Elements of Surveying: With a Description of the Instruments and the Necessary Tables, Including a Table of Natural Sines |
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Page 35
... secant of an arc is the line drawn from the centre of the circle through one extremity of the arc , and limited by the tangent passing through the other extremity . Thus , OC is the secant of the arc AB . 48. The four lines , BD , OD ...
... secant of an arc is the line drawn from the centre of the circle through one extremity of the arc , and limited by the tangent passing through the other extremity . Thus , OC is the secant of the arc AB . 48. The four lines , BD , OD ...
Page 36
... secant of EB , is called the cosecant of AB . In general , if A is any arc or angle , we have , cos . A sin ( 900— A ) cot A = tan ( 900— A ) cosec A = sec ( 900 — A ) 50. If we take an arc ABEF , greater than 90 ° , its sine will be FH ...
... secant of EB , is called the cosecant of AB . In general , if A is any arc or angle , we have , cos . A sin ( 900— A ) cot A = tan ( 900— A ) cosec A = sec ( 900 — A ) 50. If we take an arc ABEF , greater than 90 ° , its sine will be FH ...
Page 37
... secants are 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 ...
... secants are 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 ...
Page 138
... secants BE and DF are very small in comparison with the diameter of the earth , they may be neglected without sensible error : the expressions above will then become , AE2 - BEX2EC , and AF2 = DFx2FC , or , BE = AE2 2EC ; and DF- AF2 2 ...
... secants BE and DF are very small in comparison with the diameter of the earth , they may be neglected without sensible error : the expressions above will then become , AE2 - BEX2EC , and AF2 = DFx2FC , or , BE = AE2 2EC ; and DF- AF2 2 ...
Page 149
... secant planes , being lines of the surface , will indicate its form at the places of section , and , as the curves are more or less numerous , the form of the surface will be more or less accurately ascertained . If such a system of ...
... secant planes , being lines of the surface , will indicate its form at the places of section , and , as the curves are more or less numerous , the form of the surface will be more or less accurately ascertained . If such a system of ...
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Common terms and phrases
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 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 hence horizontal angle horizontal distance horizontal plane hypothenuse inches instrument intersection LatDegDegDegDeg Distance 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 plane of reference protractor radius right angles right-angled triangle rods scale of equal secant side sights similar triangles Sine Sine spider's lines square chains staff subtract surface survey Tang tangent theodolite true meridian vernier plate vertical limb yards