Elements of Surveying with a Description of the Instruments and the Necessary Tables Including a Table of Natural Sines |
From inside the book
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Page 9
... 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 the logarithm , find , in the column of numbers ...
... 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 the logarithm , find , in the column of numbers ...
Page 26
... known ; for , the chord marked 60 is always equal to the radius of the circle . A scale of chords is generally laid down on the scales which belong to cases of mathematical instruments , and is marked cнo . To lay off , at a given point ...
... known ; for , the chord marked 60 is always equal to the radius of the circle . A scale of chords is generally laid down on the scales which belong to cases of mathematical instruments , and is marked cнo . To lay off , at a given point ...
Page 34
... known or given , the re- maining ones can be determined . 40. Plane Trigonometry explains the methods of finding , by calculation , the unknown parts of a triangle when a sufficient number of the six parts is given . It has already been ...
... known or given , the re- maining ones can be determined . 40. Plane Trigonometry explains the methods of finding , by calculation , the unknown parts of a triangle when a sufficient number of the six parts is given . It has already been ...
Page 37
... known for arcs less than 90 ° , those for arcs which are greater can be found from them . For if an arc is less than 90 ° , its supple- ment will be greater than 90 ° , and the values of these lines are the same for an arc and its ...
... known for arcs less than 90 ° , those for arcs which are greater can be found from them . For if an arc is less than 90 ° , its supple- ment will be greater than 90 ° , and the values of these lines are the same for an arc and its ...
Page 46
... known , we can find the sum of the two other angles : for 4 A + C = 180 ° -B and } ( A + C ) = ( 180 ° — B ) B C We next find half the difference of the angles A and C by Theorem II . Viz . BC + BA : BC– BA :: tan ( A + C ) : tan ¦ ( A ...
... known , we can find the sum of the two other angles : for 4 A + C = 180 ° -B and } ( A + C ) = ( 180 ° — B ) B C We next find half the difference of the angles A and C by Theorem II . Viz . BC + BA : BC– BA :: tan ( A + C ) : tan ¦ ( A ...
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