## The Field Engineer: A Handy Book of Practice in the Survey, Location, and Track-work of Railroads; Containing a Large Collection of Rules and Tables, Original and Selected Applicable to Both the Standard and the Narrow Gauge ... |

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4º curve A. D. Min added adjustment angle base called central angle centre CHORD circle column corresponding Cosine Cotang Cube curve decimal deflection difference direction dist distance divided elevation engineer equal equivalent error Example feet field figure fixed follows foot frog functions gauge given gives grade ground half height Hence inches intersection length located logarithm mark means measure method metres middle mile minutes Move multiply natural observation opposite outer rail parallel practice quotient radii radius range reference remainder result Roots rule screws side Sine slope square stake straight subtract Suppose switch-rail Table Table XVI tabular taken Tang tangent telescope terminal tion track triangle turn turnout vernier vertical

### Popular passages

Page 2 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.

Page 2 - The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers. log» MN = log» M + log

Page 11 - If the arc, or angle, is less than 45°, look for the degrees at the top of the page, and for the minutes in the...

Page 15 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.

Page 1 - THE LOGARITHM: of a number is the exponent of the power to which it is necessary to raise a fixed number, to produce the given number.

Page 13 - Is to the sum of the other two sides, So is the difference of those sides To the difference of the segments of the base.

Page 13 - AC, (Fig. 25.) is to their difference ; as the tangent of half the sum of the angles ACB and ABC, to the tangent of half their difference.

Page 11 - If the angle is greater than 45°, look for the degrees at the bottom of the page, and for the minutes in the right-hand column ; then follow the corresponding...

Page 13 - In any plane triangle, as twice the rectangle under any two sides is to the difference of the sum of the squares of those two sides and the square of the base, so is the radius to the cosine of the angle contained by the two sides.

Page 9 - The operation of finding the unknown parts is called the solution of the triangle. 2. A plane angle is measured by the arc of a circle included between its sides; the centre of the circle being at the vertex, and its radius being 1. The circle, for convenience, is divided into 360 equal parts called degrees; 90 of these parts are included in a quadrant, which includes one-quarter of the circle, and is the measure of a right angle. Each degree is further divided into 00 equal parts called minutes,...