Field Engineering: A Hand-book of the Theory and Practice of Railway Surveying, Location, and Construction, Designed for the Class-room, Field, and Office, and Containing a Large Number of Useful Tables, Original and Selected |
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Common terms and phrases
9 Diff A₁ A₂ assumed backsights bench bisecting CACHE calculated central angle centre line column compound curve correction Cosin Sine Cosin Cotang Tang Cotang cross-hair Cube Cube Roots curvature decimal deflection degree of curve difference distance eleva elevation embankment engineer equal exsec feet fifth column formula frog grade Height of Instrument Hence horizontal inches intersect length line of sight locate logarithm long chord main line main track mantissa measured middle ordinate number of seconds obtained offset perpendicular point of curve prismoid produced PROPORTIONAL R₁ R₂ radius reading right angles S₁ secant side simple curve Sine Cosin Sine slope stakes station subchord subtract surface survey taken tangent point telescope Theodolite tion transit point triangle tunnel turnout vertex vertical Δι
Popular passages
Page 238 - The differences in the logarithms due to a change of 1" in the arc are given in adjoining columns. To find the log sin, cos, tan, or cot of a given arc. Take out from the proper column of the table the logarithm corresponding to the given number of degrees and minutes. If there be any seconds multiply them by the adjoining tabular difference, and apply their product as a correction to the logarithm already taken out. The correction is to be added if the logarithms of the table are increasing with...
Page 189 - ... point B. The correction for any other point is proportional to the square of its distance from A or C. Thus the correction at A...
Page 238 - With the number of degrees at the left side of the page are to be read the minutes in the left-hand column; with the degrees on the right-hand side are to be read the minutes in the right-hand column. When the degrees appear at the top of the page the top headings must be observed, when at the bottom those at the bottom. Since the values found for arcs in the first quadrant are duplicated in the second, the degrees are given from 0° to 180°. The differences in the logarithms due to a change of...
Page 189 - Let AB, BC, be two grades in profile, intersecting at station B, and let A and C be the adjacent stations. It is required to join the grades by a vertical curve extending from A to C.
Page 63 - Instruments and their adjustments, Strength of Materials, Masonry, Principles of Wooden and Iron Roof and Bridge Trusses, Stone Bridges and Culverts, Trestles, Pillars, Suspension Bridges, Dams, Railroads, Turnouts, Turning Platforms, Water Stations, Cost of Earthwork, Foundations, Retaining Walls, etc. In addition to which the elucidation of certain important Principles of Construction is made in a more simple manner than heretofore. By JC Trautwine, CE 12mo, morocco flaps, gilt edges. 32nd thousand,...
Page 239 - ... fourth are the last three figures of a logarithm which is the difference between the log sin and the logarithm of the number of seconds in the first column. The first three figures and the characteristic of this logarithm are placed, once for all, at the head of the column. To find the log sin of an arc less than 2° given to seconds. Reduce the given arc to seconds, and take...
Page 248 - If one side of a triangle is produced, The exterior angle is equal to the sum of the two interior and opposite angles.
Page 237 - ... of proportional parts, which furnishes by inspection the figures of the quotient. Example, — Find the number of which the logarithm is 8.263927 8.263927 First 4 figures 1836 from 263873 Diff. 54.0 Tabular diff. = 236 .-.5th fig. = 2 47.2 6.80 6th fig. = 3 7.08 Ana.
Page 249 - In any triangle, the square of a side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other side upon it.
Page 222 - AO just make the fill OB and without charge for haul; but the haul of every cubic yard taken from AC, and carried to the fill BD, is subject to charge for the distance it is carried, less AB. "It would be impossible to find the distance that each separate yard is carried, but we know from mechanics that the average distance for the entire number of yards is the distance between the centers of gravity of the cut AC, and of the fill BD which is made from it. If, therefore, X and Y represent the centers...