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
... is the logarithm of N. If now , we multiply the first of these equations by the second , member by member , we have but since a is the base of the system , a TM xa " a " + " = MxN ; INTRODUCTION CHAPTER Of Logarithms,
... is the logarithm of N. If now , we multiply the first of these equations by the second , member by member , we have but since a is the base of the system , a TM xa " a " + " = MxN ; INTRODUCTION CHAPTER Of Logarithms,
Page 10
... multiply this number by the figures that have been considered as ciphers : then cut off from the right hand as many places ... multiplied by 87 , the figures regarded as ciphers The corresponding number , in the column D is 65 , which 10 ...
... multiply this number by the figures that have been considered as ciphers : then cut off from the right hand as many places ... multiplied by 87 , the figures regarded as ciphers The corresponding number , in the column D is 65 , which 10 ...
Page 11
C. Davies. being multiplied by 87 , the figures regarded as ciphers , gives for a product 5655 ; then pointing off two decimal places , we obtain 56.55 for the number to be added . Hence Adding gives log 672800 5.827886 +56.55 log 672887 ...
C. Davies. being multiplied by 87 , the figures regarded as ciphers , gives for a product 5655 ; then pointing off two decimal places , we obtain 56.55 for the number to be added . Hence Adding gives log 672800 5.827886 +56.55 log 672887 ...
Page 14
... multiply numbers by means of their logarithms , we first find from the table the logarithms of the numbers to be multiplied ; we next add these loga- rithms together , and their sum is the logarithm of the pro- duct of the numbers ( Art ...
... multiply numbers by means of their logarithms , we first find from the table the logarithms of the numbers to be multiplied ; we next add these loga- rithms together , and their sum is the logarithm of the pro- duct of the numbers ( Art ...
Page 15
C. Davies. 3. Multiply 3.586 , 2.1046 , 0.8372 , and 0.0294 , together . log 3.586 = 0.554610 Product log 2.1046 0.323170 log 0.8372 = 1.922829 log 0.0294 2.468347 0.1857615 1.268956 . • · In this example the 2 , carried from the decimal ...
C. Davies. 3. Multiply 3.586 , 2.1046 , 0.8372 , and 0.0294 , together . log 3.586 = 0.554610 Product log 2.1046 0.323170 log 0.8372 = 1.922829 log 0.0294 2.468347 0.1857615 1.268956 . • · In this example the 2 , carried from the decimal ...
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