Elements of Surveying with a Description of the Instruments and the Necessary Tables Including a Table of Natural Sines |
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Page 15
... remains I to be set down . DIVISION OF NUMBERS BY LOGARITHMS . 15. When it is required to divide numbers by means of their logarithms , we have only to recollect , that the subtrac- tion of logarithms corresponds to the division of ...
... remains I to be set down . DIVISION OF NUMBERS BY LOGARITHMS . 15. When it is required to divide numbers by means of their logarithms , we have only to recollect , that the subtrac- tion of logarithms corresponds to the division of ...
Page 16
... remains after subtracting this logarithm from 10 . 10-9.274687 0.725313 . Thus Hence , of 9.274687 . · 0.725313 is the arithmetical complement 17 We will now show that , the difference between two loga- rithms is truly found , by adding ...
... remains after subtracting this logarithm from 10 . 10-9.274687 0.725313 . Thus Hence , of 9.274687 . · 0.725313 is the arithmetical complement 17 We will now show that , the difference between two loga- rithms is truly found , by adding ...
Page 35
... remains after subtracting the arc from 90o . Thus , the arc EB is the complement of AB . The sum of an arc and its complement is equal G to 90o . 43. The supplement of an arc is what remains after subtracting the arc from 180 ° . Thus ...
... remains after subtracting the arc from 90o . Thus , the arc EB is the complement of AB . The sum of an arc and its complement is equal G to 90o . 43. The supplement of an arc is what remains after subtracting the arc from 180 ° . Thus ...
Page 60
... remains in the middle of the tube , one line of the limb is horizontal . But if the bubble recede from the centre of the level , raise the lower , or depress the upper end , one - half by the levelling screws , the other by the thumb ...
... remains in the middle of the tube , one line of the limb is horizontal . But if the bubble recede from the centre of the level , raise the lower , or depress the upper end , one - half by the levelling screws , the other by the thumb ...
Page 66
... 87. Having explained the preliminary principles , it only remains to apply them to the measurement of Heights and PROBLEM I. To determine the horizontal distance to a point Distances . 66 ELEMENTS OF SURVEYING . Heights and Distances,
... 87. Having explained the preliminary principles , it only remains to apply them to the measurement of Heights and PROBLEM I. To determine the horizontal distance to a point Distances . 66 ELEMENTS OF SURVEYING . Heights and Distances,
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