Elements of Surveying: With a Description of the Instruments and the Necessary Tables, Including a Table of Natural Sines |
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Results 6-10 of 42
Page 40
... tangent , and subtracted for the cosine and cotangent . EXAMPLES . 1. Find the arc answering to the sine Sine 49 ° 20 ' , next less in the table Tabular difference 9.880054 9.879963 181 ) 9100 ( 50 " Hence , the arc 49 ° 20 ′ 50 ...
... tangent , and subtracted for the cosine and cotangent . EXAMPLES . 1. Find the arc answering to the sine Sine 49 ° 20 ' , next less in the table Tabular difference 9.880054 9.879963 181 ) 9100 ( 50 " Hence , the arc 49 ° 20 ′ 50 ...
Page 41
... tangent of half the sum of the two other angles , to the tangent of half their difference . 58. Let ACB be a triangle : then will AB + AC : AB - AC :: tan ( C + B ) : tan ( C - B ) . With A as a centre , and a radius AC the less of the ...
... tangent of half the sum of the two other angles , to the tangent of half their difference . 58. Let ACB be a triangle : then will AB + AC : AB - AC :: tan ( C + B ) : tan ( C - B ) . With A as a centre , and a radius AC the less of the ...
Page 42
... tangent of either of the acute angles , as the side adjacent to the side opposite . 60. Let CAB be the proposed triangle , and denote the radius by R : then will R : tan C : AC : AB . For , with any radius as CD describe the arc DH ...
... tangent of either of the acute angles , as the side adjacent to the side opposite . 60. Let CAB be the proposed triangle , and denote the radius by R : then will R : tan C : AC : AB . For , with any radius as CD describe the arc DH ...
Page 51
... tangent to the surface , and is called a horizontal plane . All planes parallel to such a plane , are also called horizontal planes . 71. A plane which is perpendicular to a horizontal plane 72. All lines of a horizontal plane , and all ...
... tangent to the surface , and is called a horizontal plane . All planes parallel to such a plane , are also called horizontal planes . 71. A plane which is perpendicular to a horizontal plane 72. All lines of a horizontal plane , and all ...
Page 57
... tangent - screw T. There is a compass on the vernier plate , that is concentric with it , the use of which will be explained under the head compass . The frame - work which supports the horizontal axis of the vertical semicircle UV and ...
... tangent - screw T. There is a compass on the vernier plate , that is concentric with it , the use of which will be explained under the head compass . The frame - work which supports the horizontal axis of the vertical semicircle UV and ...
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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 decimal DegDeg Distance 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 LatDegDeg LatDegDegDegDeg Distance latitude and departure length levelling screws line AC line of collimation logarithm marked measure multiplied natural sines paper parallel passing perpendicular plane of reference protractor radius right angles rods scale of equal secant side sights similar triangles Sine D Sine Sine spider's lines square chains staff subtract surface survey Tang tangent theodolite true meridian vernier plate vertical limb yards