Elements of Surveying with a Description of the Instruments and the Necessary Tables Including a Table of Natural Sines |
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Page 7
... difference is 1 ; and that the numbers 1 , 10 , 100 , 1000 , 10000 , 100000 , & c . form a geometrical series of which the common ratio is 10 . The number 10 , is called the base of the system of logarithms ; and the indices , 0 , 1 , 2 ...
... difference is 1 ; and that the numbers 1 , 10 , 100 , 1000 , 10000 , 100000 , & c . form a geometrical series of which the common ratio is 10 . The number 10 , is called the base of the system of logarithms ; and the indices , 0 , 1 , 2 ...
Page 11
... Difference of numbers rithms . 100 = 65 difference of loga- Then , 100 65 :: 87 : 56.55 In this proportion the first term 100 is the difference be- tween two numbers , one of which is greater and the other less than the given number ...
... Difference of numbers rithms . 100 = 65 difference of loga- Then , 100 65 :: 87 : 56.55 In this proportion the first term 100 is the difference be- tween two numbers , one of which is greater and the other less than the given number ...
Page 13
... difference in the column D. Then , subtract this less logarithm from the given logarithm , and having annexed any number of ciphers to the remainder , divide it by the dif- ference taken from the column D , and annex the quotient to the ...
... difference in the column D. Then , subtract this less logarithm from the given logarithm , and having annexed any number of ciphers to the remainder , divide it by the dif- ference taken from the column D , and annex the quotient to the ...
Page 14
... difference is Tabular difference ยท 253 ) 64.00 ( 25 64 Hence the number sought , is 1712.25 , marking four places for integers since the characteristic is 3 . MULTIPLICATION BY LOGARITHMS . 14. When it is required to multiply numbers by ...
... difference is Tabular difference ยท 253 ) 64.00 ( 25 64 Hence the number sought , is 1712.25 , marking four places for integers since the characteristic is 3 . MULTIPLICATION BY LOGARITHMS . 14. When it is required to multiply numbers by ...
Page 15
... difference of the logarithms , as here used , means the algebraic difference ; so that , if the logarithm of the divisor have a negative characteristic its sign must be changed to positive , after diminishing it by the unit , if any ...
... difference of the logarithms , as here used , means the algebraic difference ; so that , if the logarithm of the divisor have a negative characteristic its sign must be changed to positive , after diminishing it by the unit , if any ...
Common terms and phrases
acres adjusted angle of elevation axis azimuth back-sights base line called centre clamp-screw coincide column comp compass Cosine D Cosine Sine Cotang course curve decimal degrees determined difference of level direction divided double meridian distance draw east elongation error example feet field notes figure given angle given line given point ground Gunter's chain half hence horizontal angle horizontal distance horizontal plane hypothenuse inches instrument intersection latitude and departure length levelling screws line AC line of collimation logarithm M.
M. Sine marked measure method multiplied natural sines needle object paper parallel passing perpendicular piece of land pins plane of reference protractor radius right angles right-angled triangle rods scale of equal secant side similar triangles spider's lines square chains staff subtract surface survey Tang tangent theodolite true meridian vernier plate vertical limb yards