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
... less than 1. They are generally expressed by 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 ...
... less than 1. They are generally expressed by 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 ...
Page 9
... less than 10,000 . 8. Since the characteristic of every logarithm is less by unity than the places of integer figures in its corresponding number ( Art . 4 ) , its value is known by a simple inspection of the number whose logarithm is ...
... less than 10,000 . 8. Since the characteristic of every logarithm is less by unity than the places of integer figures in its corresponding number ( Art . 4 ) , its value is known by a simple inspection of the number whose logarithm is ...
Page 10
... less by unity than all the places of figures in the given number . Take from the last column on the right of the page , marked D , the number on the same horizontal line with the logarithm , and multiply this number by the figures that ...
... less by unity than all the places of figures in the given number . Take from the last column on the right of the page , marked D , the number on the same horizontal line with the logarithm , and multiply this number by the figures that ...
Page 11
... less number 672800 ; and hence the fourth term 56.55 is the difference of their logarithms . This difference therefore , added to the logarithm of the less number , will give that of the greater , nearly . Had there been three figures ...
... less number 672800 ; and hence the fourth term 56.55 is the difference of their logarithms . This difference therefore , added to the logarithm of the less number , will give that of the greater , nearly . Had there been three figures ...
Page 12
... less than the number of the integer figures . 12. The logarithm of a 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 ...
... less than the number of the integer figures . 12. The logarithm of a 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 ...
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