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
... corresponding number : we shall then have , a = M in which m is the logarithm of M. If we take a second exponent n , and let N denote the cor- responding number , we shall have , a " = N in which n is the logarithm of N. If now , we ...
... corresponding number : we shall then have , a = M in which m is the logarithm of M. If we take a second exponent n , and let N denote the cor- responding number , we shall have , a " = N in which n is the logarithm of N. If now , we ...
Page 8
... corresponds to the mul tiplication of their numbers . 3. If we divide the equations by each other , member by member , we have , am an M N ' but since a is the base of the system , m - n is the logarithm of M N hence : one number be ...
... corresponds to the mul tiplication of their numbers . 3. If we divide the equations by each other , member by member , we have , am an M N ' but since a is the base of the system , m - n is the logarithm of M N hence : one number be ...
Page 9
... corresponding number ( Art . 4 ) , its value is known by a simple inspection of the number whose logarithm is sought . Hence , it has not been deemed necessary to write the characteristics in the table . To obtain the decimal part of ...
... corresponding number ( Art . 4 ) , its value is known by a simple inspection of the number whose logarithm is sought . Hence , it has not been deemed necessary to write the characteristics in the table . To obtain the decimal part of ...
Page 10
... log 672800 5.827886 the characteristic being 5 , since there are six places of figures . being multiplied by 87 , the figures regarded as ciphers The corresponding number , in the column D is 65 , which 10 INTRODUCTION .
... log 672800 5.827886 the characteristic being 5 , since there are six places of figures . being multiplied by 87 , the figures regarded as ciphers The corresponding number , in the column D is 65 , which 10 INTRODUCTION .
Page 11
... corresponding numbers , which is not rigorously true . To explain the reason of the above method , let us take the logarithm of 672900 , a number greater than 672800 by 100 . We then have , log 672900 5.827951 - log 672800 = 5.827886 ...
... corresponding numbers , which is not rigorously true . To explain the reason of the above method , let us take the logarithm of 672900 , a number greater than 672800 by 100 . We then have , log 672900 5.827951 - log 672800 = 5.827886 ...
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