Elements of Surveying with a Description of the Instruments and the Necessary Tables Including a Table of Natural Sines |
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Page 8
... decimal fractions thus , log 2 = 0.301030 . The logarithms of all numbers greater than 10 and less than 100 , are greater than 1 and less than 2 , and are gen- erally expressed by 1 and a decimal fraction : thus , log 50 1.698970 . The ...
... decimal fractions thus , log 2 = 0.301030 . The logarithms of all numbers greater than 10 and less than 100 , are greater than 1 and less than 2 , and are gen- erally expressed by 1 and a decimal fraction : thus , log 50 1.698970 . The ...
Page 9
... decimal part of the logarithm , find , in the column of numbers , the first three figures of the given number . Then , pass across the page , along a horizontal line , into the columns marked 0 , 1 , 2 , 3 , 4 , 5 , & c . , until you ...
... decimal part of the logarithm , find , in the column of numbers , the first three figures of the given number . Then , pass across the page , along a horizontal line , into the columns marked 0 , 1 , 2 , 3 , 4 , 5 , & c . , until you ...
Page 10
... decimal part of the logarithm is ob- tained ; to which prefix the characteristic , and you have the entire logarithm ... decimals as there are figures in the multiplier , and add the product so obtained to the first logarithm , and the ...
... decimal part of the logarithm is ob- tained ; to which prefix the characteristic , and you have the entire logarithm ... decimals as there are figures in the multiplier , and add the product so obtained to the first logarithm , and the ...
Page 11
... decimal places , we obtain 56.55 for the number to be added . Hence Adding gives log 672800 5.827886 +56.55 log 672887 5.827943 . In adding the proportional number , we omit the decimal part ; but when the decimal part exceeds 5 tenths ...
... decimal places , we obtain 56.55 for the number to be added . Hence Adding gives log 672800 5.827886 +56.55 log 672887 5.827943 . In adding the proportional number , we omit the decimal part ; but when the decimal part exceeds 5 tenths ...
Page 12
... decimal fraction is also readily found . For , log 0.8 - log - log 8-1 = -1 + log 8. But , log 8 0.903090 which is positive and less than 1. Therefore , log 0.8 == -1 + 0.903090 = -1.903090 in which , however , the minus sign belongs ...
... decimal fraction is also readily found . For , log 0.8 - log - log 8-1 = -1 + log 8. But , log 8 0.903090 which is positive and less than 1. Therefore , log 0.8 == -1 + 0.903090 = -1.903090 in which , however , the minus sign belongs ...
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