicular BC and hypothenuse AC . Ans . BC = 82 and AC 98 ...
... quired AC and AB . Ans . AC = 103.4 , and AB = 91.87 . * 4. In a right - angled triangle , there are given the an- gle A 56 ° 48 ' , and the base AB = 53.66 , to find the perpendicular BC and hypothenuse AC . Ans . BC = 82 and AC 98 ...
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